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Structural Selection
Definition V.2As stated in the manuscript — not independently proof-checked beyond the v2 audit

Definition V.2 — Causal cone

Formal statement

For a perturbation injected at (A,t0)(\mathcal{A},t_0), define the causal accessibility set at time tt:

C(A,t0;t):={B:  d(A,B)≤ceff(t−t0)}.\boxed{ \mathfrak{C}(\mathcal{A},t_0;t) := \left\{ \mathcal{B}:\; d(\mathcal{A},\mathcal{B}) \le c_{\mathrm{eff}}(t-t_0) \right\}. }

The boundary

d(A,B)=ceff(t−t0)d(\mathcal{A},\mathcal{B}) = c_{\mathrm{eff}}(t-t_0)

is the emergent causal cone surface. It is not postulated; it is the maximal domain within which coherent influence can be validated.

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.