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April 25, 20260 citationsOpen Access

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

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YLYingkui LuYLYifei Lu

Key Points

  • This work finalizes the foundational axioms of the Hierarchically Nested Dimensions Theory, establishing its ontological core.
  • Presents five fundamental axioms that are self-consistent and minimal.
  • Delineates properties of the 3D material world and their inter-dimensional connections.
  • Inherits empirical testability from previous versions without introducing new predictions.
  • Establishes a five-layer hierarchical structure with defined directional links.
  • Describes interactions governed by a continuous parameter that connects dimensions.
  • Supersedes earlier versions as the closed ontological core for extended studies on quantum phenomena.

Abstract

Notes: Version 5 (V5) – Closed Ontological Core of HNDT This is Version 5 (V5) of the Hierarchically Nested Dimensions Theory (HNDT), which finalizes the foundational ontological framework of the theory. Unlike earlier versions (V1–V4) that contained detailed mathematical derivations, numerical simulations, and empirical likelihood analyses, V5 presents a minimal, self‑consistent set of five fundamental axioms following Ockham’s razor. All mathematical formulations and falsification conditions remain available in V1 and V4. The five axioms define: A five‑layer hierarchical chain D0≺D1≺D2≺D3≺D4D0≺D1≺D2≺D3≺D4 with irreversible evolutionary directionality. Unidirectional transmission: complete upward penetration, fragmentary downward projection. The continuous parameter λ∈0,1λ∈0,1 (Hongdao Value) as the inter‑dimensional linkage, governing implicit/explicit states. The three essential properties of the 3D material world – gravity/mass, entropy/energy, time/space – linked by E=mc2E=mc2. Universal immanent nesting: all dimensions permeate each other, with quantum fields and human consciousness serving as inter‑dimensional bridges. V5 contains no new empirical predictions; empirical testability (CMB tanh⁡2tanh2 suppression, black hole shadow correction, decoherence time) is fully inherited from V4. This version serves as the closed ontological core for all subsequent extended studies on quantum phenomena, wave‑particle duality, consciousness‑matter relations, and human‑AI symbiosis. All earlier versions (V1–V4) are superseded by this ontological closure, though V1 and V4 remain necessary references for mathematical and empirical details.

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Cite This Study

Lu et al. (2026) studied this question.

synapsesocial.com/papers/69ec5a2588ba6daa22dabae2https://doi.org/10.5281/zenodo.19706771
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