Tone Theory and Orbitals Imaging
Anthony SANTANA
Published Aug 5, 2026• 0 citations
Abstract
Abstract This paper establishes the theoretical correspondence between recent three-dimensional pho-toemission orbital tomography data and the deterministic structural metrics of the TopologicalOrdering Network Equation (TONE) framework. By evaluating the sub-angstrom spatial recon-struction of frontier molecular orbitals, we demonstrate that the observed electronic wavefunctionsmanifest as real-wave fluidic excitations confined within discrete boundary layers rather than non-local probability distributions. The canonical mapping demonstrates that the measured spatialnodes of the highest-occupied molecular orbital (HOMO) couple directly to localized potentialenergy minima anchored to an underlying sub-Planckian pore matrix. This structural alignmenteliminates the requirement for non-physical probabilistic abstractions by deriving quantum statesthrough exact geometric containment under the invariant constraints of the Planck volume. PACS Codes: 03.65.Ta, 31.10.+z, 42.50.XaKeywords: Photoemission Tomography, Wavefunction Reconstruction, Planckian Pore, Deter-ministic Lattice, TONE TheoryCopyright Notice: Copyright © 2026 Anthony Santana. All Rights Reserved.DOI Registration: 10.5281/zenodo.23074462Prior DOI: 10.5281/zenodo.21812559
- DOI
- 10.5281/zenodo.21812558
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Abstract This paper maps the quantum field mechanics of gradual mirror boundary removal and mode trun-cation directly onto the physical substrate parameters of the Tension-Optimized Newtonian Entropy(TONE) model. By replacing abstract Fock space vacua, non-local quantum entanglement, and prob-abilistic ladder operators with a deterministic ten-dimensional (10D) tripartite fluid continuum, weshow that state truncation is a manifestation of macroscopic hydrodynamic wave partitioning. Weformalize the structural conversions for the Bogoliubov transformation matrices, the Shale-Stinespringcondition, and the companion integral kernels into localized mass-flux vectors and sub-Planckian vis-cosity bounds. Through this translation, we establish a classical mechanical foundation for one-particlefidelity limits, demonstrating that vacuum excitations and state degeneration are governed entirely bythe rigid four-sided geometric boundaries of a discrete Planckian pore matrix. PACS Numbers: 03.70.+k, 42.50.Nn, 47.10.ad, 11.30.ErKeywords: Truncated Photons, Bogoliubov Transformation, Shale-Stinespring, Substrate Mechanics,TONE FrameworkCopyright Notice: Copyright Pending © 2026 Anthony Santana. All Rights Reserved.Digital Object Identifier (DOI): 10.5281/zenodo.21844898