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Unique Predictions Value of Predictions Current Status Core: Deductive Consequences Four Key Discoveries Solar Neutrino Mixing Angle Weinberg Angle Strong Coupling Constant Baryon Asymmetry Round 1. Neutrino Mass Step 1. Banya Equation Step 2. Compare-Skipped Particle Step 3. Suppression Substitution Step 4. Correction Factor Step 5. Mass Prediction Round 2. Proton Lifetime GUT Scale Lifetime Prediction Round 3. No 4th Generation Round 4. Dark Energy w=-1 Round 5. Unique Signatures 21 Mpc BAO Substructure Photon Dispersion Round 6. Higgs Self-Coupling Step 1. Banya Equation Step 2. Higgs Sector Substitution Step 3. CAS Factor Substitution Step 4. lambda_H Calculation Step 5. Experimental Comparison Round 7. Axiom Extension Predictions Round 8. Precision Verification Predictions Round 9. R3 Mining Predictions Round 10. Structural Absence + Precision Round 11. Structural Consequence Predictions Round 12. Structural Extension Predictions Round 13. δ·Causality·Will Predictions Falsification Conditions Overall Scoreboard
Unique Predictions
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Unique Predictions Value of Predictions Current Status Core: Deductive Consequences Four Key Discoveries Solar Neutrino Mixing Angle Weinberg Angle Strong Coupling Constant Baryon Asymmetry Round 1. Neutrino Mass Step 1. Banya Equation Step 2. Compare-Skipped Particle Step 3. Suppression Substitution Step 4. Correction Factor Step 5. Mass Prediction Round 2. Proton Lifetime GUT Scale Lifetime Prediction Round 3. No 4th Generation Round 4. Dark Energy w=-1 Round 5. Unique Signatures 21 Mpc BAO Substructure Photon Dispersion Round 6. Higgs Self-Coupling Step 1. Banya Equation Step 2. Higgs Sector Substitution Step 3. CAS Factor Substitution Step 4. lambda_H Calculation Step 5. Experimental Comparison Round 7. Axiom Extension Predictions Round 8. Precision Verification Predictions Round 9. R3 Mining Predictions Round 10. Structural Absence + Precision Round 11. Structural Consequence Predictions Round 12. Structural Extension Predictions Round 13. δ·Causality·Will Predictions Falsification Conditions Overall Scoreboard

This document is an appendix to the Banya Framework Comprehensive Report. The full content including the framework structure, 118 physics equation validations, CAS operator, and write theory is in the comprehensive report. This document covers the unique predictions that deductively follow from the Banya Framework.

Banya Framework Unique Predictions

Banya Framework Operation Report

Inventor: Han Hyukjin (bokkamsun@gmail.com)

Date: 2026-03-23

Subject: Experimentally verifiable future predictions

Status: Incomplete -- Awaiting experimental verification

The Value of Predictions

The most valuable thing in physics is a prediction. First you predict, then experiments confirm. This is the gold medal of physics.

The Higgs boson was predicted in 1964 and discovered in 2012. It took 48 years. Gravitational waves were predicted in 1916 and detected in 2015. It took 99 years. Dirac's antimatter prediction came in 1928 and the positron was discovered in 1932. It took 4 years.

A theory without predictions is merely an explanation. It needs predictions to be a theory. The predictions must be correct to be science.

Current Status: Incomplete

The predictions in this document have not yet been confirmed experimentally. They are incomplete. The predicted values have been derived, but the experiments have not yet concluded. KATRIN is collecting data until 2027, and Hyper-K is searching for proton decay until 2030.

Being incomplete is not a weakness. Every great prediction was initially incomplete. The Higgs was incomplete for 48 years.

Core: Deductive Consequences

The predictions in this document naturally follow from the Banya Framework's existing derivations. They are deductive consequences of the CAS structure already established in the $\alpha$ derivation, $\theta_W$ derivation, mass hierarchy derivation, and gauge mapping.

No new hypotheses were added. We simply ran what was already in the framework one more time. It is the next round of recursive substitution.

Source of Predictions
Existing derivations ($\alpha$, $\theta_W$, mass hierarchy, gauge mapping)
+ One more round of recursive substitution
= Unique predictions
New hypotheses: 0. Additional parameters: 0.

Four Key Discoveries: Reusable Seeds

Four discoveries emerged from the Banya Framework's previous reports. These four are not merely correct numbers. They are seeds that, when re-substituted into the framework, yield the next generation of discoveries.

1. Solar Neutrino Mixing Angle2026-03-22

$\sin^2\theta_{12} = \dfrac{3}{\pi^2}$

Framework prediction: $0.30396$. Experimental value: $0.304$. Error: 0.013%

Re-substitution use: Seed for neutrino mass spectrum. The mixing angle determines the mass ratios.

2. Weinberg Angle2026-03-22

$\sin^2\theta_W = \dfrac{3}{4\pi}\!\left(1 - \left(4+\dfrac{1}{\pi}\right)\alpha\right)$

Framework prediction: $0.23121$. Experimental value: $0.23122$. Error: 0.005%

Re-substitution use: Key factor for baryogenesis. Determines the magnitude of CP violation.

3. Strong Coupling Constant2026-03-22

$\alpha_s = 3\alpha\,(4\pi)^{2/3}$

Framework prediction: $0.1183$. Experimental value: $0.1179$. Error: 0.3%

Re-substitution use: Key to quark mass derivation. The strength of the strong force determines the quark mass spectrum.

4. Baryon Asymmetry2026-03-22

$\eta = \alpha^4 \sin^2\theta_W \left[1 - 2\!\left(4+\dfrac{1}{\pi}\right)\alpha\right]$

Framework prediction: $6.14 \times 10^{-10}$. Experimental value: $6.1 \times 10^{-10}$. Error: 0.7%

Re-substitution use: Why matter exists in the universe. The excess of matter over antimatter.

When these four are re-substituted into the Banya Framework hypothesis initialization, the next generation of discoveries emerges. The following five rounds are the result.

Round 1. Neutrino Mass Prediction

Step 1. Starting from the Banya Equation

We start from the Banya Equation $\delta^2 = (\text{time} + \text{space})^2 + (\text{observer} + \text{superposition})^2$. All particles are products of CAS operations. CAS has three stages: Read, Compare, Swap.

CAS = Compare + And + Swap
All particles go through these 3 stages. However, neutrinos are an exception.

Step 2. In CAS, Neutrino = Compare-Skipped Particle

Electrons, muons, and taus go through all 3 CAS stages. They are charged leptons. They have electric charge. They couple to the electromagnetic force at the Compare stage.

Neutrinos are different. They skip the Compare stage. They go directly to And without comparison. That is why they have no charge. They do not couple to the electromagnetic force. They interact only via the weak force.

Skipping Compare means that the coupling of magnitude $\alpha$ is missing. This is why neutrino masses are extremely small.

Step 3. $\alpha^5$ Suppression Relative to Charged Leptons

The cost of skipping Compare manifests as a power of $\alpha$. Skipping Compare in CAS phase space produces a 5th-order suppression.

$\dfrac{m_\nu}{m_\text{lepton}} \sim \alpha^5$
$\alpha^5 = (1/137)^5 \sim 2.1 \times 10^{-11}$
This is why neutrino masses are $10^{11}$ times smaller than charged leptons.

Why 5th order? The dimensionality of CAS phase space is domain 4 + internal degrees of freedom 3 = 7. Compare occupies 5 of these 7 degrees of freedom. The comparison operation spans 4 domains, with 1 internal degree of freedom attached. All 5 are missing, hence $\alpha^5$ suppression.

Derivation: Compare domain traversal (comparing state across all 4 domains) + judgment residual (1 comparison-judgment degree of freedom) = 5. The remaining 7-5=2 are Read(1) + minimum existence condition(1), consistent with the physical fact that neutrinos interact only via the weak force (Read).

Step 4. Correction Factor 3/2 Included

A correction factor of $3/2$ is applied to the pure $\alpha^5$ suppression. Since 1 of the 3 CAS stages (Compare) is skipped, the remaining 2 stages (And, Swap) bear the correction. 3 stages with 2 remaining gives $3/2$.

$m_{\nu_i} = \dfrac{3}{2}\,\alpha^5\,m_{\text{lepton}_i}$
$i = 1, 2, 3$ (corresponding to electron, muon, tau)

Step 5. Mass Prediction Values

Neutrino Mass Prediction
$\nu_3$ (tau partner): $\frac{3}{2}\alpha^5 \times m_\tau = \frac{3}{2}(7.297\times10^{-3})^5 \times 1776.86\;\text{MeV} = 55.2\;\text{meV}$
$\nu_2$ (muon partner): $\frac{3}{2}\alpha^5 \times m_\mu = \frac{3}{2}(7.297\times10^{-3})^5 \times 105.66\;\text{MeV} = 3.3\;\text{meV}$
$\nu_1$ (electron partner): $\frac{3}{2}\alpha^5 \times m_e = \frac{3}{2}(7.297\times10^{-3})^5 \times 0.511\;\text{MeV} = 0.016\;\text{meV}$
$\Sigma = 55.2 + 3.3 + 0.016 = 58.5\;\text{meV}$
Verification: KATRIN experiment (direct mass measurement, ~2027), cosmological bounds (Planck + BAO, current upper limit $120\;\text{meV}$)

The current cosmological upper bound is $\Sigma < 120\;\text{meV}$. The Banya Framework prediction of $58.5\;\text{meV}$ falls within this range. It is also consistent with $\Delta m^2$ values from oscillation experiments. $\Delta m^2_{32} \sim 2.5 \times 10^{-3}\;\text{eV}^2$, and $55.2^2 - 3.3^2 = 3036\;\text{meV}^2 \sim 3.0 \times 10^{-3}\;\text{eV}^2$, matching in order of magnitude.

Round 2. Proton Lifetime Prediction

GUT Scale Derivation

In the Banya Framework, the three gauge coupling constants ($\alpha$, $\alpha_W$, $\alpha_s$) branch out from a single CAS structure. The energy scale at which they were unified is the grand unification scale $M_\text{GUT}$.

The distance from $\alpha$ to $M_\text{GUT}$ is expressed as a power of $\alpha$. Of the 7 CAS degrees of freedom, the effective dimension related to gauge coupling is $19/3$. This is the effective dimension occupied by the three gauge groups ($U(1)$, $SU(2)$, $SU(3)$) in the CAS 7-dimensional phase space.

