Microscopic Dynamics of the Space-Time Membrane: Supplementary Appendices A–P and Reproducibility Code Pack

This repository contains the supplementary mathematical derivations, numerical investigations, reproducibility code and supporting data for: Microscopic Dynamics of the Space-Time Membrane: Coframe Geometry and a Common Descent Architecture for Matter, Gauge and Gravity Author: Paul Swann, Independent Researcher, UK The accompanying research develops a conservative microdynamic formulation of the Refined Space-Time Membrane (RSTM) framework, using an intrinsic non-integrable coframe as the common spatial geometry from which matter, internal response structures and infrared gravitational dynamics are investigated. The archive contains two principal components: 1. Supplementary Appendices A–P Detailed derivations and technical investigations covering the conservative coframe parent, Hamiltonian positivity, constitutive response, finite-wavenumber selection, fixed-charge matter localisation, family structure, positive-frequency reduction, spin and exchange topology, projective gauge geometry, measurement response, infrared gravitational closure, ultraviolet behaviour, cross-sector normalisation, claim provenance and notation. 2. Supplementary Reproducibility Code Pack Computational scripts, numerical reference outputs, validation checks, plotting scripts, figure assets and a figure-to-result mapping supporting the analytical and numerical results presented in the main manuscript. The materials distinguish mathematical and structural results from numerical demonstrations within specified action classes and unresolved physical predictions. In particular, physical particle species attachment, flavour observables, absolute normalisations, universal measurement statistics and complete ultraviolet and cosmological closure remain open research questions. This archive provides a persistent, independently citable technical and computational record supporting the associated preprint. It is not a separate peer-reviewed publication.