TONE Theory and Rydberg Quantum Boundary Actions
Anthony SANTANA
Published Aug 22, 2026• 0 citations
Abstract
Abstract We establish a rigorous, one-to-one mathematical translation between the Quantum IsingConformal Field Theory (CFT) and the Tension-Optimized Newtonian Entropy (TONE) frame-work. By replacing abstract quantum wavefunctions with localized, physical fluid density ripplesgoverned by the d’Alembert operator (□), we demonstrate that the discrete many-body energyspectra (2 : 4 : 6 : 8) and spatial correlation matrices recorded in recent programmable Rydbergatom arrays emerge directly from classical, relativistic fluid mechanics on a pixelated substrate.We prove that the experimental boundary tuning parameters operate as physical mechanicalloads that counterbalance native substrate fluid-shear stress. This framework eliminates infiniteultraviolet divergences by introducing a natural, discrete lattice floor at the Planck scale, show-ing that quantum critical phase transitions are macroscopic manifestations of hydrodynamicresonance within a quantized space-time medium. Keywords: Conformal Field Theory, Relativistic Fluids, Rydberg Atom Arrays, Spatial LatticeQuantization, d’Alembert Operator, TONE Substrate MechanicsPACS Codes: 11.25.Hf, 03.70.+k, 47.75.+f, 05.30.RtCopyright: © 2026 Copyright Pending Anthony Santana. All Rights Reserved.DOI: 10.5281/zenodo.22062573
- DOI
- 10.5281/zenodo.22062572
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