Relational Holoscription and Delayed Source-Record Authentication: Conditional Spinor Structure from Elementary History Domains

Abstract

Holoscription is developed as a relational, phase-capable pre-record layer in which observable phase information belongs to comparisons of compatible histories rather than to absolute open paths. The paper separates scalar U(1) holonomy from non-Abelian spin structure and states the two-involution reduction with its correct mathematical status as Jordan’s lemma. Under explicit assumptions—a finite complex carrier, reversible binary present/history queries, incompatibility, and irreducibility—one elementary sector is two-dimensional and generates su(2), yielding the spinor half-angle. With an additional antisymmetric shared-source premise, the standard singlet follows. The main operational contribution is a finite architecture for delayed authentication of distributed source records through causal preparation, complementary retained histories, calibrated channels, authenticated delay clocks, and later causal pooling. Analytic and numerical stress tests establish no-go results for approximate dimension certification without a quantitative commutant gap, one-context source authentication, unknown-channel source reconstruction, single-snapshot source/retention separation, and universal relational-memory protection. Version 1.1 reclassifies the two-involution result as an operational specialization of Jordan’s lemma and adds finite-tolerance elementarity tests, record-count-dependent channel-conditioning audits, clock-offset tests, the differential-memory limitation, and an authenticated boundary-record interface for later Local Holography work. This is a conditional reconstruction and operational-authentication study. It does not derive quantum mechanics or holography, complete a microscopic detector model, or predict deviations from standard quantum theory.