Spacetime Activation Hypothesis II: Conditions for Relational Records, Clock Scales, and Inheritance(時空起動仮説Ⅱ――関係記録・時計尺度・継承の成立条件)

Abstract

This integrated preprint examines the distinct conditions for preserving information, reading relational records, calibrating clock scales, and inheriting records through changes of form. It brings together Parts I–III and Supplement A of Spacetime Activation Hypothesis II. A designed finite quantum model demonstrates the compatibility of order recording, local unreadability, rereading, finite inheritance, static interactions, and clock-conditioned histories. Within an adopted local Gross–Pitaevskii action, the paper derives conditional relations involving vortex delay, healing length, circulation, quartic dispersion, and relative conformal scales under a common-mass assumption, while identifying observational families that cannot uniquely separate material properties from scale. A lowest-order Kaluza–Klein reduction gives the conditional radius-response relation α_EM/α_* = exp(−3y). For the specified quartic dispersion and subtraction, the unexpanded Casimir energy has no stable minimum; the earlier two-term radion-clock stabilization is therefore not retained. Under the stated regularity and constitutive assumptions, a pressure exponent of two is equivalent to a positive constant stiffness ratio. The variational connection from three-dimensional localized-structure energy to the fiber radius remains unresolved. Finite relay and re-encoding tests retain both partial improvement and deterioration over multiple stages. The work distinguishes designed constructions, conditional consequences, exclusions of specified routes, and unresolved questions. It does not derive time from a pre-spacetime description, three-dimensionality, Lorentzian signature, a universal light cone, the cosmological arrow of time, or a single outcome. No new physical simulations are added in this integration. 本稿は時空起動仮説Ⅱの第一部・第二部・第三部と補遺Aを統合し、情報の保存、関係記録の読出し、時計尺度の較正、形を変える継承を、それぞれ異なる成立条件として整理する。有限量子模型による設計構成と、採用した局所GP作用・最低次KK還元からの条件付き帰結を区別し、尺度識別の縮退や指定経路の不成立も明示する。指定された非展開Casimir計算では安定極小がなく、旧二項近似に基づくラディオン時計は採用しない。圧力指数2と一定剛性比の条件付き関係を残す一方、三次元の器からファイバー半径への変分写像は未解決である。多段継承での改善と悪化をともに保存し、時間そのものの起源や普遍光錐等を導出したとは主張しない。 Package: English and Japanese integrated manuscripts (PDF and Markdown), selected original source manuscripts, editorial verification records, and a source-mapping guide. Version v1.2, 15 October 2026. The source archives are selected supporting material, not a complete reproducibility package.