Time-Residual Genesis of Gravity and the Four Fundamental Interactions: A Complete Source–Shadow Unification Proof from an Eighteen-State Relational Grammar

Description This record presents a self-contained theoretical and computational formulation of the CRGE–JS–SH Dimensional Genesis and Projection Closure framework. The construction begins before spacetime is assumed, with an eighteen-state relational grammar formed from outer negative, zero, and positive relations; inner A, B, and C relations; and occupied or vacant states. A directed minimal transition generates temporal order. Three independent residuals of temporal change then generate three spatial directions, establishing a dependency order of one temporal dimension followed by three spatial dimensions rather than an assumed three-space plus time. The residual geometry produces a twelve-direction JS shell, local incidence and Hodge structures, bounded source–shadow projection, an additive depth coordinate, a projectively invariant depth one-form, a 1+3 coframe, and a Lorentzian metric. Gravity is formulated as the universal geometric response to spatially nonuniform temporal compression. The same temporal-residual parent generator acts on the internal relational carrier, whose seventeen nonconstant components decompose orthogonally into sectors of dimensions 5, 1, 3, and 8. Their operational structures are identified, respectively, with the gravitational metric sector, the electromagnetic central sector, the weak chiral sector, and the strong color sector. The four interaction sectors are not introduced through four separately assumed actions. One parent connection, one parent curvature, one positive parent action, and one variational principle generate the gravitational, electromagnetic, weak, strong, and matter equations as projected Euler–Lagrange components, together with a common conservation identity. The manuscript also develops chiral matter, anomaly cancellation, three temporal generations, mass and mixing structures, source–shadow continuum completion, gauge-quotient transport, correlation reconstruction, scattering, renormalization-group flow, nonlinear gravity, black-hole and cosmological solution families, and a single external time-anchor decoder for all dimensionful units. Thirty principal standard-physics equation forms are connected to generated native operations and proved trajectory mechanisms, including conservation laws, Maxwell-type equations, Klein–Gordon, Schrödinger, Born, Heisenberg, Dirac, Yang–Mills, Ward, Noether, Einstein–Hilbert, Einstein–Maxwell, Friedmann, Kasner, scattering-unitarity, renormalization-fixed-point, and closed-mode-spectrum structures. These effective equations are treated as projected consequences and are not used as axioms for constructing the native theory. The complete record contains a 188-page manuscript, a self-contained Python proof program, its complete deterministic output, a registry of 460 executable theorems, and a ledger of 544 explicit derivations. All internally generated quantities are calculated as exact ranks, ratios, projectors, spectra, and invariant structures without observational fitting or insertion of measured absolute constants. The internal mathematical proof is complete on the explicitly declared admissible source and projective-continuum class. The record does not claim that an internal calculation can replace experiment. Physical identification with nature, blinded comparison of the sealed dimensionless predictions, and independent third-party implementation remain external scientific verdicts and are recorded as NOT_EVALUATED. Record contents:– Complete manuscript in PDF and TEX formats– Self-contained Python proof source– Complete deterministic execution output– Registry of 460 executable theorems– Ledger of 544 explicit derivations– Reproducibility and package manifest Author: Seunghyun HongORCID: 0009-0000-4044-2565DOI: 10.5281/zenodo.21683241 =================================================================== Related records Full-version data manuscript: https://doi.org/10.5281/zenodo.20731530 Submission-oriented version: https://doi.org/10.5281/zenodo.20802008 JS-SH route-gated Schrodinger recovery equation manuscript: https://doi.org/10.5281/zenodo.20849560 Element-wave stand-alone manuscript: https://doi.org/10.5281/zenodo.21100987 Dimensional-Genesis Dynamics: A Unified Classical Origin of the Four Fundamental Interactions: https://doi.org/10.5281/zenodo.21127052 =================================================================== Keywords CRGE; JS-SH; gravity; four interactions; unified field theory; dimensionless unification; closed wave; mirror depth; anti-infinity closure; dimensional bridge operator; SH distance operator; energy-distance ratio; action lock; fine-structure constant; strong coupling; weak mixing angle; finite-core black hole; element prediction; QD7; QD8; CODE 8100 ================================================================== UPDATE CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V3_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V4_INTEGRATED_ORIGIN_LAYER_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V5_DOI_21200354_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V28_DOI_21205819_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V29_DOI_21220007_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V31_DOI_21221535_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V34_REPAIRED_V31FORMAT_DOI_21223053_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V36_DOI_21127052_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V38_DOI_21127052_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_ORIGIN_LAYER_V41_INTEGRATED_STANDALONE_MANUSCRIPT CRGE_GRAVITY_FOUR_FORCE_V47_DOWNSTREAM_PROOF_COMPLETION_MANUSCRIPT ======================= SINGLE_DIMENSION_TRANSFORMER_LEDGER_FOUR_INTERACTION_SCALES_MAIN_MANUSCRIPT_AUTHOR_NOTE_BOXED SINGLE_DIMENSION_TRANSFORMER_LEDGER_FOUR_INTERACTION_SCALES_SUPPLEMENTARY_FULL_PROOF_LEDGER_AUTHOR_NOTE_BOXED ======================= SINGLE_DIMENSION_TRANSFORMER_LEDGER_FOUR_INTERACTION_SCALES_V5_MAIN_MANUSCRIPT SINGLE_DIMENSION_TRANSFORMER_LEDGER_FOUR_INTERACTION_SCALES_V5_SUPPLEMENTARY_INFORMATION ======================= UNIFICATION_FOUR_INTERACTIONS_DIMENSIONAL_GENESIS_V8_MAIN_MANUSCRIPT UNIFICATION_FOUR_INTERACTIONS_DIMENSIONAL_GENESIS_V8_SUPPLEMENTARY_INFORMATION ======================= UNIFICATION_FOUR_INTERACTIONS_DIMENSIONAL_GENESIS_V9_MAIN_MANUSCRIPT UNIFICATION_FOUR_INTERACTIONS_DIMENSIONAL_GENESIS_V9_SUPPLEMENTARY_INFORMATION UNIFICATION_FOUR_INTERACTIONS_DIMENSIONAL_GENESIS_V9_FULL_DATA_AND_TECHNICAL_RECORD ======================= CRGE_JS_SH_DGPC_V4_MANUSCRIPT =======================