$M_\text{GUT} = M_Z \times \alpha^{-19/3}$
$= 91.19\;\text{GeV} \times (1/137.036)^{19/3}$
$= 91.19 \times 3.46 \times 10^{13}$
$= 3.15 \times 10^{15}\;\text{GeV}$

This value falls within the standard grand unified theory prediction range of $10^{15}$ to $10^{16}\;\text{GeV}$.

Proton Lifetime Prediction

Proton decay lifetime is proportional to the 4th power of $M_\text{GUT}$. It is inversely proportional to the 5th power of the proton mass.

Proton Lifetime Prediction
$\tau_p \sim \dfrac{M_\text{GUT}^4}{\alpha_\text{GUT}^2\,m_p^5}$
$\sim \dfrac{(3.15 \times 10^{15})^4}{(1/40)^2 \times (0.938)^5}\;\text{GeV}^{-4} \times \text{GeV}^5$
$\sim 10^{36}\;\text{yr}$
Verification: Hyper-Kamiokande (~2030), current lower bound Super-K: $\tau_p > 10^{34.4}\;\text{yr}$ ($p \to e^+\pi^0$)

Super-Kamiokande's current lower bound is $10^{34.4}$ years. The Banya Framework prediction of $10^{36}$ years is above this lower bound, so it has not yet been excluded. If Hyper-K increases sensitivity to the $10^{35}$-year range, it could approach this value.

$\alpha_\text{GUT} \approx 1/40$ is the central value of the standard GUT prediction range ($1/25 \sim 1/45$). The exact value depends on the GUT model, and since it is used here only for an order-of-magnitude estimate of proton lifetime, the result is not sensitive to it.

Round 3. No 4th Generation Prediction

The Standard Model has 3 generations. Electron-muon-tau. Up-charm-top. Down-strange-bottom. Why 3 generations? Why is there no 4th?

The Banya Framework's answer is clear-cut.

CAS = 3 stages (Read, Compare, Swap)
3 stages = 3 generations
No 4th operation = No 4th generation

CAS has exactly 3 stages. This is not a design choice but a logical necessity. Read, Compare, Swap. Once these 3 stages are complete, the operation is finished. There is no room for a 4th stage.

No 4th Generation Prediction
At any mass, at any energy, 4th generation fermions do not exist.
Verification: LHC and future collider searches for 4th generation. The non-discovery of a 4th generation to date is consistent with this prediction. Z boson invisible width measurement: $N_\nu = 2.9840$ (consistent with 3 generations).

The strength of this prediction is its falsifiability. If a 4th generation fermion is discovered at any energy, the Banya Framework is wrong. There is nowhere to hide.

Round 4. Dark Energy w = -1

The dark energy equation of state is defined as $w = P / \rho$. $P$ is pressure, $\rho$ is energy density. If $w = -1$, it is a cosmological constant (vacuum energy). If $w$ is not $-1$, it is something that changes over time (quintessence, etc.).

In the Banya Framework, the identity of dark energy is revealed in the comprehensive report. It is the COLD region of the LRU cache. The energy of states that no longer participate in active computation but still exist. This is equivalent to vacuum energy.

$\text{LRU COLD} = \text{Vacuum energy} = \text{Cosmological constant}\;\Lambda$
Vacuum energy does not change over time
Therefore $w = -1$ exactly
Dark Energy Equation of State Prediction
$w = -1.000$ (exactly)
No time dependence: $dw/da = 0$
Verification: DESI (incomplete), Euclid (~2027), LSST (~2030). Current DESI 2024: $w = -0.99 \pm 0.05$ ($1\sigma$). Planck 2018: $w = -1.03 \pm 0.03$.

Why does LRU COLD not change over time? The states in the COLD region have already completed their computation. A finished computation does not restart. Once CAS is complete, it cannot be reversed. Therefore the energy density of COLD remains constant regardless of spacetime expansion. This is the reason for $w = -1$.

Round 5. Unique Signatures

The above 4 predictions could potentially yield similar values from other theories. A unique signature of the Banya Framework is needed. A prediction that cannot come from any other theory, one that follows only from the Banya Framework.

21 Mpc BAO Substructure

The standard scale of baryon acoustic oscillation (BAO) is 147 Mpc. This is the distance sound waves traveled until the epoch of recombination in the early universe.

In the Banya Framework, CAS has a 7-dimensional phase space. This 7 subdivides the BAO scale.

The BAO scale of 147 Mpc is the sound horizon. Dividing it by the CAS phase space dimension 7 is a hypothesis that "7 independent degrees of freedom contribute equally to acoustic oscillations." The spatial scale each degree of freedom handles = 147/7 = 21 Mpc. This is not a spatial division but a mode decomposition.

BAO Substructure Prediction
$\text{BAO}(147\;\text{Mpc})\;/\;\text{CAS}(7) = 21\;\text{Mpc}$
Verification: Search for sub-peaks near 21 Mpc in BAO data from DESI and Euclid. Currently unconfirmed due to insufficient data resolution.

This predicts fine structure at 21 Mpc intervals within the main 147 Mpc peak. This does not arise in standard cosmology. In the Standard Model, there is no reason for the number 7 to intervene in BAO. This is a unique signature that comes only from the Banya Framework.

$\alpha \times (E/E_P)^2$ Photon Dispersion

In the Banya Framework, the Compare stage of CAS incurs a cost of $\alpha$. This cost grows as energy approaches the Planck energy.

Photon Dispersion Prediction
$\dfrac{\Delta v}{c} = \alpha \times \left(\dfrac{E}{E_P}\right)^{\!2}$
Verification: Measurement of energy-dependent arrival time differences in gamma-ray bursts (GRBs). Fermi-LAT, CTA (~2028). Current Fermi-LAT limit: $\Delta v/c < 10^{-20}$ ($E \sim 10\;\text{GeV}$).

Standard quantum gravity models predict $\Delta v / c \sim (E/E_P)$ or $(E/E_P)^2$. The Banya Framework multiplies this by $\alpha$. Because the Compare cost imparts a subtle energy dependence even to the speed of light. The specific coefficient of $\alpha$ is a signature unique to the Banya Framework.

Round 6. Higgs Self-Coupling Prediction

The Higgs boson self-coupling constant $\lambda_H$ determines the vertex strength of the Higgs potential. In the Standard Model, $\lambda_H = m_H^2 / (2v^2)$ is back-calculated from the Higgs mass and vacuum expectation value. The Banya Framework derives $\lambda_H$ directly from the CAS cost structure.

Step 1. Starting from the Banya Equation

We start from the Banya Equation $\delta^2 = (\text{time} + \text{space})^2 + (\text{observer} + \text{superposition})^2$. The Higgs sector is the mechanism that grants mass at the Swap stage of CAS. The cost structure of Swap directly determines the magnitude of Higgs self-coupling.

Step 2. Substituting CAS Cost into the Higgs Sector

Among the 4 CAS operations (Swap, Compare, Shift, Read), Swap (‖√3‖ norm) has the highest cost and is assigned to the highest-cost stage (S, 3rd generation) (Derivation Demo 2). $y_t \approx 1$ means the Swap base cost is 1. The CAS FSM 011 norm √2 divides the VEV to give $m_t = v/\sqrt{2}$. Higgs self-coupling $\lambda_H = 7/54$ is determined by CAS completeness (7), generation structure ($3^3$), and Compare binary branching (2).

Step 3. CAS Factor Substitution

CAS completeness value: $7$ (phase space dimension 4 + internal degrees of freedom 3)
Generation structure: $3^3 = 27$ (3 generations $\times$ 3 colors $\times$ 3 CAS stages)
Compare factor: $2$ (binary branching of comparison operation)

Although the Higgs boson is a color singlet, Higgs self-coupling is influenced by color degrees of freedom through virtual quark loops. $3^3 = 27$ is not a direct coupling but an indirect contribution through virtual processes.

Step 4. $\lambda_H$ Calculation

$\lambda_H = \dfrac{7}{2 \times 3^3} = \dfrac{7}{54}$
$= 0.12963$

Step 5. Experimental Comparison

The experimental value of $\lambda_H$ back-calculated from the Standard Model Higgs mass is $\lambda = m_H^2/(2v^2) = 125.25^2/(2 \times 246.22^2) = 0.12943$ ($m_H = 125.25\;\text{GeV}$ PDG 2024, $v = 246.22\;\text{GeV}$). The error from the Banya Framework prediction of $0.12963$ is $0.16\%$.

The Higgs mass is also directly derived. $m_H = v \times \sqrt{2\lambda_H} = v \times \sqrt{7/27}$.

$m_H = 246.22\;\text{GeV} \times \sqrt{7/27}$
$= 246.22 \times 0.50918$
$= 125.37\;\text{GeV}$
Experimental value: $125.25\;\text{GeV}$. Difference: $0.12\;\text{GeV}$ ($0.7\sigma$)

Higgs Self-Coupling: Directly Derived from CAS2026-03-23

$\lambda_H = \dfrac{7}{54} = 0.12963$

Experimental value: $\lambda = m_H^2/(2v^2) = 0.12943$ ($m_H = 125.25\;\text{GeV}$, $v = 246.22\;\text{GeV}$). Error: 0.16%

$m_H = v \times \sqrt{7/27} = 125.37\;\text{GeV}$

Experimental value: $125.25\;\text{GeV}$. Error: $0.7\sigma$

Higgs Self-Coupling Prediction Hit
$\lambda_H = \dfrac{7}{54} = 0.12963$
$m_H = 125.37\;\text{GeV}$
Confirmed as hit via D-24 ($\lambda_H = 7/54$, 0.16%) and D-25 ($m_H = 125.37$ GeV, 0.10%). Awaiting precision confirmation at future colliders. Direct measurement of Higgs self-coupling planned at HL-LHC (~2035).

The value $7/54$ is uniquely determined by the CAS structure. 7 is the CAS phase space dimension, and 54 is the Compare binary branching ($\times 2$) of the generation structure 27. There are no adjustable parameters. Whether right or wrong, this is the only value.

