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Structural Selection
Theorem R.1As stated in the manuscript — not independently proof-checked beyond the v2 audit

Theorem R.1Emergent Causality

Formal statement

In any dissipative system that supports horizon-robust inertial organization, there exists a finite, observer-independent maximum speed of coherent influence ceffc_{\mathrm{eff}}. No influence propagating faster than ceffc_{\mathrm{eff}} can retain phase coherence or dynamical relevance.

This theorem supplies the causal backbone traditionally attributed to spacetime structure, but derives it from dynamics alone.

Source

Appendix R: Emergent Causality and the Existence of a Maximum Signal SpeedGravity as a Temporally Closed Dynamical Phase

Gravity as a Temporally Closed Dynamical Phase/32_Appendix R — Emergent Causality and Finite Signal Speed.tex

Revision history

Unchanged from the original manuscript — not among the 12 patches applied in v2. See Open Review for logged gaps that may affect this statement.

Read this result in context on its source chapter page, or submit a criticism if you believe this statement, as given, is incomplete or incorrect.