Five Fundamental Axioms of Hierarchical Nested Dimensional Theory (HNDT) V5 Final Closed Version

Notes: Version 5 (V5-Update) – Closed Ontological Core of HNDT This is an updated version of HNDT V5 (previously published on 2026-04-25). The axiomatic core remains unchanged: five self-consistent axioms defining the dimensional hierarchy D0 < D1 < D2 < D3 < D4, the λ (Hongdao) parameter, inter-dimensional projection rules, the three defining properties of the 3D world, and universal immanent nesting. Major changes in this version:- Removed all numerically fragile empirical claims previously carried forward from V4 (e.g., the specific Bayes factor 280, the 22% shadow enlargement, and the decoherence formula as a precise prediction). These have been replaced by qualitative, falsifiable predictions that do not depend on the numerical correctness of V4.- Added explicit clarification that the Langevin-type equation for λ is phenomenological and the decoherence timescale is an order-of-magnitude estimate, not an axiomatically derived law.- Strengthened the independence of V5 as a closed ontological framework: the present version does not rely on the empirical analyses of V4 for its logical consistency or falsifiability. All core ontological propositions, axioms, and definitions remain exactly as in the previous V5. This update merely removes potentially problematic dependencies on preliminary V4 data and clarifies the status of dynamical equations. The theory remains fully falsifiable through future high-precision observations (CMB, black hole shadows, decoherence experiments) without being tied to specific numerical values that may require revision. For detailed empirical analyses and the original derivations of the hierarchical coefficients, readers are referred to V4 (Zenodo DOI: 10.5281/zenodo.19662262). The present V5 now stands as a self-contained axiomatic foundation for all further developments of HNDT.