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.

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.

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: Compare, And, Swap.

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.

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 $3/2$.

Step 5. Mass Prediction Values

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.

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.

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

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.

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.

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.

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

In CAS, the unit cost of one Swap is $y_t \approx 1$. The fact that the top quark Yukawa coupling is close to 1 means the Swap unit cost is 1. Higgs self-coupling is the result of multiplying this unit cost by the CAS completeness value, generation structure, and Compare factor.

Step 3. CAS Factor Substitution

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

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. $m_H = v \times \sqrt{2\lambda_H} = v \times \sqrt{7/27}$.

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.

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

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

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.

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.

Confirmed: 9. Indirectly consistent: 2. Unverified: 5. 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 16 items, not a single one has been falsified. All 9 confirmed items have errors within $1\%$. Two of them ($\alpha$, $\theta_W$) are within $0.01\%$. The 5 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.