Tone Theory and Entangled W States
Anthony SANTANA
Published Oct 1, 2026• 0 citations
Abstract
Abstract This research manuscript establishes a deterministic, real-space geometric re-evaluation of multipar-tite quantum information processing by analyzing multi-qubit W states through the Tension-OptimizedNewtonian Entropy (TONE) framework. Recent experimental data from the photonics sector demon-strates that three-qubit W states can be resolved with a measurement discrimination fidelity of 0.871by tracking cyclic shift symmetry with a three-mode Discrete Fourier Transform (DFT) optical circuit.Mainstream quantum information models interpret this multipartite correlation through non-local wave-function collapse and abstract Hilbert-space projections, lacking a concrete mechanical mechanism forspatial mode synchronization. By refactoring the linear optical architecture into the continuum mechan-ics of a continuous fluid substrate, we demonstrate that cyclic shift symmetry represents the invariantphase alignment of discrete wave packets traveling across a flexible, multi-layered material canvas. The100% theoretical sorting efficiency of the DFT circuit is derived as a literal topological frequency map-ping where phase-locked coordinate ribbons guide multi-photon tracks into precise, localized intersectionnodes without non-physical probability collapses. Tone Theory successfully removes statistical quantumambiguities, transforming multipartite entangled measurements into robust empirical validation for acontinuous, tension-optimized pore lattice substrate. PACS Numbers: 03.67.Bg, 03.67.Hn, 42.50.Dv, 47.10.adKeywords: TONE Framework, Entangled Measurements, W States, Cyclic Shift Symmetry, DiscreteFourier Transform, Displaced-Sagnac Architecture, Substrate MechanicsCopyright Notice: Copyright Pending © 2026 Anthony Santana. All Rights Reserved.DOI: 10.5281/zenodo.23074385
- DOI
- 10.5281/zenodo.23074384
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