Space, Time, Dynamics, and What a D–T Resonance Width Measures: Coordinate Recurrence, the Finite CNG Event Clock, and Boundary Flux as Distinct Projections of One Geometric Event

Abstract

This paper develops a unified Constrained Null Geometry (CNG) interpretation of physical space, proper time, dynamics, and resonance width using deuterium–tritium fusion as a quantitative example. The central geometric distinction is that recurrence of a coordinate does not imply recurrence of the realized physical event. In CNG, physical space is represented by the relational geometry of a realized constrained-null configuration, while positional coordinates are only reduced readouts of that geometry. The same logic applies to time: recurrence of a clock coordinate does not imply recurrence of the earlier proper-time event. The paper then applies a same-event principle to the D–T fusion process. The fusion-completion recurrence length and the projective transfer to the common domain are treated as two descriptions of one realized event within a minimal CNG action class. This yields a fusion-completion time of 8.49143190870 × 10^-21 seconds. An independently derived post-common reconstruction gives 2.90318919725 × 10^-22 seconds, producing a complete finite event time of 8.78175082842 × 10^-21 seconds. The corresponding inverse internal-event energy scale is 74.95224697 keV. Resonance width is treated separately. In the locally dominant simple-pole regime, the width is interpreted geometrically as the energy-scaled normalized probability flux leaving the projected common domain. It is therefore not identified by definition with the duration of the complete finite reconstruction. As a downstream empirical comparator, the Bosch–Hale D–T parametrization gives a rational pole–zero diagnostic of 74.8626048 keV, only about 0.1197% below the independently derived CNG internal-event scale. A profile chi-square audit of the 17-point Jarmie–Brown–Hardekopf low-energy D–T data gives a difference in chi-square of 1.2891 between the two fixed candidate scales. The available measurements therefore do not strongly discriminate between them. The paper consequently distinguishes the intrinsic CNG event-scale hypothesis from the externally reconstructed Bosch–Hale diagnostic. The present data do not demonstrate that the two nearby scales are physically distinct, while a more precise amplitude-level determination would provide the decisive future test. A separate reproducibility ZIP accompanies the paper. It contains numerical scripts for the event-clock calculation, Bosch–Hale diagnostic extraction, internal-versus-external comparison, post-common kinetic-scale audit, profile chi-square certificate, machine-readable results, data provenance, and SHA-256 integrity hashes. The supplement contains no copy of the manuscript.