TONE Theory and the Ising CFT Quantum Rydberg Simulation
Anthony SANTANA
Published Oct 4, 2026• 0 citations
Abstract
Abstract We present a rigorous, first-principles analysis of the emergent conformal field theory (CFT)spectra recorded in programmable Rydberg atom arrays, evaluating the empirical data withinthe Grand Unified Theory (GUT) context of the Tension-Optimized Newtonian Entropy (TONE)framework. By translating abstract, non-local quantum wavefunctions into localized, physicalfluid density ripples governed by the relativistic d’Alembert operator (□), we demonstrate thatthe discrete many-body energy spectra (2 : 4 : 6 : 8) and underlying spatial correlation matricesemerge natively from classical fluid mechanics operating on a pixelated, sub-Planckian substrate.We prove that the experimental boundary tuning parameters function as real mechanicalloads that counteract native substrate fluid-shear stress. This approach organically eliminatesinfinite ultraviolet divergences by establishing a natural geometric cut-off at the Planck length(LP ), demonstrating that quantum critical phase transitions are macroscopic manifestations ofhydrodynamic resonance and geometric mode selection within a granular, elastic space-timemedium. Keywords: Conformal Field Theory, Relativistic Fluids, Rydberg Atom Arrays, Spatial LatticeQuantization, d’Alembert Operator, TONE Substrate Mechanics, Grand Unified Theory, PlanckGeometryPACS Codes: 11.25.Hf, 03.70.+k, 47.75.+f, 05.30.Rt, 04.60.-mCopyright: © 2026 Copyright Pending Anthony Santana. All Rights Reserved.DOI: 10.5281/zenodo.23130083
- DOI
- 10.5281/zenodo.23130082
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