Deterministic Quantum Gravity from Compression Geometry: Why Gravity Does Not Require Primitive Multidimensionality

Deterministic Quantum Gravity from Compression Geometry: Why Gravity Does Not Require Primitive Multidimensionality presents a full paper-facing derivation of Deterministic Quantum Gravity (DQG) as an Einstein-extension of Entanglement Compression Theory (ECT). The central result is a unified compression-geometry route in which quantum behavior, gravitational curvature, matter-readability, dark-matter-like gravitational effects, and dark-energy-facing expansion behavior arise as downstream readouts of deeper compression-order structure. The paper reframes the quantum-gravity problem by treating quantum mechanics and general relativity not as rival primitive foundations, but as different readout regimes. Quantum mechanics reads boundary, scalar, amplitude, and probability-facing residue. General relativity reads metric, curvature, causal, and gravitational response. DQG moves below both regimes and develops the route by which compression order becomes readable first as probability and then as gravity. The gravity-facing derivation proceeds from compression density ρ = |Ψ|² through regularized compression potential, compression tensor, symmetric metric-relevant compression structure, effective metric candidate, compression stress-response, narrowed C_rule conservation-facing status, field-equation readability, and Einstein-extension status. This supplies the paper’s central bridge: gravity need not originate as primitive multidimensional curvature. It may arise as the spacetime-readable expression of compression-state difference becoming dimensional through decompressive readout. The paper also gives a downstream interpretation of the dark sector. Dark matter is identified, within the DQG route, as gravity-readable non-matter-readable compression energy. Dark energy is identified as decompressive carrier of dimensional readability. The DG/DE phase-share law gives the non-numeric phase-readable partition between these roles while preserving strict limits against imported ΛCDM matching, fixed ratios, or empirical confirmation by resemblance. This revision incorporates and subsumes the tensor-formalism route previously developed in Unified Derivation of Probability, Curvature, and Compression Geometry in Entangled Systems. The earlier compression-geometry and effective-metric material is now integrated into the full DQG derivation, with stronger admissibility gates, source discipline, status boundaries, diagnostic firewalls, and failure conditions. The result is a major theoretical synthesis: a compression-field-first route from persistent observable structure to quantum-readable probability, matter-readability, effective metric response, Einstein-limit recovery, field-equation readability, and bounded dark-sector interpretation. Revision Note Version 5 (June 14, 2026) This revision adds a front-matter “Major Equations and Route-Control Identities” table for easier equation-level navigation. It also clarifies in Appendix A and Appendix E.2 that the scalar compression-readout quantity C in χC = ΔC/C is distinct from the compression tensor Cμν and related tensor objects. No substantive changes were made to the derivation route, response law, conclusions, or scope boundaries. Revision Note, June 2026 This release is a major overhaul of the prior DQG record. It replaces the earlier effective-response framing with a full derivation archive and incorporates the tensor-formalism route from the prior compression-geometry paper. The revision adds front-matter navigation, a core results summary, dependency orientation, expanded source-discipline controls, tensor-admissibility and effective-metric gates, corrected boundary-loss and Born-form recovery status, narrowed C_rule conservation-facing discipline, DG/DE phase-share restrictions, diagnostic firewalls, simulation evidentiary limits, and explicit failure conditions. Earlier claims involving probability grounding, dark-sector numerical ratios, effective metric status, conservation closure, and empirical prediction status have been narrowed, corrected, or relocated under the current DQG route conditions.