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

Theorem M.1 — History Sensitivity of Gravitational Existence

Formal statement

There exist states Ψ0\Psi_0 and histories HA,HB\mathcal{H}_A,\mathcal{H}_B such that

ΨA(t0)=ΨB(t0)=Ψ0,\Psi_A(t_0) = \Psi_B(t_0) = \Psi_0,

but

C[ΨA]=1,C[ΨB]=0.\mathcal{C}[\Psi_A] = 1, \qquad \mathcal{C}[\Psi_B] = 0.

Source

Appendix M: Temporal Closure versus Instantaneous Force Laws — Gravity as a Temporally Closed Dynamical Phase

Gravity as a Temporally Closed Dynamical Phase/28_Appendix M — Temporal Closure versus Instantaneous Force Laws.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.