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Structural Selection
Theorem N.1In a file corrected during the v2 audit

Theorem N.1 — Finite Stability Theorem — Upper Bound

Formal statement

Within the pre-physical selection framework of this work, the set of dynamically stable, history-robust universes is finite. Under empirically validated inertial-gravity orbit scans (repeatability in seeds, horizon extension, and phase persistence), the number of distinct stable universes satisfies:

Nstable≤22\boxed{ N_{\mathrm{stable}} \le 22 }

(corrected from an earlier “≤7\le7”: the packing-bound arithmetic, evaluated on the actual underlying scan data, gives ⌊γc/Δγmin⁡⌋=⌊0.022/0.001⌋=22\lfloor\gamma_c/\Delta\gamma_{\min}\rfloor=\lfloor0.022/0.001\rfloor=22, not 7 – see § N.4–N.6 for the corrected constants and derivation. The number 7 is a different, resolution-limited quantity: the raw count of isolated stable windows observed at the current scan resolution, not the packing bound itself.)

Equivalently:

There exists no more than twenty-two dynamically stable universes, at current scan resolution.\boxed{ \text{There exists no more than twenty-two dynamically stable universes, at current scan resolution.} }

Source

Appendix N: The Finite Cardinality of Stable Universes — Gravity as a Temporally Closed Dynamical Phase

Gravity as a Temporally Closed Dynamical Phase/29_Appendix N — Finite Number of Stable Universes.tex

Revision history

This source file received at least one correction during the v2 audit — see the changelog for the exact change; not every statement in the file was necessarily the one corrected.

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