Quantum Physics

   

Testable Quantum Graph Theory the Universe

Authors: Sergej Materov

We’re excited to present the final, revised version of our paper on the discrete‑quantum graph theory of spacetime. Initial emulations and numerical checks (see our GitHub repository) qualitatively validate the model, but true confirmation requires experiments on real quantum hardware—experiments that can already be performed using the protocol detailed in the article. In earlier drafts, we did not derive the Hamiltonian explicitly, limiting predictions to inaccessible regimes. Here, the Hamiltonian serves as a bridge to established physics and will be reworked once positive experimental results arrive. We show that today’s quantum processors can unambiguously reveal noise signatures, and in Appendix C we derive the discrete quantum‑graph equation. Appendix D then demonstrates how this model reproduces Newton’s law, Maxwell’s equations, and Einstein’s field equations. Our numerical‑checks repository confirms that RG flow exponents, Regge action scaling, and discrete U(1) curvature precisely match analytic predictions. If experiments validate these results, it will strongly support a fundamentally discrete spacetime and challenge the continuum foundations of general relativity. Next steps are clear: we now await data testing our predictions for Tc, γ-dim_s, scaling laws, and ΛUB signatures. We’ve also added Appendix E, which outlines an experimental protocol for topology‑driven microwave anomalies (Δtan⁡δ>10^−4) in quantum paraelectrics at sub‑mK temperatures, testable on existing cryogenic microwave platforms.

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[v1] 2025-07-21 20:41:46

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