TONE Theory and Quantum Least Action
Anthony SANTANA
Published Aug 5, 2026• 0 citations
Abstract
Abstract This paper establishes the physical and structural infrastructure re-quired to map exact quantum wave functions from deterministic classicaltrajectories. While recent mathematical advancements demonstrate thatthe Schr¨odinger, Klein-Gordon, and Dirac wave functions can be derivedexactly from multi-valued classical action fields ϕj and classical densitiesρj navigating constraint branch points, these mathematical frameworksrely on abstract boundary restrictions. The TONE (Tensioned OrthogonalNetwork Ensemble) framework provides the necessary physical substrateby modeling the vacuum as a highly tensioned macroscopic manifold skinstructured by discrete, localized 2π Planck-scale pores. By embeddingmulti-valued Lagrangian optimization paths directly within this physical,porous spatial network, abstract topological constraints are converted intoexplicit, localized boundary interactions. This geometric synthesis pro-vides a complete, non-superposition mechanical foundation for quantummechanics, demonstrating that wave behavior, quantization, and deter-ministic wave-envelope transitions arise naturally from a continuous fluxtraversing a discrete spatial fabric. Keywords: Quantum Mechanics, Least Action, Hamilton-Jacobi, Planck Pores,TONE FrameworkSubject Areas: Quantum Foundations, Mathematical Physics, TheoreticalCosmologyPACS Codes: 03.65.Ta, 03.65.Ca, 04.20.Cv, 11.10.EfDOI: 10.5281/zenodo.21813248Copyright: © 2026 Anthony Santana. All rights reserved. Registered PreprintArchitecture
- DOI
- 10.5281/zenodo.21813247
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