Sergej Materov
Registered Member
We’re pleased to share the revised preprint of our work on a discrete quantum-graph theory of spacetime (the Quantumograph). The Quantumograph is a discrete quantum graph model in which continuum field theories — including general relativity and gauge theories — emerge as effective descriptions at long wavelengths. Importantly, the discrete graph model is presented as the fundamental ontology; continuum theories arise only as approximations in a controlled scaling regime. Initial emulations and numerical checks (see our GitHub repository) qualitatively support the construction; true empirical confirmation will require implementation of the measurement protocol described in the paper, which is feasible on current QPU platforms under the conditions we specify. Key testable elements include predictions for qubit platforms (QPU and annealers), microwave/dielectric signatures, two-boundary (retrocausal) tests of causality, CHSH/Bell observables, and relations tying emergent constants to cosmological scales.
Comparison with Existing Quantum‐Gravity Frameworks.
Whereas competing theories require speculative extrapolations to 10¹⁹ GeV, our model operates at 10⁻⁴ eV—directly probing quantum spacetime via cryogenic quantum processors. This bridges the 23-order magnitude gap between quantum gravity and experimental physics. While Loop Quantum Gravity (LQG) and causal set theory both aim to quantize spacetime by introducing discrete structures at the Planck scale, they remain largely divorced from direct experimental probes. LQG postulates a spin‐network basis whose continuum limit is difficult to access spectroscopically, and causal sets predict nonlocal correlations whose characteristic length scales (of order the Planck length) lie far beyond current measurement precision. String theory and its AdS/CFT realizations offer a rich mathematical framework—complete with holographic dualities and higher‑dimensional embeddings—but likewise lack concrete, low‑energy signatures accessible to laboratory tests. Causal dynamical triangulations capture emergent four‑dimensional geometry through Monte Carlo sums over simplicial complexes, yet their numerical results hinge on ultraviolet cutoffs that are hard to relate to physical observables. Asymptotic safety scenarios and group field theories present promising renormalization‑group flows and combinatorial constructions, respectively, but still depend on unmeasured couplings or large‑N limits. In contrast, our graph‑theoretic approach defines coupling strengths Jij
and effective degrees z directly in terms of spectroscopically measurable energy scales on existing quantum hardware. This shift—from unobservable Planck‑scale constructs to experimentally tunable parameters—renders our theory’s predictions immediately falsifiable by tabletop spectroscopy and quantum‑processor benchmarks, an avenue neither LQG nor causal‑set models (nor string, CDT, asymptotic‑safety, or group‑field frameworks) presently afford.
Link to Academia.edu
Comparison with Existing Quantum‐Gravity Frameworks.
Whereas competing theories require speculative extrapolations to 10¹⁹ GeV, our model operates at 10⁻⁴ eV—directly probing quantum spacetime via cryogenic quantum processors. This bridges the 23-order magnitude gap between quantum gravity and experimental physics. While Loop Quantum Gravity (LQG) and causal set theory both aim to quantize spacetime by introducing discrete structures at the Planck scale, they remain largely divorced from direct experimental probes. LQG postulates a spin‐network basis whose continuum limit is difficult to access spectroscopically, and causal sets predict nonlocal correlations whose characteristic length scales (of order the Planck length) lie far beyond current measurement precision. String theory and its AdS/CFT realizations offer a rich mathematical framework—complete with holographic dualities and higher‑dimensional embeddings—but likewise lack concrete, low‑energy signatures accessible to laboratory tests. Causal dynamical triangulations capture emergent four‑dimensional geometry through Monte Carlo sums over simplicial complexes, yet their numerical results hinge on ultraviolet cutoffs that are hard to relate to physical observables. Asymptotic safety scenarios and group field theories present promising renormalization‑group flows and combinatorial constructions, respectively, but still depend on unmeasured couplings or large‑N limits. In contrast, our graph‑theoretic approach defines coupling strengths Jij
and effective degrees z directly in terms of spectroscopically measurable energy scales on existing quantum hardware. This shift—from unobservable Planck‑scale constructs to experimentally tunable parameters—renders our theory’s predictions immediately falsifiable by tabletop spectroscopy and quantum‑processor benchmarks, an avenue neither LQG nor causal‑set models (nor string, CDT, asymptotic‑safety, or group‑field frameworks) presently afford.
Link to Academia.edu
