Definition R.1As stated in the manuscript — not independently proof-checked beyond the v2 audit
Definition R.1 — Coherent Influence
Formal statement
A signal is said to propagate from region to region if a localized perturbation introduced in produces a reproducible, phase-coherent response in that survives the full horizon-extension and repeatability tests defining robustness.
This definition is purely dynamical and makes no reference to spacetime structure.
Source
Appendix R: Emergent Causality and the Existence of a Maximum Signal Speed — Gravity 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.