Four Fundamental Interaction Sectors from a Common Native Generator: Dimensional Genesis, Projection Closure, and Effective Dynamics

Description This record presents a standalone theorem-first formulation of the CRGE–JS–SH Dimensional Genesis and Projection Closure Theory. Starting from a primitive signed-occupancy ledger composed of negative, zero, and positive outer sectors, nested A–B–C inner sectors, and empty–full occupancy states, one ordered temporal residual chain generates an eighteen-state source carrier and a recursive three-coordinate spatial structure. The generated source algebra decomposes exactly into one common mode and four nontrivial interaction carriers of dimensions 5, 1, 3, and 8. Their independently derived algebraic signatures provide a unique structural identification with gravity-like, electromagnetic-like, weak-like, and strong-like sectors. The construction includes exact compact carrier algebras, positive Green-response operators, a common parent action, gauge covariance, chiral matter, anomaly cancellation, fermionic CAR and spin structure, three temporal generations, Higgs-sector separation, Lorentz covariance, and source-generated gravitational geometry. The accompanying CODE 8100-910 extends the finite construction to arbitrary-depth source-cylinder reconstruction, an inductive-limit source–shadow equivalence, completed generator and semigroup intertwining, a unique reflection-positive mixing source measure, full and faithful gauge-quotient transport, completed bounded correlation functionals, unitary four-channel scattering, and exact renormalization-scale-to-scattering transport. All declared internal theorems are evaluated with exact arithmetic in one standalone Python proof source without reading previous code, previous output, or external numerical files at runtime. The manuscript distinguishes internal mathematical completion from empirical identification. No measured Standard Model value is used to fit or select the native structure. Absolute physical identification, experimental ratio comparison, and independent third-party reproduction remain external falsification requirements. This Zenodo record contains the manuscript source, compiled PDF, standalone proof code, complete execution output, and an integrated reproducibility package. Zenodo DOI: 10.5281/zenodo.21635756 =================================================================== 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 =======================