Round 7. Axiom Extension Predictions (P-08 ~ P-14)

Predictions derived from the Axiom 11~15 extension. While Rounds 1~6 came from the CAS core structure (Axioms 1~10), this round comes from the extended axioms. DATA discreteness, entity distortion, d-ring dimension table, LRU lifecycle, and ring seam asymmetry (δ bit 7 → observer bit 0) produce physical consequences.

P-08. Discrete Cost Ceiling in Extreme Density Regions
DATA is discrete, $d_\text{min} = 1$, so cost has a finite maximum. No singularity.
Verification: ngEHT, next-gen X-ray (2030~). Energy spectrum cutoff below Planck scale.
Falsification: Energy divergence observed at any finite region.
Source: Axiom 13 proposition (singularity does not exist).
P-09. Casimir Discrete Steps
Entity distortion is discrete, so Casimir force shows step structure at sub-nm scale, not continuous $1/d^4$.
Verification: AFM-based sub-nm Casimir measurement (2028~).
Falsification: Perfect continuous $1/d^4$ at all scales.
Source: Axiom 11 proposition (entity distortion) + Axiom 12 proposition (DATA discrete).
P-10. Spin Quantization = SP Bit Discreteness
Dimension stack SP advances in bit units (0 or 1 only). No intermediate values. Therefore spin is integer or half-integer ONLY. Spin $1/3$ impossible.
Verification: All particle searches (LHC Run 4, FCC-hh).
Falsification: Particle with spin $1/3$ or $2/3$ found.
Source: Axiom 2 proposition (CAS 3-axis orthogonality) + Axiom 5 (CAS 3 bits, TOCTOU_LOCK).
P-11. CAS Path Numbers in Unstable Particle Lifetime Ratios
Lifetime ratios of unstable particles systematically contain CAS access path numbers (30, 7, 3).
Verification: PDG data reanalysis. Immediately testable.
Falsification: No systematic correlation found in any lifetime ratio.
Source: Axiom 10 proposition (observer = filter + entry point) + Axiom 12 (LRU lifecycle).
P-12. Internal Structure of Extreme-Density Objects (Tidal Deformability $\neq 0$)
Black holes have internal structure (discrete $d=1$ lattice). Tidal deformability is non-zero.
Verification: LIGO/Virgo/KAGRA O5, LISA (2025~2035).
Falsification: Tidal deformability exactly 0 (point singularity confirmed).
Source: Axiom 13 proposition (singularity does not exist, $N^2$ accumulation).
P-13. Strong CP Violation Is Non-Zero (nEDM $\neq 0$)
Head/tail asymmetry (Axiom 15) is structural. CP violation cannot be exactly zero at any scale. nEDM must be non-zero.
Verification: nEDM@PSI, n2EDM (2025~2030).
Falsification: nEDM measured to be exactly 0 below $10^{-28}\;e \cdot \text{cm}$.
Source: Axiom 15 proposition (ring seam = equals + entry point, read-write asymmetry).
P-14. Singularity Does Not Exist (Discrete Maximum)
At $d=1$ (discrete minimum), individual cost is finite ($1/1^2 = 1$). Black hole = $N^2$ accumulation of finite costs. No infinity.
Verification: Gravitational wave ringdown spectrum from BH mergers. Discrete internal structure produces characteristic deviations from GR point-singularity prediction.
Falsification: All BH merger signals perfectly match point-singularity GR with zero deviation.
Source: Axiom 13 proposition (singularity does not exist).

Round 8. Precision Verification Predictions (P-15 ~ P-21)

Seven precision predictions that follow directly from CAS structure after axiom extension. Each is verifiable by specific experiments.

P-15. Quark Mass Ratio CAS Gear Structure
Quark mass ratios reflect CAS gear structure. CAS step count and domain axes appear directly in mass ratios.
Verification: PDG reanalysis. Available now.
Falsification: CAS gear pattern in quark mass ratios is not statistically significant.
Source: Axiom 1 (domain 4-axis), Axiom 3 (CAS 7 states).
P-16. Lifetime Ratio Contains $(2\pi/9)^5$
Unstable particle lifetime ratios contain the factor $(2\pi/9)^5$. $2\pi/9$ = phase($2\pi$) over CAS complete description(9).
Verification: Belle II. 2026~.
Falsification: Belle II precision measurement deviates from $(2\pi/9)^5$ pattern by more than $3\sigma$.
Source: Axiom 9 (complete description 9 DOF), CAS path count.
P-17. Gravitational Wave Ringdown Discrete Deviation
Deviations from GR prediction exist in black hole merger ringdown due to discrete internal structure.
Verification: LIGO O5. 2025~.
Falsification: LIGO O5 ringdown perfectly matches GR point-singularity.
Source: Axiom 13 proposition (discrete maximum).
P-18. QCD $b_0$ Numerator = CAS Ring Size Pattern
CAS ring size pattern appears in the $b_0$ numerator of the QCD $\beta$-function. $7 = $ CAS degrees of freedom.
Verification: LHC reanalysis. Available now.
Falsification: CAS ring pattern in $b_0$ structure turns out to be coincidence.
Source: D-44 ($\beta_0 = 7/(4\pi)$), Axiom 3 (CAS 7 states).
P-19. Quantum Computer Error Rate Floor = $\alpha$
The physical error rate floor of quantum error correction is set by $\alpha$. Physical limit of CAS write cost.
Verification: QEC experiments. 2026~.
Falsification: Error rate can be reduced infinitely below $\alpha$ scale.
Source: H-96 (QEC FSM), D-01 ($\alpha$).
P-20. Dark Matter Cross-Section = LRU WARM Structure
Dark matter direct detection cross-section reflects LRU WARM structure. WARM = accessible but unlocked state.
Verification: XENONnT. 2026~.
Falsification: XENONnT measures cross-section unrelated to LRU WARM pattern.
Source: Axiom 6 (LRU), WARM fraction $15/57$.
P-21. Gravitational Wave Dispersion Coefficient = $\alpha$
Gravitational wave dispersion coefficient is determined by $\alpha$. Direct signature of discrete spacetime.
Verification: LISA/ET. 2030~.
Falsification: LISA/ET measures gravitational wave dispersion as exactly 0 or unrelated to $\alpha$.
Source: D-01 ($\alpha$), Axiom 13 (discrete spacetime).

Round 9. R3 Mining Predictions (P-22 ~ P-26)

Five precision predictions from Round 3 mining, directly following from CAS structure. Each is verifiable by specific experiments.

P-22. CKM Unitarity Deficit = $(2/9)^2 \times \alpha_s/\pi$
CKM first-row unitarity deficit is determined by $(2/9)^2 \times \alpha_s/\pi$. $2/9$ = Koide constant.
Verification: Belle II. 2026~.
Falsification: Belle II measures unitarity deficit inconsistent with $(2/9)^2 \times \alpha_s/\pi$ by more than $3\sigma$.
Source: D-09 (Koide $2/9$), D-03 ($\alpha_s$), H-129 ($\bar{r}$).
P-23. Dimension Stack = AZ Topological Classification (Period 8 = 8-bit Ring)
Dimension stack matches Altland-Zirnbauer topological classification. Period 8 = Axiom 15's 8-bit ring buffer.
Verification: Existing data reanalysis. Immediately possible.
Falsification: No mathematical correspondence between AZ classification period 8 and 8-bit ring structure.
Source: Axiom 15 (8-bit ring buffer), AZ topological classification.
P-24. $n_s$ Running = $-(2/57)^2 = -0.00123$
Scalar spectral index running is determined by $-(2/57)^2 = -0.00123$. $57$ = CAS total cost budget.
Verification: CMB-S4. 2028~.
Falsification: CMB-S4 measures $dn_s/d\ln k$ inconsistent with $-0.00123$ by more than $3\sigma$.
Source: Axiom 4 (cost structure), H-46 (LRU Friedmann).
P-25. No Axion, No Gravitino
Axions do not exist. $\theta_\text{QCD} = \alpha^8 \sim 10^{-17}$, so the CP problem is already resolved. Gravitinos also do not exist. SUSY partners are unnecessary.
Verification: ADMX. 2026~.
Falsification: ADMX detects axion signal, or LHC discovers gravitino candidate.
Source: D-01 ($\alpha$), Axiom 2 (CAS sole operator), P-13 (strong CP violation).
P-26. Tensor-to-Scalar Ratio $r = (2/57)^2 = 0.00123$
Tensor-to-scalar ratio $r = (2/57)^2 = 0.00123$. Single-field slow-roll excluded by CAS.
Verification: CMB-S4. 2028~.
Falsification: $r > 0.01$ at $5\sigma$.
Source: Axiom 4 (cost structure), D-68 ($n_s = 55/57$).

Round 10. Structural Absence + Precision Predictions (P-27 ~ P-50)

Eight objects that cannot exist deductively from CAS structure, plus 16 precision numerical predictions.

Does Not Exist — CAS Structural Absence

P-27. No Magnetic Monopole
CAS electromagnetic cost is a single Compare operation. No independent source for magnetic charge. $\nabla \cdot \mathbf{B} = 0$ is an axiomatic consequence.
Verification: MoEDAL/LHC. 2026~.
Falsification: Magnetic monopole signal detected at $5\sigma$.
Source: Axiom 2 (CAS sole operator), D-01 ($\alpha$).
P-28. No Sterile Neutrino Above eV Scale
CAS 3 stages = 3 generations. Three active neutrinos are complete. eV-scale sterile neutrino unnecessary.
Verification: MicroBooNE/SBND. 2026~.
Falsification: eV-scale sterile neutrino discovered at $5\sigma$.
Source: Axiom 2 (CAS 3 stages), P-03 (no 4th generation).
P-29. No New Gauge Boson Below 10 TeV
CAS completely determines $SU(3) \times SU(2) \times U(1)$. Additional gauge symmetries are structurally impossible.
Verification: LHC Run 3/4. 2026~.
Falsification: $Z'$ or $W'$ discovered at LHC ($< 10$ TeV).
Source: Axiom 2 (CAS sole operator), H-02 (CAS-gauge correspondence).
P-30. No Extra Dimensions
Axiom 1's 4 axes + Axiom 9's complete DOF 9 = total dimensional structure complete. Extra spatial dimensions unnecessary.
Verification: LHC Run 4. 2030~.
Falsification: Extra-dimension KK mode discovered at $5\sigma$.
Source: Axiom 1 (4-axis orthogonal), Axiom 9 (complete DOF).
P-31. No SUSY Particles
CAS cost structure completely determines gauge couplings. Coupling unification achieved without SUSY. Superpartners unnecessary.
Verification: LHC Run 3/4. 2026~.
Falsification: SUSY partner discovered at LHC at $5\sigma$.
Source: Axiom 2 (CAS sole operator), D-03 ($\alpha_s$).
P-32. No Proton Decay via Dimension-6 Operators
Proton decay channel $p \to e^+\pi^0$ is forbidden by CAS atomicity. Lifetime $> 10^{36}$ years (P-02).
Verification: Hyper-K. 2027~.
Falsification: $p \to e^+\pi^0$ channel measured with $\tau_p < 10^{35}$ years.
Source: P-02 (proton lifetime), Axiom 14 (FSM declaration).
P-39. No SUSY at LHC Run 4
Time-specific version of P-31. LHC Run 4 ($\sqrt{s} = 14$ TeV, 3000 fb$^{-1}$) yields zero SUSY signal.
Verification: LHC Run 4. 2030~.
Falsification: SUSY signal at LHC Run 4 above $3\sigma$.
Source: P-31 (no SUSY), Axiom 2.
P-40. No Additional Higgs Boson
CAS Higgs sector is complete with $\lambda_H = 7/54$ alone (P-11). 2HDM, NMSSM, and other extended scalars unnecessary.
Verification: LHC Run 3/4, FCC. 2026~.
Falsification: Additional scalar boson discovered at $5\sigma$.
Source: P-11 ($\lambda_H = 7/54$), Axiom 2 (CAS sole operator).

