Part 3_Unification of four fundamental interactions by dimensional genesis

Description This Version 9 archive presents dimensional-genesis dynamics, a theoretical and computational framework in which spatial rank, causal time, metric signature, field degrees of freedom, and the four fundamental interaction sectors arise from a dimensionless zero-balance state rather than being introduced on a pre-existing spacetime background. The primitive state is a 5:5 zero-balance configuration with no residual polarity or causal orientation. A one-sided local departure from this balance separates a primary branch from a delayed secondary response and activates a conserving Gamma connection. The Gamma connection carries transient conservation burden, directed transfer, finite propagation order, and route-dependent history. Spatial dimension is generated through a rank-lift rule. A newly admitted Gamma carrier increases spatial rank only when it lies outside the span of the previously generated carrier. The construction therefore progresses from no resolved direction to a signed line, a non-collinear plane, and a rank-three isotropic spatial carrier. The primary–Gamma–secondary precedence relation independently generates one causal rank without requiring an externally supplied clock. The resulting event structure distinguishes three simultaneous spatial directions from one sequential causal direction. The same dimensional-genesis chain produces a Lorentzian event geometry, a 3 + 2 internal carrier, and a twenty-four-generator decomposition of 24 = 8 + 3 + 1 + 12. This structure supplies a U(1) × SU(2) × SU(3) field dictionary and one classical parent action with no adjustable relative dimensionless coupling ratio apart from a single overall action scale. Variation of the parent action yields the declared matter, electromagnetic, weak, strong Yang–Mills, and Palatini–Einstein sectors. The four fundamental interactions are presented as differentiated dynamical variations and projection readouts of one common origin structure. Signed endpoint polarity provides the electromagnetic readout, reclosure conversion provides the weak readout, inward mirror-depth gradient provides the strong readout, and unsigned global closure burden provides the gravitational readout. The selected interaction-scale comparisons report raw differences of 0.000222275616% for the electromagnetic fine-structure constant, 0.001961707470% for the strong coupling at the Z-boson scale, 0.000898057997% for the Fermi constant, and 0.004058958230% for the inverse proton gravitational coupling. Across twenty-four numerical readout targets, the recorded mean raw difference is 0.001364172097%, the maximum raw difference is 0.004503326180%, and the maximum dimension-vector error is 0%. The reproducibility master is CODE 8100-674. It is a self-contained cumulative detailed-evidence program that executes fifteen named evidence blocks and records 4,316 terminal evidence leaves or rows in a deterministic output of 7,870 lines. The strict native execution reads no previous code, previous output, CSV, JSON, or ZIP artifact and uses no optimizer, fitting procedure, external clock, continuous free dimensionless parameter, or logarithmic, exponential, or trigonometric runtime operation. The Version 9 archive separates the research record into three documentation layers. The main manuscript presents the central physical argument in a submission-oriented form. The concise Supplementary Information contains the equationsThe Version 9 archive separates the research record into three documentation layers. The main manuscript presents the central physical, derivations, quantitative tables, reproducibility summary, and falsification conditions required to evaluate the central claims. The 111-page Full Data and Technical Record preserves the complete proof ledger, extended derivations, historical computational records, prediction ledgers, code maps, and detailed reproducibility documentation. The archive contains: Main manuscript in PDF and LaTeX formats; Concise Supplementary Information in PDF and LaTeX formats; 111-page Full Data and Technical Record in PDF and LaTeX formats; Neutral cover letter in PDF format; Complete reproducibility and submission package in ZIP format. The result is stated as an internally closed finite classical construction under the explicitly declared zero-balance, locality, spatial rank-lift, minimality, primitive-exchange, and one-global-decoder assumptions. Internal closure does not constitute completed empirical proof of a final theory of nature. Quantum anomaly cancellation, the origin of three matter generations, confinement and the mass gap, loop renormalization, absolute SI decoding, precision scattering, nonlinear gravitational solutions, distinctive parameter-free experimental signatures, and independent experimental validation remain explicit continuation and falsification boundaries. =================================================================== 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 =======================