
Abstract This record defines the canonical scope and component structure of Entanglement Compression Theory (ECT). ECT is presented as a closed theoretical framework in which sustained oscillation under constraint is treated as the primitive physical substrate. A single underlying wave field evolves under a real, local compression functional, from which probability emerges as deterministic energy partitioning across resolvable channels. Compression-induced geometric response is encoded by a compression tensor, yielding effective curvature behavior consistent with Einstein-type field equations in the appropriate limits. This document introduces no new derivations or claims. Its sole purpose is to declare the canonical papers that jointly constitute ECT and to provide stable citation guidance for the theory as a whole. 1. Purpose This record serves as a declarative anchor for Entanglement Compression Theory (ECT). It defines the theory’s identity, scope boundary, and canonical component set. All technical derivations, proofs, and physical claims reside exclusively in the referenced papers listed in Section 2. This record is not an evaluable research paper and is not intended for review, audit, or scoring. 2. Framework Overview Entanglement Compression Theory (ECT) is a first-principles framework that models physical reality as a single dynamical substrate whose persistent structure arises from oscillatory motion under constraint. Oscillation is treated as the minimal dynamical condition for sustained structure in a closed system, while compression provides the mechanism by which stable modes are selected and maintained. Within this framework, compression is not introduced as an additional field but as a structural operator acting on amplitude distributions. This operator regulates the redistribution of conserved quantities across resolvable channels, preventing complete phase washout and allowing long-lived structure to emerge. Stable configurations correspond to persistent oscillatory modes supported by the balance between dispersive dynamics and compression. Probability is treated as an emergent bookkeeping quantity rather than a primitive postulate. The weighting associated with measurement outcomes arises from deterministic partition of conserved energy across available modes, producing the standard amplitude-squared rule without introducing an independent probability axiom. Spacetime curvature is interpreted as a geometric response to sustained compression gradients rather than as a fundamental background structure. In weak-compression limits, the effective description converges toward standard general-relativistic behavior, while quantum phenomena appear as mode structure within the underlying oscillatory substrate. The canonical ECT papers formalize these claims through the Primordial Wave Equation, the compression functional and its geometric extension, and the derived-probability framework. Together they define a closed architectural program in which oscillation, constraint, and mode stability replace independent postulates for probability, geometry, and particle ontology. 2. Canonical Components of Entanglement Compression Theory As of the timestamp of this record, Entanglement Compression Theory consists of the following four canonical components, listed in causal order. Each component is published as an independent, citable work. (1) Oscillatory Foundation Lawrence, W. A. (2025). The Oscillation Principle. Zenodo. https://doi.org/10.5281/zenodo.17058692 This paper establishes sustained oscillation under constraint as the primitive ontological substrate of ECT. It motivates treating persistence, stability, and physical existence as emergent from oscillatory balance rather than from static objects or probabilistic postulates. (2) Core Derivation of Probability and Compression Dynamics Lawrence, W. A. (2025). Theory of Derived Probability and Entanglement Compression. Zenodo. https://doi.org/10.5281/zenodo.15786696 This work introduces the core dynamical framework of ECT, defining the compression functional acting on the wave field and deriving probability as deterministic energy partitioning across resolvable channels. (3) Compression Geometry and Curvature Emergence Lawrence, W. A. (2025). Unified Derivation of Probability, Curvature, and Compression Geometry in Entangled Systems. Zenodo. https://doi.org/10.5281/zenodo.17349900 This paper extends the core framework to compression-induced geometric response, defining the compression tensor and demonstrating the emergence of effective curvature consistent with Einstein-type response laws. (4) Einstein-Type Gravitational Extension Lawrence, W. A. (2025). Deterministic Quantum Gravity from Entanglement Compression: An Einstein-Extension of ECT. Zenodo. https://doi.org/10.5281/zenodo.17538477 This work presents an explicit Einstein-type field extension derived from compression geometry, showing how gravitational response emerges from the same compression dynamics without introducing independent gravitational degrees of freedom. 3. Scope and Closure Rule The four works listed in Section 2 jointly define the canonical formulation of Entanglement Compression Theory as of the date of this record. Additional papers may extend, test, or apply ECT, but such work does not modify the canonical set unless an updated version of this declaration record explicitly revises the list. This declaration asserts identity and scope only. It does not assert correctness, consensus, endorsement, or priority beyond authorship attribution. 4. Citation Guidance When citing Entanglement Compression Theory as a theory-level object, cite this record’s concept DOI. When citing specific results, derivations, definitions, or physical claims, cite the relevant paper DOI directly from Section 2. End of declaration.
Compression geometry, Theoretical Physics, Emergent spacetime, Foundations of physics, Wave ontology, Entanglement Compression Theory, Derived probability, Theoretical physics, Quantum foundations
Compression geometry, Theoretical Physics, Emergent spacetime, Foundations of physics, Wave ontology, Entanglement Compression Theory, Derived probability, Theoretical physics, Quantum foundations
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