Published February 10, 2026 | Version v1
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Empirical Mass Quantization in the Standard Model: Evidence for m = mₑ × 137^k with Rational Exponents

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Description

KEY SECTIONS:
1. INTRODUCTION
∙ Context in Standard Model
∙ Review of Koide formula, geometric progressions
∙ States the discovery clearly
2. EMPIRICAL RESULTS
∙ Full data table (9 particles)
∙ Statistical analysis (P < 10⁻³²)
∙ Selection bias treatment
∙ Uniqueness of base 137
3. BINARY ENCODING
∙ 137 = 2⁷ + 2³ + 2⁰
∙ Pattern in p+q and p-q
∙ Table showing connections
∙ NOT over-claiming
4. PHYSICAL INTERPRETATION
∙ RG fixed points (proposed)
∙ Discrete thresholds (speculative)
∙ Hierarchical structure
∙ Extends to Planck scale
5. PREDICTIONS
∙ Concrete, testable
∙ Experimentally accessible
∙ Conservative estimates
6. DISCUSSION
∙ Relates to existing work
∙ Admits limitations
∙ Lists challenges
∙ Philosophical implications (brief)
7. CONCLUSION
∙ Summarizes discovery
∙ States significance
∙ Opens research directions

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