What does this research mean for the field?

The KSAU framework v7.0 successfully derives Standard Model particle masses and mixing parameters from hyperbolic 3-manifold invariants with high statistical accuracy. Novelty: ClaimNovelty.NOVEL_FINDING. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

The aim is to derive particle masses and mixing parameters using hyperbolic 3-manifold invariants through a systematic framework.

March 3, 2026Open Access

Topological Mass Formula from Hyperbolic 3-Manifold Invariants: A Data-Driven Framework with 69 Hypothesis Tests

Key Points

The aim is to derive particle masses and mixing parameters using hyperbolic 3-manifold invariants through a systematic framework.
Introduced KSAU framework v7.0 for data-driven analysis.
Conducted 69 hypothesis tests over 26 AI Research Development Protocol cycles.
Pre-registered hypothesis criteria before tests.
Utilized permutation tests for statistical evaluation.
Achieved a fermion mass formula with R²=0.9998.
12-particle topology assignment showed a p-value of 0.0 and FPR of 0.0.
Calculated the gravitational constant G with an error of 0.0000263%.
CKM matrix analysis resulted in an R² of 0.9980.
Universal constant κ derived with 0% error from 24-cell resonance.

Abstract

This work presents the KSAU (Knot/String/Anyon Unified) framework v7. 0, a systematic, data-driven approach to deriving Standard Model particle masses and mixing parameters from hyperbolic 3-manifold invariants. Building on v5. 0 (zenodo. 18521244), this release documents the complete results of 69 hypothesis tests conducted across 26 AIRDP (AI Research Development Protocol) cycles, including 24 documented rejections that delineate the statistical boundaries of the theory. Key results: Fermion mass formula: R²=0. 9998 (LOO-CV validated) 12-particle topology assignment: p=0. 0, FPR=0. 0 (permutation test) Gravitational constant G: error=0. 0000263% (zero free parameters) CKM matrix: R²=0. 9980 Universal constant κ=π/24 derived from 24-cell resonance (error=0%) All hypothesis criteria were pre-registered before each cycle. Negative results are fully documented in NEGATIVERESULTSINDEX. md. Repository: https: //github. com/yui-synth-lab/KSAUProject (v7. 0)

Topological Mass Formula from Hyperbolic 3-Manifold Invariants: A Data-Driven Framework with 69 Hypothesis Tests

Key Points

Abstract

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