Entanglement-Algebraic Spacetime Ontological Completion: Physics Without Representational Primitives

This paper is archived as a speculative research work.

The preceding manuscripts demonstrated that classical mechanics, general relativity, and quantum
eld theory can each be reconstructed as stable interface-level representations of a single scalar eld,
without assuming spacetime, dynamics, particles, or energy as fundamental primitives. This nal
paper completes that program by addressing the question such reconstructions leave unresolved:
why any physical representation is possible at all. We show that representational success alone is
insucient for ontological adequacy, and we identify the minimal non-representational constraints
that underwrite all physical descriptions. These constraintsalgebraic possibility, admissibility,
persistence, and causalitydo not constitute additional physical layers or entities. Rather, they
specify the conditions under which manifestation and representation can occur. Physics is thereby
reinterpreted as the study of interface-stable compressions of admissibility, and its major theoretical
frameworks are shown to arise as xed points of representational necessity rather than as discoveries
of fundamental constituents. The resulting framework explains both the eectiveness and the limits
of physical theory while preserving the empirical discipline of physics. Ontology is not extended
beyond physics; it begins precisely where representation necessarily fails.