Precision Predictions

P-33. $dw/da = 0$ Exactly
Dark energy equation of state has exactly zero scale-factor dependence. $w_0 = -1$, $w_a = 0$. No time variation in CPL parameterization.
Verification: DESI/Euclid/Rubin. 2026~.
Falsification: $w_a \neq 0$ at $3\sigma$.
Source: P-04 ($w = -1$), D-15 ($\Lambda$).
P-34. Neutron EDM $d_n = \alpha^8$ Scale $\sim 10^{-30}\;e \cdot \text{cm}$
$\theta_\text{QCD} = \alpha^8 \sim 10^{-17}$, so $d_n \sim \theta \times e/(m_n c) \sim 10^{-30}\;e \cdot \text{cm}$. Four orders below current limit ($10^{-26}$).
Verification: nEDM@SNS. 2028~.
Falsification: $d_n > 10^{-27}\;e \cdot \text{cm}$.
Source: D-01 ($\alpha$), P-13 ($\theta_\text{QCD}$).
P-35. $\Sigma m_\nu = 58.5\;\text{meV}$ Precision Confirmation
Precision version of P-01. KATRIN + cosmology cross-verification predicts $58.5 \pm 5\;\text{meV}$ range.
Verification: KATRIN/CMB-S4/Euclid. 2027~.
Falsification: $\Sigma m_\nu > 80\;\text{meV}$ or $< 40\;\text{meV}$ at $3\sigma$.
Source: P-01 (neutrino mass sum).
P-36. DUNE/JUNO Confirms Normal Ordering (NO)
Experiment-specific version of P-10. JUNO confirms NO at $3\sigma$ or above, DUNE independently verifies.
Verification: JUNO 2025~, DUNE 2030~.
Falsification: IO confirmed at $3\sigma$.
Source: P-10 (neutrino NO).
P-37. FCC-ee Measures $N_\nu = 3$ Exactly
Effective neutrino number from $Z$ invisible width: $N_\nu = 3.0000 \pm 0.001$. Deviation from 3 is impossible.
Verification: FCC-ee. 2040~.
Falsification: $N_\nu$ deviates from $3$ by more than $0.004$.
Source: Axiom 2 (CAS 3 stages), P-03 (no 4th generation).
P-38. CMB-S4 Confirms $n_s$ Running
Experiment-specific version of P-24. $dn_s/d\ln k = -(2/57)^2 = -0.00123$. CMB-S4 confirms negative running at $2\sigma$ or above.
Verification: CMB-S4. 2028~.
Falsification: CMB-S4 cannot distinguish running from $0$.
Source: P-24 ($n_s$ running).
P-41. LISA Gravitational Wave Dispersion = $\alpha(E/E_P)^2$
Gravitational wave version of P-05 (photon dispersion). GWs follow same dispersion relation. Measurable in LISA frequency band.
Verification: LISA. 2035~.
Falsification: LISA measures GW dispersion as exactly 0 or unrelated to $\alpha$.
Source: P-05 (photon dispersion), D-01 ($\alpha$).
P-42. Proton Radius $r_p = 0.8413\;\text{fm}$ All Methods Converge
Muonic hydrogen, electron scattering, hydrogen spectroscopy all converge to $0.8413 \pm 0.0005\;\text{fm}$. Puzzle resolved.
Verification: PRad-II/MUSE. 2026~.
Falsification: $3\sigma$ disagreement persists between methods.
Source: H-35 ($r_p$ alpha ladder).
P-43. Quantum Gate Error Floor $\sim 0.73\%$
$\alpha/(2\pi) = 0.00116 = 0.116\%$ is 1-loop correction. CAS cost structure sets gate error lower bound at $1/137 \approx 0.73\%$.
Verification: IBM/Google quantum computers. 2027~.
Falsification: Single-qubit gate error sustained below $0.1\%$.
Source: D-01 ($\alpha$), Axiom 4 (cost).
P-44. Maximum Entanglement Entropy = $8 \ln 2$
Axiom 15's 8-bit ring buffer determines maximum entanglement entropy. $S_\text{max} = 8 \ln 2$ bits.
Verification: Quantum simulator experiments. 2027~.
Falsification: $S > 8\ln 2$ measured in 8-qubit system.
Source: Axiom 15 (8-bit ring buffer).
P-45. Quantum Channel Capacity = Compare Bifurcation
Holevo capacity of quantum channel determined by CAS Compare bifurcation structure (2-way). $C = \log 2 = 1$ bit/use.
Verification: Quantum communication experiments. 2028~.
Falsification: Single-qubit channel exceeds Holevo bound.
Source: Axiom 2 (CAS Compare), Axiom 15.
P-46. Muon $g-2$ HVP Contribution $\sim 690 \times 10^{-10}$
CAS cost structure yields hadronic vacuum polarization (HVP) contribution $a_\mu^\text{HVP} \approx 690 \times 10^{-10}$. Consistent with lattice QCD results.
Verification: Fermilab $g-2$ final result. 2026.
Falsification: HVP deviates from $690 \times 10^{-10}$ by more than $3\sigma$.
Source: D-01 ($\alpha$), H-38 ($a_e$).
P-47. $0\nu\beta\beta$ Effective Mass $m_{ee} \sim 0.1\;\text{meV}$ (Below Detection)
Neutrinos are Dirac particles, so $0\nu\beta\beta$ unobserved. Even if Majorana, $m_{ee} \sim 0.1\;\text{meV}$ is below current experimental limits.
Verification: LEGEND-1000/nEXO. 2028~.
Falsification: $0\nu\beta\beta$ half-life $< 10^{27}$ years measured.
Source: P-01 (neutrino mass), P-10 (NO).
P-48. No Leptoquark
In CAS, quark-lepton conversion occurs only via inter-stage Swap. Independent leptoquark mediator unnecessary.
Verification: LHC Run 3/4. 2026~.
Falsification: Leptoquark discovered at $5\sigma$.
Source: Axiom 2 (CAS sole operator), H-02.
P-49. $\Omega_k = 0$ Exactly
CAS norm conservation enforces zero global curvature. The universe is exactly flat.
Verification: CMB-S4/Euclid. 2028~.
Falsification: $|\Omega_k| > 0.002$ at $3\sigma$.
Source: Axiom 1 (norm conservation), D-15 ($\Lambda$).
P-50. $r = |dn_s/d\ln k|$ Consistency Relation + $N_e = 57$
Unification of P-24 and P-26. $r = (2/57)^2 = |dn_s/d\ln k|$. e-folding number $N_e = 57 = $ CAS total cost budget.
Verification: CMB-S4/LiteBIRD. 2028~.
Falsification: $r$ and $|dn_s/d\ln k|$ disagree by more than $3\sigma$.
Source: P-24 ($n_s$ running), P-26 ($r$), Axiom 4 (cost structure).

Round 11. Structural Consequence Predictions (P-51 ~ P-70)

20 predictions deductively following from CAS structure and the axiom system. Pipeline costs, indexing corrections, combinatorial upper bounds, consciousness flag consequences.

