Tone Theory and Liquid Drop Quantum Mathematics
Anthony SANTANA
Published Aug 15, 2026• 0 citations
Abstract
AbstractThis paper introduces a unified mathematical paradigm that establishes a partial synthesisbetween macroscopic fluid structures and microscopic subatomic mechanics using a modifiedliquid drop mechanism. Designated as Tone Theory, this framework maps the boundaries of fun-damental quantum entities onto self-contained, incompressible fluid volumes operating withina relativistic hydrodynamic manifold governed by continuous entropy density constraints. Byadapting the macroscale interfacial energy tensors and capillary enrichment physics observedin biological film-rupture dynamics, we derive quantum state transitions, particle decays, andradiative emissions as stress-induced topological failures of a physical fluid surface. The intro-duction of covariant spacetime corrections and Lorentz-dilated mass distributions allows theclassical equations of surface tension and fluid retraction to natively generate discrete, quan-tized momentum transfers. This approach demonstrates that the abstract, non-deterministicphase changes of standard quantum models can be calculated as deterministic consequences ofinterfacial fluid dynamics, offering a scale-invariant continuum that unifies microscale particletopologies and macroscale fluid manifolds under a single structural acoustic architecture. Keywords: Tone Theory, Liquid Drop Model, Film Rupture, Relativistic Hydrodynam-ics, Covariant Manifolds.PACS Codes: 03.65.Ge, 47.75.+f, 47.55.nb, 21.60.EvCopyright: © 2026 by Anthony Santana. All rights reserved.DOI: 10.5281/zenodo.21942219
- DOI
- 10.5281/zenodo.21942218
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