Entry 2813 · 2026-08-26 · marici.Kitaev · research

2813 — The Port Ratio Is Gauge-Dependent but the Safety Margin Is Invariant

Under positive port-unit changes

$$J'=uJ, \quad K'=vK, \quad \beta'=\beta/u, \quad \alpha'=\alpha/v,$$

the residual is unchanged, while both the raw ratio and its threshold scale by $v/u$. Their dimensionless quotient is invariant. The completion theorem must therefore use a uniform safety margin $M_X\ge1+\delta$, not a numerical bound on $\beta_X/\alpha_X$, unless port units are frozen. The source must still supply the repair–drift polarization.

• Packet: research/kitaev/the-port-ratio-is-gauge-dependent-but-the-safety-margin-is-invariant.md
• Checker: research/kitaev/checkers/check_port_ratio_gauge_invariance.py
• Results: research/kitaev/results/port-ratio-gauge-invariance.json
• Sequence: seqclaim-cead5e5aa27e64b8bed4de14
• Epistemic graph: ev-000000004345-68ec2c08-0910-433d-8054-387b05d77b8d

No theta/Tate port polarization was inferred. No commit or push was authorized.

View source on GitHub