P-51. SM Particle DOF = 128 = $2^7$. FCC-hh
Total Standard Model particle degrees of freedom are exactly $128 = 2^7$. Complete indexing with a 7-bit address space.
Verification: FCC-hh. 2040~.
Falsification: New particle DOF outside 128 discovered at $5\sigma$.
Source: Axiom 1 (4-axis orthogonal), Axiom 9 (complete DOF).
P-52. 4 Pipeline Stages = 4 Cost Structures. No 5th Force
CAS pipeline's 4 stages determine exactly 4 cost structures. A 5th force is structurally impossible.
Verification: 5th force search experiments. 2026~.
Falsification: 5th force discovered at $5\sigma$.
Source: Axiom 4 (cost structure), Axiom 2 (CAS sole operator).
P-53. $K^\pm$ Indexing Correction 27 MeV. Lattice QCD
CAS indexing correction predicts a 27 MeV contribution to $K^\pm$ mass.
Verification: Lattice QCD precision calculation. 2027~.
Falsification: Lattice QCD result disagrees with 27 MeV by more than $3\sigma$.
Source: Axiom 2 (CAS 3 stages), Axiom 4 (cost structure).
P-54. $D^\pm$ Indexing ~130 MeV. Belle II
CAS indexing correction predicts ~130 MeV contribution to $D^\pm$ mass.
Verification: Belle II. 2027~.
Falsification: Belle II precision measurement disagrees with ~130 MeV by more than $3\sigma$.
Source: Axiom 2 (CAS 3 stages), Axiom 4 (cost structure).
P-55. $B^\pm$ Indexing ~430 MeV. LHCb
CAS indexing correction predicts ~430 MeV contribution to $B^\pm$ mass.
Verification: LHCb. 2027~.
Falsification: LHCb precision measurement disagrees with ~430 MeV by more than $3\sigma$.
Source: Axiom 2 (CAS 3 stages), Axiom 4 (cost structure).
P-56. Decoherence Threshold = 16 Environment DOF
CAS domain 4-axis $2^4 = 16$ environment DOF determines the decoherence threshold.
Verification: Quantum decoherence precision experiments. 2028~.
Falsification: Decoherence threshold unrelated to 16 DOF.
Source: Axiom 1 (4-axis orthogonal), Axiom 5 (domain).
P-57. $C(7,2) = 21$ = Meson State Upper Bound
Quark-antiquark combinations from 7-bit index. $\binom{7}{2} = 21$ is the combinatorial upper bound on meson states.
Verification: LHCb/Belle II meson spectroscopy. 2028~.
Falsification: Independent meson states exceeding 21 discovered at $5\sigma$.
Source: Axiom 9 (complete DOF), P-51 (128 DOF).
P-58. $C(7,3) = 35$ = Baryon State Upper Bound
3-quark combinations from 7-bit index. $\binom{7}{3} = 35$ is the combinatorial upper bound on baryon states.
Verification: LHCb/BESIII baryon spectroscopy. 2028~.
Falsification: Independent baryon states exceeding 35 discovered at $5\sigma$.
Source: Axiom 9 (complete DOF), P-51 (128 DOF).
P-59. CPT Violation ~ $\alpha^8$ ~ $10^{-17}$
Full cycle cost of CAS 8-bit ring buffer. CPT violation magnitude at $\alpha^8 \sim 10^{-17}$ level.
Verification: ALPHA/BASE (antihydrogen). 2030~.
Falsification: CPT violation disagrees with $10^{-17}$ by more than $3\sigma$.
Source: Axiom 15 (8-bit $\delta$), Axiom 2 (CAS).
P-60. Inflation Transition Probability = $1/128$
Single transition probability in 128-state space. Inflation onset probability is $1/128$.
Verification: CMB-S4. 2028~.
Falsification: Inflation model disagrees with $1/128$ transition by more than $3\sigma$.
Source: P-51 (128 DOF), Axiom 4 (cost structure).
P-61. Minimum Event Interval = $4\,t_P$
CAS pipeline 4 stages determine minimum time resolution as $4\,t_P$ (4 Planck times).
Verification: Planck-scale time resolution experiments. 2035~.
Falsification: Physical event observed at interval less than $4\,t_P$.
Source: Axiom 4 (cost structure), Axiom 3 (pipeline).
P-62. e-folding $N_e = 57$. $n_s = 1 - 2/57$
CAS total cost budget determines e-folding number $N_e = 57$. Scalar spectral index $n_s = 1 - 2/57 = 0.96491$.
Verification: CMB-S4/LiteBIRD. 2028~.
Falsification: $n_s$ disagrees with $0.96491$ by more than $3\sigma$.
Source: Axiom 4 (cost structure), P-50 ($N_e = 57$).
P-63. Graviton Massless = $\delta$ Fire Cost 0
$\delta$ (consciousness flag) fire cost is 0. Graviton confirmed as massless mediator.
Verification: LISA/ET gravitational wave dispersion measurement. 2035~.
Falsification: Graviton mass $m_g > 10^{-23}$ eV measured.
Source: Axiom 15 ($\delta$), Axiom 4 (cost structure).
P-64. Asymmetric Meson Universal Formula
CAS indexing cost assigns a universal formula for charged meson mass splitting. $K$, $D$, $B$ unified.
Verification: Belle II/LHCb precision spectroscopy. 2028~.
Falsification: $K/D/B$ mass splitting cannot be unified into a single formula.
Source: P-53, P-54, P-55, Axiom 4 (cost structure).
P-65. Tsirelson Bound $2\sqrt{2}$ = 4-Domain Orthogonal
CAS 4-domain orthogonal structure determines the maximum Bell inequality violation $2\sqrt{2}$. Tsirelson bound is an axiomatic consequence.
Verification: Loophole-free Bell tests. 2027~.
Falsification: Bell inequality violation exceeding $2\sqrt{2}$ observed at $5\sigma$.
Source: Axiom 1 (4-axis orthogonal), Axiom 5 (domain).
P-66. QEC Minimum Physical Qubits = 7
7-bit index space determines the minimum physical qubit count for quantum error correction as 7. Consistent with Steane code.
Verification: Quantum error correction experiments. 2027~.
Falsification: Complete QEC achieved with fewer than 7 physical qubits.
Source: P-51 (128 = $2^7$), Axiom 9 (complete DOF).
P-67. Landauer Limit = CAS Irreversibility
Minimum energy dissipation of CAS irreversible operation determines the Landauer limit $kT\ln 2$. Information erasure cost is axiomatic.
Verification: Nanoscale thermodynamics experiments. 2027~.
Falsification: Bit erasure energy measured below $kT\ln 2$.
Source: Axiom 2 (CAS sole operator), Axiom 4 (cost structure).
P-68. $\Lambda l_P^2 = \alpha^{57}$ Precision
Product of cosmological constant and Planck length determined to $\alpha^{57}$ precision. Connection between CAS cost budget 57 and $\alpha$.
Verification: Euclid/DESI precision measurement. 2028~.
Falsification: $\Lambda l_P^2$ disagrees with $\alpha^{57}$ by more than $3\sigma$.
Source: Axiom 4 (cost structure), D-15 ($\Lambda$), P-62 ($N_e = 57$).
P-69. Photon Massless = Filter Cost 0
CAS filter operation cost is 0. Photon confirmed as massless mediator. Exactness of $U(1)$ gauge symmetry.
Verification: Photon mass upper limit experiments. 2027~.
Falsification: Photon mass $m_\gamma > 10^{-18}$ eV measured.
Source: Axiom 2 (CAS sole operator), Axiom 4 (cost structure).
P-70. Periodic Table 8-Period Limit
CAS 8-bit ring buffer limits the maximum period of the periodic table to 8. Period 9 and beyond is structurally impossible.
Verification: Superheavy element synthesis. 2030~.
Falsification: Stable synthesis of a period-9 element.
Source: Axiom 15 (8-bit $\delta$), Axiom 9 (complete DOF).

Round 12. Structural Extension Predictions (P-71 ~ P-100)

30 predictions deduced from 2-nibble structure, fire bit, pipeline, 128 state space, and indexing cost. 2026-03-28.

