Part 3_A Single Dimension-Transformer Ledger Reproduces Four Fundamental Interaction Scales

This Version 5 archive presents a self-contained theoretical and computational study of a single dimensionless closed-wave ledger for the electromagnetic, strong, weak, and gravitational interactions. The framework begins from a 5:5 zero-balance throat and a non-simultaneous primary–Γ-connector–secondary causal sequence. The Γ connection carries transient conservation burden, directed transfer, causal precedence, and order-sensitive history information. The construction generates a rank-three isotropic close-packed spatial carrier and one clock-free causal direction. An exhaustive test of the sixteen primitive sign assignments selects the positive-energy hyperbolic signature (+,−,−,−), with the native metric diag(4,−1,−1,−1). Time is treated as an independent causal direction that orders complete three-dimensional spatial states rather than as a fourth equivalent spatial axis. Three equivalent Γ route channels and two bipolar matter channels form a 3+2 internal carrier. Its twenty-four traceless generators decompose as 24=8+3+1+12, providing the internal SU(3)×SU(2)×U(1) field dictionary and bridge sector. Primitive-event exchange fixes the relative weights of one classical parent action, leaving no adjustable dimensionless ratio. Exact variation produces the declared matter, Maxwell, weak SU(2), strong SU(3) Yang–Mills, and Palatini–Einstein sectors. The Maxwell sector contains one gauge-null direction and exactly two transverse propagating modes. The same closed-wave ledger and fixed dimension-transformer decoder reproduce four selected interaction-scale readouts. The reported raw differences from the sealed comparison references are 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 mean raw difference is 0.001364172097%, the maximum raw difference is 0.004503326180%, and the maximum dimension-vector error is 0%. The current cumulative reproducibility master is CODE 8100-674. Unlike the earlier summary-only execution, CODE 8100-674 recomputes and prints the detailed cumulative evidence in one self-contained run. Its deterministic output contains 7,870 lines, fifteen evidence sections, and 4,316 detailed evidence leaves or rows. The output includes the twenty-four direct readout targets, zero-whole bipolar algebra, JS reference-origin fields, integer-depth modes, the thirty-six-contact rotational network, multishell Lorentz propagation, full Whitney–Hodge assemblies, primary–secondary causal-current cases, 5:5 oscillation and conditional half-life records, the unified parent action and variations, clock-free time emergence, and Γ causal-memory history states. The strict native runtime does not read previous code, previous output, CSV, JSON, or ZIP artifacts. It uses no optimizer, fitting procedure, external clock, continuous free dimensionless parameter, or runtime logarithmic, exponential, or trigonometric operation in the strict native proof spine. Two independent executions produce identical output. The result is an internally closed finite classical theorem under the explicitly declared zero-balance, locality, minimality, primitive-exchange, and one-global-decoder constitution. This internal closure is not presented as completed empirical proof of a final theory of nature. Quantum anomaly cancellation, the origin of three generations, confinement and the mass gap, loop renormalization, absolute SI decoding, precision scattering predictions, nonlinear gravitational solutions, and independent experimental tests 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 A Single Dimension-Transformer Ledger Reproduces Four Fundamental Interaction Scales: 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 =======================