The Canonical Foundations of Registration Theory Definitions, Axioms, Constitutive Principles, and Research Commitments Version 1.0

Registration Theory takes persistent physical registration as the primitive physical organization from which stable objects, operational time, spatial relation, information, and effective geometry may emerge. It does not begin with particles moving through a passive, pre-existing spacetime. It begins with evolving organization whose local registrations generate relational extension, support persistent structure, transfer transformational capacity, and leave retained consequences that constrain later evolution.

This paper establishes the canonical foundation of the research program. It separates definitions, axioms, and constitutive principles from controlled model results, conjectures, interpretations, historical terminology, and open recovery problems. Earlier formulations—including the Scalar Clock, the Scalar–Tensor–Observable hierarchy, awareness tensors, quaternionic selector geometry, concentration–dispersion balance, and emergent-metric ansätze—are retained as historical or model-specific developments rather than automatically promoted into the mature ontology.

The canonical framework identifies registration and Trinity as two descriptions of the same primitive organization. Space-facing, time-facing, and energy-facing allocations are mutually related aspects of that organization. Maximally space-facing propagation defines a universal local limit; persistent objects are stabilized registration records; the registration ledger is persistent physical organization rather than abstract information; and effective geometry must be reconstructed from relational registration structure rather than assumed at the primitive level.

Companion models provide controlled results involving ledger-conserving dynamics, interaction-triggered choice with retained records, computable record fields, a global Lyapunov theorem for a reduced geometry flow, conditional tensor-to-metric constructions, induced Einstein dynamics, and a protected general-relativistic branch. Their assumptions, theorem status, limitations, and negative results are stated explicitly.

The paper does not claim a completed derivation of quantum mechanics, general relativity from primitive registration, gauge structure, particle physics, or the Standard Model. It establishes the conceptual constitution, terminology, evidential standards, and recovery program from which those derivations must be attempted.

Version 1.0 is the founding canonical edition. Its amendment protocol becomes operative upon publication.