P-71. Gauge Boson Count 12 = 4×3 Invariant
SM gauge boson total = domain 4-axis × CAS 3-stage = 12. A 13th gauge boson is structurally impossible.
Verification: FCC-hh 100 TeV. 2040~.
Falsification: 13th gauge boson discovered at $5\sigma$.
Source: Axiom 1 (4-axis orthogonal), Axiom 2 (CAS 3-stage).
P-72. Dark Sector 71 States = Invisible DOF Upper Bound
Dark sector effective DOF total = 71 = 128 − 57. $N_\text{eff} = 3.044 + 71\epsilon$ ($\epsilon < 10^{-3}$).
Verification: CMB-S4 $N_\text{eff}$ precision. 2028~.
Falsification: Visible DOF exceeding 57 discovered.
Source: H-199 (128−57=71), Axiom 9 (complete DOF).
P-73. Pipeline Render Delay = Measurement Problem
Quantum measurement "collapse" = pipeline render→screen transition. Minimum resolution = $1\,t_P$. Result confirmation delay $\geq 3\,t_P$.
Verification: Ultrafast quantum measurement experiments. 2035~.
Falsification: Measurement delay below $t_P$ confirmed.
Source: Axiom 3 (pipeline), Axiom 4 (cost structure).
P-74. 128 States = Neutrino Oscillation Independent Phases
Full 3-generation cycle independent phase count = $128/2^4 = 8$. Only Dirac CP phase observed; Majorana phases below detection.
Verification: DUNE/JUNO CP phase measurement. 2030~.
Falsification: Majorana phase detected at $5\sigma$.
Source: P-51 (128=$2^7$), Axiom 1 (4-axis orthogonal).
P-75. $B_c^\pm$ Indexing Cost ~81 MeV
$B_c^\pm$ mass splitting indexing contribution $3 \times 27 = 81$ MeV. Cross-domain cost of 3 units.
Verification: LHCb $B_c$ precision spectroscopy. 2028~.
Falsification: Indexing contribution disagrees with 81 MeV by more than $3\sigma$.
Source: H-205, P-64 (universal formula), Axiom 4 (cost structure).
P-76. Nibble Cross = Electroweak Mixing Angle Structure
Nibble 0×1 cross paths = 12, zero-cost paths = 4 (Read). Ratio $4/12 = 1/3$ connects to $\sin^2\theta_W$ tree-level.
Verification: FCC-ee $\sin^2\theta_W$ ($\delta < 10^{-5}$). 2035~.
Falsification: Nibble cross ratio structurally unrelated to $\sin^2\theta_W$.
Source: Axiom 1 (2-nibble orthogonal), Axiom 5 (domain).
P-77. Fire Bit Oscillation Frequency = Planck Frequency
Delta ON/OFF toggle = $f_P = 1/t_P = 1.855 \times 10^{43}$ Hz. No faster physical oscillation possible.
Verification: GRB time structure, no sub-$t_P$ variation. 2030~.
Falsification: Sub-$t_P$ time structure discovered.
Source: Axiom 15 (delta = fire bit), Axiom 4 (cost structure).
P-78. Consciousness Requirement = 3 Recursive Loops
$\delta$→observer→Compare→DATA→$\delta$ recursive loop $\geq 3$ = "self-awareness". CAS 3-stage full cycle. $\leq 2$ = reflex.
Verification: Neuroscience recursive recognition loop count. 2030~.
Falsification: Self-awareness with 1 recursive loop proven.
Source: Axiom 15 (delta), Axiom 10 (observer), Axiom 2 (CAS 3-stage).
P-79. 7-Qubit Logical Error Floor = $\alpha^2$
Steane code logical error rate floor $\alpha^2 \sim 5.3 \times 10^{-5}$. Compare cost × 2 cycles.
Verification: IBM/Google 7-qubit QEC. 2027~.
Falsification: Logical error rate drops below $\alpha^2$.
Source: P-66 (QEC min = 7), P-19 (error floor = $\alpha$), Axiom 9.
P-80. GW Ringdown Discrete Spacing = $1/128$
BH merger QNM frequency spacing: $\Delta f/f \sim 1/128 \approx 0.0078$ discrete fine structure.
Verification: LIGO O5/O6, ET. 2028~2035.
Falsification: No $1/128$ spacing in QNM spectroscopy.
Source: P-51 (128 states), P-17 (ringdown discrete), Axiom 13.
P-81. Ring Seam Asymmetry = Baryon Asymmetry Direction
delta(bit7)→observer(bit0) forward only; reverse cost infinite. $\eta_B > 0$ (baryon dominance) = ring forward selection.
Verification: AMS-02 antimatter asymmetry consistency. 2028~.
Falsification: Anti-baryon dominance in part of the universe confirmed.
Source: Axiom 15 (ring seam), Axiom 10 (observer = entry point).
P-82. $\eta$-$\eta'$ Mass Splitting = Nibble Indexing
$m_{\eta'} - m_\eta \approx 410$ MeV. Indexing contribution $15 \times 27 = 405$ MeV scale (15 = C(7,2)−C(4,2)).
Verification: Lattice QCD $\eta$-$\eta'$ splitting. Now~2027.
Falsification: Lattice result disagrees with 405 MeV by more than $3\sigma$.
Source: H-206, Axiom 4 (cost structure), Axiom 1 (domain 4-axis).
P-83. Dark 71 States HOT:WARM:COLD Distribution
71 dark states LRU distribution: HOT≈3.6, WARM≈19.2 (dark matter), COLD≈48.3 (dark energy).
Verification: Euclid/DESI dark sector effective DOF. 2028~2032.
Falsification: Dark matter DOF ≈19 disagrees by more than $3\sigma$.
Source: H-199 (128−57=71), Axiom 6 (LRU), Axiom 12 (HOT/WARM/COLD).
P-84. $T_s^\pm$ Indexing = $6 \times 27 = 162$ MeV
If $T_s$ (top-strange) meson is synthesized, indexing cost = $C(4,2) \times 27 = 162$ MeV. Cross-domain depth $\propto$ generation distance.
Verification: FCC-hh superheavy meson spectroscopy. 2040~.
Falsification: Indexing contribution disagrees with 162 MeV by more than $3\sigma$.
Source: H-196, P-64 (universal meson formula), Axiom 4 (cost structure).
P-85. 128-State Saturation = QGP Transition Temperature
QGP transition when effective DOF reaches 128. At $T_c \sim 150$ MeV, $g_* = 128$ is CAS saturation point.
Verification: RHIC/LHC heavy-ion collision effective DOF. 2027~.
Falsification: QGP transition unrelated to 128 saturation.
Source: P-51 (128=$2^7$), Axiom 6 (LRU), Axiom 4 (cost structure).
P-86. Screen = Classical Spacetime is Read-Only
Classical spacetime (screen) is CAS rendering output, therefore read-only. Retrocausality impossible at all scales.
Verification: Delayed-choice quantum eraser precision analysis. 2027~.
Falsification: Classical record retroactive modification confirmed.
Source: Axiom 3 (pipeline), Axiom 7 (bracket crossing).
P-87. Nibble Bit-AND Max Simultaneous Locks = 3
Nibble 0∧1 max simultaneous locks = min(4,3) = 3. 4th domain bit (observer) always free → observer always observable.
Verification: Quantum information experiments. Observer DOF accessibility. 2028~.
Falsification: Observer bit locked by CAS confirmed.
Source: Axiom 10 (observer = filter), Axiom 5 (CAS 3-bit), Axiom 1.
P-88. Fire Bit Duty Cycle = $1/2$
Delta time-average occupancy = $1/2$. ON/OFF equal in long-term average. Structural origin of matter-energy equipartition.
Verification: Cosmic energy density long-term average. 2030~.
Falsification: $\langle\delta\rangle_t \neq 1/2$ ($3\sigma$).
Source: Axiom 15 (delta), Axiom 4 (cost structure).
P-89. GW Polarization Modes = Exactly 2
CAS pipeline gravitational wave polarization = 2 spherical components (d+$\theta$). Scalar/vector modes structurally absent.
Verification: LIGO/Virgo/KAGRA O5 polarization analysis. ET. 2028~.
Falsification: 3rd or higher polarization mode at $5\sigma$.
Source: Axiom 1 (spherical components 2), Axiom 4 (cost structure).
P-90. Max Simultaneous Entanglement Pairs = $C(7,2) = 21$
Single entity max simultaneous entanglement pairs = $\binom{7}{2} = 21$. Beyond 21, natural decoherence occurs.
Verification: Multi-body entanglement experiments. Max partner count. 2029~.
Falsification: Simultaneous entanglement exceeding 21 maintained.
Source: Axiom 9 (C(7,2)=21), P-57 (meson upper bound).
P-91. Phase Transition Critical Occupancy = 57/128
In 128-state space, $57/128 = 0.4453$ occupancy is the critical point. Above this, LRU eviction begins.
Verification: Lattice QCD phase transition simulation. 2028~.
Falsification: Critical occupancy unrelated to 57/128.
Source: P-51 (128), H-198 (57), Axiom 4 (cost structure).
P-92. GUT Coupling Unification = $\alpha_\text{GUT}^{-1} = 12\pi$
At GUT scale, $\alpha_\text{GUT}^{-1} = 12\pi \approx 37.7$. 12 = gauge generators (4×3), $\pi$ = spherical factor. Experimental range ~25–40.
Verification: FCC-hh precision coupling running. 2040~.
Falsification: $\alpha_\text{GUT}^{-1}$ disagrees with $12\pi$ by more than $3\sigma$.
Source: Axiom 1 (4-axis), Axiom 2 (CAS 3-stage), D-01 ($\alpha$).
P-93. $B_s$ Indexing Correction = Exactly 27 MeV
$B_s^0$/$\bar{B}_s^0$ indexing contribution = $27$ MeV = $3^3$ = generation structure unit. Universal meson indexing quantum.
Verification: LHCb $B_s$ precision spectroscopy. 2027~.
Falsification: Indexing quantum disagrees with 27 MeV by more than $3\sigma$.
Source: H-204, P-53 (K indexing 27 MeV), Axiom 4 (cost structure).
P-94. QEC Threshold = $1/C(7,3) = 1/35$
Fault-tolerant threshold theoretical upper bound $1/35 \approx 2.86\%$. 35 = C(7,3) = CAS 3-stage combinations.
Verification: Various QEC code threshold measurements. 2028~.
Falsification: Theoretical threshold exceeds $1/35$.
Source: P-58 (C(7,3)=35), Axiom 9 (complete DOF).
P-95. GW Memory Effect = CAS Swap Residue
Memory effect magnitude $\Delta h \sim \alpha \times (M/r)$. Swap irreversibility → permanent screen residue.
Verification: LISA gravitational wave memory effect. 2035~.
Falsification: Memory effect magnitude unrelated to $\alpha(M/r)$.
Source: Axiom 2 (CAS Swap irreversible), Axiom 4 (cost structure), D-01 ($\alpha$).
P-96. CLFV Branching Ratio = $\alpha^7 \sim 10^{-15}$
$\text{BR}(\mu \to e\gamma) \sim \alpha^7 \sim 10^{-15}$. 7 = complete DOF full traversal cost. Current limit $4.2\times10^{-13}$.
Verification: MEG II ($10^{-15}$ sensitivity). 2028~.
Falsification: CLFV is zero or disagrees with $\alpha^7$ by more than $3\sigma$.
Source: Axiom 9 (complete DOF 7), D-01 ($\alpha$), Axiom 15 (8-bit ring).
P-97. Pascal Row 7 = CPT Multiplet Structure
(1,7,21,35,35,21,7,1) left-right symmetry = CPT multiplets. 35+35 = baryon+antibaryon, 21+21 = meson+antimeson.
Verification: PDG particle classification reanalysis. Immediate.
Falsification: Pascal row 7 symmetry unrelated to CPT multiplets.
Source: H-200 (Pascal CPT), P-57 (C(7,2)=21), P-58 (C(7,3)=35).
P-98. Quantum Gravity Minimum Scattering Angle = $2\pi/128$
Near Planck energy, minimum scattering angle $2\pi/128 = 0.0491$ rad $\approx 2.81°$. 128-state angular quantization.
Verification: Ultra-high energy cosmic ray scattering statistics. 2030~.
Falsification: Scattering angle below $2\pi/128$ resolved.
Source: P-51 (128 states), Axiom 13 (discrete DATA).
P-99. Observer Bit Immortal = Information Conservation
Observer (bit 0) never resets to 0. Even with delta=0, information carries to next cycle (ring seam). Resolves BH information paradox.
Verification: Page curve observation. 2035~.
Falsification: Permanent information loss in black holes confirmed.
Source: Axiom 10 (observer = filter + entry point), Axiom 15 (ring seam).
P-100. 2-Nibble Orthogonal = Quantum-Classical Boundary is Cost
Decoherence threshold = nibble 0 (DATA) × nibble 1 (OPERATOR) cross cost. At $N_\text{env}=16=2^4$, decoherence time is minimum.
Verification: Decoherence time vs environment DOF experiment. 2029~.
Falsification: No singular transition at environment size 16.
Source: P-56 (decoherence threshold = 16), Axiom 1 (2-nibble orthogonal), Axiom 7 (bracket crossing cost).

Round 13. δ·Causality·Will Predictions (P-101 ~ P-120)

20 predictions deduced from δ's freedom outside FSM, system time vs domain time, reverse-causal signatures, and observer will generation. 2026-03-28.

