This document presents the foundational mathematical framework of LDS-NDD theory in its first complete form (v1.0). The axiomatic structure, field equations, relativistic extension, fermionic emergence mechanism, and electromagnetic derivation are fully specified. All core derivations are presented in closed analytic form with explicit falsification criteria. What is complete: - Axiomatic foundation and canonical state variables - Gravitational sector with PPN predictions - Topological fermion emergence from density vorticity - Fine-structure constant derivation from crystallization threshold - Electromagnetic field derivation from conserved vorticity currents - Twelve experimentally testable predictions with kill-shot criteria What is deferred to subsequent versions: - Numerical instantiation of specific density configurations - Operational measurement protocol for absolute density (currently defined relationally) - Explicit GR-limit derivation via controlled approximation sequence - Chameleon-type screening mechanism (proposed, not yet calculated) - Confrontation with SPARC galaxy database (analysis in preparation) Versioning intent. This framework will evolve through transparent revision. Future versions will refine operational definitions (v1.x), add numerical predictions (v2.x), and incorporate experimental confrontation (v3.x). The present document establishes the complete analytic foundation from which all subsequent work derives.
Arun Babu Nalamara (Fri,) studied this question.