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

Corollary V.1 — Frame invariance of the cone

Formal statement

If T∈Gadm\mathcal{T}\in\mathcal{G}_{\mathrm{adm}} and T\mathcal{T} preserves ceffc_{\mathrm{eff}}, then T\mathcal{T} maps cone boundaries to cone boundaries:

d=ceffΔt⟹d′=ceffΔt′.d = c_{\mathrm{eff}}\Delta t \quad\Longrightarrow\quad d' = c_{\mathrm{eff}}\Delta t'.

Thus, causal structure is not geometric input; it is a dynamical invariant of the admissible description class.

Source

Appendix V: The Emergent Causal Cone — Causality Without Spacetime Geometry — Gravity as a Temporally Closed Dynamical Phase

Gravity as a Temporally Closed Dynamical Phase/35_Appendix V — The Emergent Causal Cone.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.