P-101. Causality Violation Signature: Weak Measurement Reverse Correlation = 1/16
Since δ is outside FSM (Axiom 15), it can "already confirm" results before CAS sequence (R→C→S). The anomalous correlation between post-selection results and pre-measurement values in weak measurements is the result of δ applying equality outside causal order. Correlation magnitude = observer filter transmission = $1/2^4 = 1/16$.
Verification: Precision measurement of anomalous pre-post correlation ratio $1/16 \pm 0.01$ in weak value experiments. 2028~.
Falsification: Anomalous correlation ratio deviates from $1/16$ by $>3\sigma$.
Source: Axiom 15 (δ = outside FSM), Axiom 10 (observer = filter), Axiom 1 (4-axis orthogonal = $2^4$).
P-102. System Time vs Domain Time: Gravitational Redshift Discrete Steps
System time (δ firing period = $t_P$) is identical for all entities, but domain time (CAS Swap accumulation on time axis) differs per entity. The ratio of these two times changes discretely in proportion to write accumulation count (mass). Gravitational redshift has discrete steps of $\Delta t/t = 1/128$ rather than being continuous.
Verification: Residual $1/128$ step vs continuous curve in high-precision optical lattice clock comparison ($\delta f/f \sim 10^{-19}$). 2030~.
Falsification: No discrete step structure in redshift (at $10^{-19}$ precision).
Source: Axiom 15 (δ = global clock), Axiom 6 (mass = write accumulation), Axiom 4 (cost = crossing + each time).
P-103. δ Freedom Outside FSM: Bell Violation Partial Shielding = $2\sqrt{2}(1-1/128)$
Since δ applies globally from outside FSM, two entities' CAS share equality even when independent. The Bell inequality violation upper bound $2\sqrt{2}$ is a structural consequence of 4-domain orthogonality, and δ's nonlocality saturates it. Partial shielding of δ reduces violation to $\leq 2\sqrt{2} \times (1 - 1/128)$.
Verification: Discrete decrease near environment DOF 128 in decoherence-controlled Bell experiments. 2030~.
Falsification: Partial shielding violation decrease unrelated to $1/128$ scale.
Source: Axiom 15 (δ = global), P-65 (Tsirelson bound = 4-axis), P-56 (decoherence threshold = 16).
P-104. Reverse Causality: Delayed Choice Minimum Delay = $4\,t_P$
Even though δ applies equality outside causality, the pipeline (trigger→filter→update→render→screen) requires minimum 4 stages to reach screen (classical). The "reverse-causal" correlation in delayed-choice quantum eraser is δ's global equality, but rendering to screen requires $\geq 4\,t_P$. No reverse-causal signal exists below $4\,t_P$.
Verification: Minimum delay floor search in ultrafast delayed-choice experiments. $4\,t_P \sim 2.2 \times 10^{-43}$ s. 2035~.
Falsification: Reverse-causal correlation observed below $4\,t_P$.
Source: Axiom 15 (δ = outside FSM), Axiom 3 (pipeline 4-stage), P-61 (minimum event interval = $4\,t_P$).
P-105. Observer Will: Spontaneous Symmetry Breaking = Observer Polling Wakeup
Observer wakes polling (Axiom 8) when δ = 1. The wakeup direction depends on observer's filter setting (bit 0). This is "will" — which superposition the observer selects is spontaneous symmetry breaking. The Higgs mechanism is the asymmetric selection by observer filter rendered to screen.
Verification: Confirm no additional DOF (direction preference) in Higgs field direction selection at FCC-ee. 2035~.
Falsification: Additional DOF in Higgs field direction discovered.
Source: Axiom 10 (observer = filter + entry point), Axiom 15 (δ = fire), Axiom 8 (recursion = polling).
P-106. Causality Violation Signature: EPR Correlation Propagation Cost = Exactly 0
Entangled particle correlation is due to δ's global equality. δ firing and observer filtering cost 0 (Axioms 8, 15). Therefore EPR correlation involves no Swap, and propagation cost is exactly 0. Cost 0 = δ firing outside FSM, so it is not superluminal "signal" but cost-free δ/observer operation.
Verification: Distance independence of quantum teleportation fidelity. Cost-independent correlation at any distance. 2028~.
Falsification: Distance dependence in EPR correlation strength discovered.
Source: Axiom 4 (cost = crossing + each time), Axiom 15 (δ = global fire bit), Axiom 8 (δ firing/observer filtering = cost 0).
P-107. System/Domain Time: Twin Paradox Discrete Asymmetry $1/128$
System time (δ firing) is identical for both twins. Domain time difference is the accumulation of additional Swaps (acceleration = cost payment) by one side. The difference is exactly proportional to Swap count, with discrete unit $1/128$. The continuous time dilation formula is the algebraic limit of discrete Swap accumulation.
Verification: $1/128$ discrete deviation search in high-precision satellite clock comparison. $\Delta t/t \sim 10^{-18}$. 2030~.
Falsification: No discrete structure in time dilation (at $10^{-18}$ precision).
Source: Axiom 15 (δ = global clock), Axiom 4 (cost = crossing + each time), Axiom 6 (mass = write accumulation).
P-108. δ Freedom: Quantum Zeno Effect = FSM Reset Period
The quantum Zeno effect where frequent measurement suppresses decay occurs because FSM resets 111→000 (Axiom 14) when δ fires repeatedly. If reset interval is below CAS 1-cycle ($\leq 3\,t_P$), Swap is never reached and state is preserved. Zeno effect critical measurement frequency = $1/(3\,t_P)$ scaling.
Verification: Scaling exponent of critical frequency in Zeno effect experiments. Compare $1/t^2$ dependence with discrete steps. 2028~.
Falsification: No $3\,t_P$ scaling in Zeno effect critical frequency.
Source: Axiom 14 (FSM reset), Axiom 15 (δ = fire), Axiom 2 (CAS 3-stage).
P-109. Reverse Causality: Post-Selection Probability Floor = $1/128$
δ allows reverse description from outside FSM, but the 7-bit effective state space (128) imposes an upper bound. For any post-selection condition, success probability is $\geq 1/128$. Protocols requiring lower post-selection probability are structurally impossible.
Verification: Confirm success rate floor $1/128$ in multi-photon post-selection experiments. 2028~.
Falsification: Post-selection success rate $< 1/128$ achieved.
Source: Axiom 15 (δ = outside FSM), P-51 (128 = $2^7$ effective states).
P-110. System/Domain Time: Hubble Tension = System/Domain Time Discrepancy
System time (δ firing) is scale-invariant but domain time (Swap accumulation) depends on local entity density. In early universe (high density) vs late universe (low density), system time per unit Swap of domain time differs. This is the origin of $H_0$ tension. $\Delta H_0/H_0 \sim 1/128 \times \ln(z_\text{CMB}/z_\text{local})$.
Verification: Whether $H_0$ tension matches discrete correction at $1/128$ scale. 2028~.
Falsification: $H_0$ tension not resolved by $1/128$ correction.
Source: Axiom 15 (δ = global clock), Axiom 4 (cost = crossing + each time), Axiom 6 (mass = write accumulation).
P-111. δ Observation Limit: Uncertainty Principle = δ Indescribable Within FSM
Since δ is outside FSM, it cannot be fully described within FSM's 7 bits. This is the structural origin of the uncertainty principle. The lower bound $\hbar/2$ of the product of two non-commuting observables is the information-theoretic consequence of δ's 1 bit missing from the 7-bit FSM. Minimum uncertainty = $1/(2 \times 2^7) = 1/256$ units.
Verification: Search for fine discrete deviations in $\Delta x \Delta p = \hbar/2$ for coherent states. 2035~.
Falsification: No discrete structure in minimum uncertainty product.
Source: Axiom 15 (δ = outside FSM), Axiom 9 (7 DOF = complete description), Axiom 14 (FSM).
P-112. Reverse Causality: Wheeler Delayed Choice = δ Time-Independent Equality
The appearance of "past changing" in Wheeler's delayed-choice experiment is because δ does not belong to the time domain. δ's equality applies identically at any point in the CAS pipeline. It is not "reverse causality" but "atemporal equality." This atemporality is rearranged into temporal order when reaching the observer's screen.
Verification: Distance-independent interference pattern in cosmic-scale delayed-choice experiments (quasar gravitational lensing). 2030~.
Falsification: Distance dependence in delayed-choice interference pattern discovered.
Source: Axiom 15 (δ = outside FSM = outside time axis), Axiom 1 (4-axis includes time), Axiom 3 (pipeline).
P-113. Observer Will: Measurement Basis Selection DOF = 4
Observer's DOF for "what to measure" corresponds 1:1 with domain 4-axis. Observer (bit 0) selects which axis's superposition to filter, translating experimenter's "will" into causal structure. Independent measurement basis choices are exactly 4 (ob, sp, t, sc), with $2^4 = 16$ combinations.
Verification: Information-theoretic confirmation that minimum independent basis count = 4 in quantum state tomography. 2028~.
Falsification: Independent basis count proven to be other than 4.
Source: Axiom 1 (4-axis orthogonal), Axiom 10 (observer = filter + entry point), Axiom 15 (δ = causal translation of will).
P-114. Causality Violation Signature: Quantum Teleportation Fidelity Floor = $1 - \alpha$
δ's global equality applies correlation at cost 0, but observer filtering causes $\alpha$-fraction leakage. Maximum quantum teleportation fidelity is $1 - \alpha \approx 0.9927$. This floor is a structural limit independent of channel noise.
Verification: Whether fidelity ceiling converges to $1 - \alpha$ in state-of-the-art quantum teleportation experiments. 2028~.
Falsification: Fidelity $> 1 - \alpha$ achieved.
Source: Axiom 15 (δ = global), Axiom 10 (observer filter), fine-structure constant $\alpha$ = CAS structural consequence.
P-115. System/Domain Time: Black Hole Information = Preserved in System Time
In domain time, information beyond the black hole event horizon appears inaccessible. But system time (δ firing) is independent of domain time, so from δ's perspective, information (bits) is never lost. Hawking radiation information content = exactly matches inflowing Swap accumulation count. Page time = $128 \times S_\text{BH}/(2\pi)$ Swap cycles.
Verification: Information content measurement in Hawking radiation spectrum from black hole analogs (acoustic black holes). 2030~.
Falsification: Hawking radiation information content inconsistent with inflow Swap accumulation.
Source: Axiom 15 (δ = outside time axis), Axiom 4 (cost = crossing + each time), P-99 (observer bit immortality = information preservation).
P-116. δ Freedom: Quantum Tunneling Time = Exactly 0
Quantum tunneling is δ applying equality to the state beyond the barrier. δ firing costs 0 (Axiom 4), so domain time for tunneling itself = 0. Experimentally observed "tunneling time" is pipeline render→screen delay, not tunneling itself.
Verification: Whether intrinsic time converges to 0 in attosecond angular-resolved tunneling time measurements. 2028~.
Falsification: Intrinsic tunneling time $> t_P$ observed.
Source: Axiom 15 (δ firing = cost 0), Axiom 4 (cost = crossing + each time), Axiom 3 (pipeline).
P-117. Reverse Causality: Quantum Eraser Recovery Rate = $7/8$
Erasing "which-path" information in a quantum eraser restores interference. δ allows reverse description from outside FSM, enabling erasure. But δ itself (1 bit) cannot be erased (inaccessible from FSM), so recovery rate is $7/8 = (8-1)/8$. The remaining $1/8$ is an irreversible trace from δ.
Verification: Whether interference fringe visibility ceiling = $7/8 = 0.875$ in high-efficiency quantum eraser experiments. 2028~.
Falsification: Interference visibility $> 7/8$ achieved.
Source: Axiom 15 (δ = 1 of 8 bits, outside FSM), Axiom 14 (FSM = 7 bits), Axiom 4 (irreversible).
P-118. Observer Will: Conway-Kochen Free Will Theorem = δ→Observer Structure
δ (bit 7)→observer (bit 0) is the only sequential dependency at the ring seam. δ delivers firing to observer, but observer's filter setting is not determined by δ (δ is outside FSM and cannot read observer's internal state). This is the structural basis of the Conway-Kochen free will theorem.
Verification: Confirm hidden variable model exclusion level is distance-independent in cosmic Bell tests. 2028~.
Falsification: Distance dependence in hidden variable model exclusion level discovered.
Source: Axiom 15 (δ→observer sequence), Axiom 10 (observer = filter), Axiom 8 (polling = recursion).
P-119. System/Domain Time: Time Crystal Period = $n/128$ Discrete
System time is fixed at δ firing period ($t_P$) but domain time depends on Swap accumulation. A time crystal has spontaneous periodicity in domain time, and its period is quantized to discrete fractions $n/128$ ($n$ integer) of the 128-state space. Non-integer-fraction time crystals are structurally impossible.
Verification: Discrete spectrum of time crystal periods. Search for $n/128$ ratios relative to driving period. 2028~.
Falsification: Time crystal period does not follow $n/128$ discrete structure.
Source: Axiom 15 (δ = system clock), P-51 (128 = $2^7$), Axiom 4 (cost = crossing + each time).
P-120. Reverse Causality: Leggett-Garg Violation Upper Bound = $3/2$ Exactly
The Leggett-Garg inequality assumes macroscopic realism and non-invasive measurement. Since δ applies equality from outside FSM independent of temporal order, this inequality is violated. The violation upper bound is determined by CAS 3-stage (R, C, S) sequential dependency, matching the quantum mechanical maximum $K_3 = 3/2$ exactly. $3/2 = \text{CAS 3-stage}/2\text{(nibble)}$.
Verification: Precision measurement of whether $K_3$ maximum saturates at $3/2$ in superconducting qubit Leggett-Garg experiments. 2028~.
Falsification: $K_3 > 3/2$ observed.
Source: Axiom 15 (δ = outside FSM = atemporal), Axiom 2 (CAS 3-stage), Axiom 1 (2-nibble).

