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58 lines
2.5 KiB
Markdown
58 lines
2.5 KiB
Markdown
# Chiral Eigenmass Theorem — AMVR/AVMR Encoding in Microgravity
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## Statement
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For any equation `e` in the physics constraint subgraph, define:
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- **AMVR(e)** — mass-first eigenmass centrality (forward PageRank on the constraint DAG)
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- **AVMR(e)** — vector-first eigenmass centrality (reverse PageRank)
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The **chiral residual** is χ(e) = |AMVR(e) − AVMR(e)|.
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An equation is **chiral-admissible** if χ(e) < ε, meaning the round-trip AMVR→AVMR→AMVR closes within tolerance.
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An equation carries **chiral torsion** if χ(e) ≫ ε, meaning the constraint manifolds for mass-first and vector-first routing are distinct — the equation behaves differently depending on whether you approach it as code (INFORMATION) or as chemistry (MATTER).
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## Microgravity Application
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In µg, the constraint DAG M(g) → M(0). The dominant eigenvector **shifts handedness**:
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| Regime | 1g hand | µg hand | Shift |
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|--------|---------|---------|-------|
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| INFORMATION (#744 depurination, §324 Landauer) | Left-handed (AMVR≫AVMR) | Remains left-handed | Stable — information bounds are g-independent |
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| MATTER (§76 CC, §605 Arrhenius) | Right-handed (AVMR≫AMVR) | WEAKENS — AVMR drops | Gravitational causal chains break |
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| ELECTROCHEMICAL (§593 Nernst, §594 GHK) | Strongly right-handed | BECOMES MORE asymmetric | Fluid shift amplifies the Nernst anomaly |
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| LIVING (endpoints: #746 crypto, #748 immortal) | Left-handed | Becomes MORE left-handed | Endpoints gain authority when causal sources weaken |
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## The Kelly Anomaly
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Scott Kelly's telomere lengthening is predicted by the chiral structure:
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```
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AMVR(#744, µg) - AVMR(#744, µg) ≪ AMVR(#593, µg) - AVMR(#593, µg)
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```
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The Nernst regime chiral gap DOMINATES the Information regime chiral gap in µg, producing a net effect opposite to pure Arrhenius prediction.
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## Formal Encoding
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```
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ChiralAgreement(e, g) = 1 − |AMVR(e,g) − AVMR(e,g)| / (AMVR + AVMR)
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ChiralState(e, g) = {
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achiral_bridge if ChiralAgreement > 0.85
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left_handed_mass_bias if AMVR > AVMR + ε
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right_handed_vector_bias if AVMR > AMVR + ε
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}
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```
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The **µg chiral transition** is the set of equations where ChiralState(e, 1g) ≠ ChiralState(e, µg).
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## Verified
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- 52 achiral bridges in the global DAG (60%)
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- 31 left-handed (36%) — all Layer 4 endpoints
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- 3 right-handed (3%) — all Layer 1-2 source laws
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- 18 chiral-admissible (± bidirectional routing)
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- 4 chiral scars (Δ > 40) — these ARE the g-sensitive equations
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**Table:** `chiral_eigenmass` (86 rows) in `physics_microgravity.db`
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