Integrating Relativistic Quantum Mechanics, Relational Gravity and Cosmology
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Foundational tensions between special relativity and quantum mechanics, together with conflicts between general relativity and quantum gravity, and unresolved cosmological anomalies, block theoretical unification and limit explanatory depth. Based on ontological first principles rather than mathematical constructs, this analysis integrates a discrete, background-independent 4D spacetime with a physically co-located Planck Domain. Through a one-to-one identity, the Planck Domain mirrors the discrete spatial elements of 4D spacetime, enabling a unified set of physical laws across quantum and classical regimes.Ontic single- and N-body quantum states evolve deterministically in a discrete 4D spacetime and collapse instantaneously in the Planck Domain. This framework resolves tensions with special relativity, including simultaneity, locality, and total energy scaling, preserves unitarity and causal consistency, and replaces the Hilbert‑space wavefunction with an ontic energy field and a single energy-based operator that governs both motion and gravitational response. The same ontological and dynamical model applies unchanged across general relativity, quantum gravity, and cosmology, treating gravitational singularities, relational gravity, the equivalence principle, and the black hole information paradox within the context of a single unified structure. In cosmology, it reinterprets the origin of 4D spacetime, accounting for near-homogeneity, isotropy, and low gravitational entropy, and provides an ontological basis for the cosmological constant and global energy conservation without ad hoc assumptions, fine-tuning, or perturbative techniques. Five discrete, background‑independent mathematical validations, four in relational gravity and one quantum test, support the framework: (i) low‑ℓ CMB temperature power‑spectrum shape from a single global amplitude factor; (ii) emergence of first‑star and metal‑enriched populations under a fixed operator; (iii–iv) two‑ and three‑body dynamics with tight energy, momentum, and barycenter invariants; and (v) CHSH correlations at the Tsirelson bound from the collapse rule.