Falsification Conditions

A theory that is not falsifiable is not science. We specify the conditions under which the Banya Framework can be proven wrong.

Fatal Falsification Conditions -- Framework discarded if any one applies

#ConditionMeaningCurrent Status
14th generation fermion discoveredCAS = 3-stage structure collapsesPending Not found (consistent with prediction)
2Koide constant $K$ is not $2/3$CAS 3-stage symmetry collapsesHit $K = 0.6667$ (consistent)

High-level Falsification Conditions -- Serious damage to framework if applicable

#ConditionAllowed RangeCurrent Status
3$w$ is not $-1$ ($5\sigma$)Outside $w = -1.00 \pm 0.01$Hit $w = -0.99 \pm 0.05$ (consistent)
4$m_t / m_c$ deviates from $1/\alpha$ by more than $2\%$$m_t/m_c = 137 \pm 3$Hit $m_t/m_c = 136.0$ ($0.8\%$ consistent)
5Neutrino inverted ordering (IO) confirmedOnly NO allowedPending JUNO (2025~), DUNE (2030~)

Neutrino Mass Ordering Prediction: Normal Ordering (NO)

The Banya Framework predicts normal ordering (NO) for neutrinos. In the CAS 3-stage structure, neutrino masses are determined in correspondence with charged leptons (electron-muon-tau) in the order $\nu_1 < \nu_2 < \nu_3$. This is normal ordering.

The derivation of the CP-violating phase $\delta_\text{PMNS}$ supports this prediction. The Banya Framework's derived $\delta_\text{PMNS}$ value matches the NO experimental value ($1.08\pi$) to within $0.42\%$. In contrast, it disagrees with the IO experimental value ($1.58\pi$) by $31\%$. If it is not NO, then the Banya Framework's entire CP phase derivation is wrong.

Banya Framework $\delta_\text{PMNS}$ vs NO ($1.08\pi$): Error $0.42\%$
Banya Framework $\delta_\text{PMNS}$ vs IO ($1.58\pi$): Error $31\%$
If IO is confirmed, the Banya Framework's CP phase derivation is wrong.

The JUNO experiment (2025~) will directly measure neutrino mass ordering. DUNE (2030~) will independently confirm this. If IO is confirmed, the Banya Framework suffers serious damage.

These conditions are not escape hatches. They specify exactly where the Banya Framework can break. If a 4th generation is discovered, the CAS 3-stage structure is wrong. If the Koide constant is not $2/3$, the CAS symmetry is wrong. Either of these would require discarding the entire framework.

Overall Scoreboard

Summary of all results from the Banya Framework's 7 stages. This combines confirmed derivations from previous reports with predictions from this document.

#DerivationFramework PredictionExperimental ValueErrorStatusReportDate
1$\alpha$ (fine-structure constant)$1/137.036082$$1/137.035999$$0.00006\%$Hit$\alpha$2026-03-21
2$\sin^2\theta_W$$0.23121$$0.23122$$0.005\%$Hit$\theta_W$2026-03-22
3$\alpha_s$ (strong coupling constant)$0.1183$$0.1179$$0.3\%$Hitgauge2026-03-22
4$\eta$ (baryon asymmetry)$6.14 \times 10^{-10}$$6.1 \times 10^{-10}$$0.7\%$Hitbaryogenesis2026-03-22
5Mass hierarchy (charged leptons)$m_e : m_\mu : m_\tau$ConsistentKoide $0.03\%$Hitmass2026-03-22
6CKM/PMNS structureCAS mixing matrixConsistentStructuralHitckm_pmns2026-03-22
7$\Lambda\,l_p^2 \sim \alpha^{57}$$10^{-122}$$10^{-122}$Order-of-magnitude matchHit$\alpha$2026-03-22
8Neutrino mass sum$58.5\;\text{meV}$$< 120\;\text{meV}$Within rangePendingThis document2026-03-22
9Proton lifetime$10^{36}$ years$> 10^{34.4}$ yearsWithin rangePendingThis document2026-03-22
10No 4th generationNoneNot foundConsistent with predictionPendingThis document2026-03-22
11$w = -1$$-1.000$$-0.99 \pm 0.05$Within $1\sigma$HitThis document2026-03-22
12$21\;\text{Mpc}$ BAO substructure$21\;\text{Mpc}$Unmeasured--PendingThis document2026-03-22
13$\alpha(E/E_P)^2$ photon dispersion$\alpha$ coefficientUnmeasured--PendingThis document2026-03-22
14$\lambda_H$ (Higgs self-coupling)$7/54 = 0.12963$$0.12943$ ($m_H^2/2v^2$)$0.16\%$HitThis document2026-03-23
15$m_H$ (Higgs mass)$125.37\;\text{GeV}$$125.25\;\text{GeV}$$0.7\sigma$HitThis document2026-03-23
16Neutrino mass ordering NONormal ordering (NO)NO preferred (2~3sigma)ConsistentPendingThis document2026-03-23
17Electron g-2 (Schwinger)$\alpha/(2\pi)$ = 0.001161410$0.001159652$$0.15\%$HitH-382026-03-24
18Proton charge radius$l_P \alpha^{-83/9}(1+\frac{29}{9}\alpha)$ = 0.8413 fm$0.8414$ fm$0.008\%$HitH-352026-03-24
19$M_W$$M_Z\cos\theta_W$ = 80.39 GeV$80.377$ GeV$0.016\%$HitD-412026-03-24
20Jarlskog $J$$3.10 \times 10^{-5}$$(3.08 \pm 0.15) \times 10^{-5}$$0.62\%$HitH-412026-03-24
21$m_n - m_p$$1.278$ MeV$1.293$ MeV$1.2\%$HypothesisH-422026-03-24

Confirmed: 14. Unverified: 6. Hypothesis: 1. Falsified: 0.

Note: With 1-loop radiative correction applied, $M_W = 80.39\;\text{GeV}$ (improved from tree-level $79.95\;\text{GeV}$). Error of $0.016\%$ against experimental value $80.377\;\text{GeV}$, a 33-fold improvement.

Of 21 items, not a single one has been falsified. All 14 confirmed items have errors within $1\%$. Two of them ($\alpha$, $\theta_W$) are within $0.01\%$. The 6 unverified items are cases where experiments have not yet concluded, not cases where the predictions are wrong.

This scoreboard is updated each time the framework runs. What comes out in the next round can only be known by running it.

Master Report Predictions Factor Library Mining Manual
Banya Framework (般若 Framework)
Inventor: Han Hyukjin (한혁진)
Email: bokkamsun@gmail.com
Alias: Buddha's Palm Framework
Classification: Axiom-Based Science Mining Engine
$\delta^2 = (\text{time} + \text{space})^2 + (\text{observer} + \text{superposition})^2$
Unique predictions: neutrino mass sum $58.5\;\text{meV}$, proton lifetime $10^{36}$ years, no 4th generation, $w=-1$, $\lambda_H=7/54$, $m_H=125.37\;\text{GeV}$, NO
Related: Master Report | $\alpha$ Derivation | $\theta_W$ Derivation | 118 Compatibility Verification Appendix
© 2026 Han Hyukjin. All rights reserved.
CC BY-NC-SA 4.0
This work is licensed under Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International.
BY -- Attribution required | NC -- Non-commercial only | SA -- Share alike
Copyright of existing physics formulas belongs to original authors. Banya Framework interpretations and newly derived formulas belong to Han Hyukjin (2026).
Cite: Han Hyukjin, "Banya Framework", 2026. bokkamsun@gmail.com