TSO: Fermion Scattering and Compton Energy Redistribution Explained by Temporal Phase We present the Time–Space Oscillations (TSO) framework, a unified conceptual model in which spatial directions, momentum, and angular momentum emerge from the relational structure of intrinsic temporal helices. Classical mechanics, including SO(3) rotational symmetry, billiard-ball scattering, and Hamilton–Jacobi dynamics, arise naturally in the high-frequency, short-interaction limit. By extending TSO to include spinor components, fermionic behavior is recovered, including exchange antisymmetry and Pauli exclusion. Applied to photon–fermion interactions, TSO provides a mechanism for energy and momentum redistribution through phase-gradient realignment, reproducing standard Compton scattering results and quantum electrodynamics predictions. TSO functions as an interpretational completion of quantum mechanics and QED, clarifying the emergence of momentum, spin, and probabilistic behavior, while remaining fully consistent with experimental observations. For newcomers, a structured overview of the foundational TSO papers is available in “Time Space Oscillations. Introduction papers” (Zenodo DOI: 10.5281/zenodo.1767154). It guides readers through the core principles of TSO—Time dilation and Gravity equivalence, TSO & EM, TSO & QM—and shows how the present work fits into the broader framework. For an overview of related work and publications, visit:https://ndl1971.github.io/time-space-oscillations/
Time--Space Oscillations (TSO): A Comprehensive Overview of the Research Corpus The Time--Space Oscillations (TSO) framework offers a deterministic and geometric perspective on physics, unifying classical mechanics, quantum phenomena, and relativistic effects through the phase geometry of time and space. By modeling particles and fields as intertwined temporal–spatial oscillations, TSO provides intuitive explanations for entanglement, inertia, wave–particle duality, and the emergence of forces. This document presents a structured overview of the TSO research corpus, summarizing approximately 20 published papers. It highlights key conceptual foundations, theoretical developments, and explorative applications, while summarising and clarifying the various temporal–spatial wave function representations and Cauchy integral formulations employed throughout the articles. In addition, the overview offers guidance for navigating the full corpus and understanding interrelations among the papers, enabling readers to approach TSO research systematically. By presenting both the foundational principles and advanced structures in a coherent manner, this overview serves as a roadmap for further theoretical exploration and applied research within the TSO framework. Version Updates: 0.93 Replaced Version specific DOIs &Links with Generic DOIs 0.92 Reverted to original version = 0.9. For an overview of related work and publications, visit:https://ndl1971.github.io/time-space-oscillations/ For questions, discussion, or collaboration regarding this work, please see ORCID profile: 0009-0007-4818-4485 https://orcid.org/ 0009-0007-4818-4485
This work further develops the Time–Space Oscillation (TSO) framework as a fully mechanistic alternative to the quantum-mechanical collapse postulate.In this approach, every elementary entity is modeled as an intrinsic time–space harmonic oscillator whose internal frequency encodes its inertial mass via the Compton relation. Measurement is reinterpreted as a phase-synchronization process between the system and the apparatus, resulting in decoherence and apparent state selection through dynamical alignment of TSO structures, rather than a fundamental discontinuity. A key insight of the theory is that a quantum system initially possesses an infinite-dimensional parameter ensemble defined over a looping time–space manifold. When coupled to a detector, this ensemble is rapidly reduced to a sharply localized set of harmonically compatible solutions—a process that naturally explains parameter binding, collapse-like behavior, and detector eigenstate selection. The TSO framework further provides a local and geometry-based explanation of entanglement. What appear as multiple separated particles in Euclidean space emerge from a single intrinsic oscillator mapped into the observer’s coordinates through non-Euclidean time–space transformations. As a result, phase correlations persist without requiring nonlocal influences or superluminal signalling. The article outlines testable predictions, including curvature-dependent decoherence times, phase-distribution narrowing, and controlled decay of entanglement under artificial TSO curvature perturbations. Together, these results suggest new experimental pathways for probing the deep structure of time–space, intrinsic oscillations, and the geometric origin of quantum behavior. For readers new to the Time–Space Oscillation framework, a structured overview of the four foundational TSO conceptual papers is available in “Time Space Oscillations. Introduction papers” (Zenodo DOI: 10.5281/zenodo.1767154). This companion document summarises the core principles of TSO —TSO concept, Time dilation and Gravity equivalence, TSO & EM, TSO & QM—and provides direct links to the full manuscripts. It serves as the recommended starting point for understanding how the present photon model fits into the broader TSO structure.