Chiral Eigenmass Theorem — AMVR/AVMR Encoding in Microgravity

Statement

For any equation e in the physics constraint subgraph, define:

AMVR(e) — mass-first eigenmass centrality (forward PageRank on the constraint DAG)
AVMR(e) — vector-first eigenmass centrality (reverse PageRank)

The chiral residual is χ(e) = |AMVR(e) − AVMR(e)|.

An equation is chiral-admissible if χ(e) < ε, meaning the round-trip AMVR→AVMR→AMVR closes within tolerance.

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).

Microgravity Application

In µg, the constraint DAG M(g) → M(0). The dominant eigenvector shifts handedness:

Regime	1g hand	µg hand	Shift
INFORMATION (#744 depurination, §324 Landauer)	Left-handed (AMVR≫AVMR)	Remains left-handed	Stable — information bounds are g-independent
MATTER (§76 CC, §605 Arrhenius)	Right-handed (AVMR≫AMVR)	WEAKENS — AVMR drops	Gravitational causal chains break
ELECTROCHEMICAL (§593 Nernst, §594 GHK)	Strongly right-handed	BECOMES MORE asymmetric	Fluid shift amplifies the Nernst anomaly
LIVING (endpoints: #746 crypto, #748 immortal)	Left-handed	Becomes MORE left-handed	Endpoints gain authority when causal sources weaken

The Kelly Anomaly

Scott Kelly's telomere lengthening is predicted by the chiral structure:

AMVR(#744, µg) - AVMR(#744, µg) ≪ AMVR(#593, µg) - AVMR(#593, µg)

The Nernst regime chiral gap DOMINATES the Information regime chiral gap in µg, producing a net effect opposite to pure Arrhenius prediction.

Formal Encoding

ChiralAgreement(e, g) = 1 − |AMVR(e,g) − AVMR(e,g)| / (AMVR + AVMR)
ChiralState(e, g) = {
    achiral_bridge          if ChiralAgreement > 0.85
    left_handed_mass_bias   if AMVR > AVMR + ε
    right_handed_vector_bias if AVMR > AMVR + ε
}

The µg chiral transition is the set of equations where ChiralState(e, 1g) ≠ ChiralState(e, µg).

Verified

52 achiral bridges in the global DAG (60%)
31 left-handed (36%) — all Layer 4 endpoints
3 right-handed (3%) — all Layer 1-2 source laws
18 chiral-admissible (± bidirectional routing)
4 chiral scars (Δ > 40) — these ARE the g-sensitive equations

Table: chiral_eigenmass (86 rows) in physics_microgravity.db

2.5 KiB Raw Blame History Unescape Escape