time-space-oscillations

Time–Space Oscillations (TSO)

Time–Space Oscillations (TSO) is a mathematically rigorous and implicitly derived theoretical framework in which spacetime itself exhibits intrinsic oscillatory structure. Each particle’s Time–Space field is associated with a pair of complex plane oscillations in a complex-conjugate relation, and quantum, relativistic, and gravitational phenomena emerge naturally from the synchronization and normalization of these oscillatory phases and frequencies, which evolve from the fundamental relations between observer and observed particles, and from the mutual effects between interacting particles.

This framework provides a naturally emergent, easy-to-grasp alternative to traditional wave–particle duality models, offering a unified perspective on fundamental quantum, relativistic, and gravitational phenomena.

The TSO framework aligns with Maxwell’s epistemological description of the electromagnetic field, with the key difference that the oscillatory structure is attributed to time and space rather than electromagnetic waves. Additionally, by expressing 4π Dirac spinors as complex-conjugate 2π spinor combinations, TSO provides a geometrical interpretation of spinor structure that naturally emerges from the spacetime oscillations, ensuring that the conclusions of the different frameworks remain coherent and consistent.

This repository serves as a centralized hub for TSO research, hosting publications, derivations, figures, and supporting materials, providing a complete reference for further study and exploration of the framework.

Keywords

Time–Space Oscillations (TSO), spacetime oscillations, quantum mechanics, relativity, time dilation, Compton frequency, particle oscillators, deterministic quantum theory, geometric quantum mechanics, quantum measurement, entanglement, vacuum structure, inertia, gravitation, electromagnetism, unification of forces, emergent spacetime, Hilbert space extensions, Calculus of Element Generated Sets( CEGS )

Overview

TSO investigates:

The framework provides insights into particle interactions, spacetime structure, and potentially unifying aspects of fundamental forces.

See:

Publications & Resources

The main publications and the documents where to start can be found on Zenodo under my author profile:

  1. Time–Space Oscillations: A Geometric and Deterministic Approach to Relativistic and Quantum Phenomena Zenodo DOI:10.5281/zenodo.17534734
    The foundational article introducing the TSO framework and its applications to both relativistic and quantum phenomena.

  2. Time Dilation and the Nature of Gravitational and Inertial Forces Zenodo DOI:10.5281/zenodo.17543059
    Explores the TSO perspective on time dilation and the interplay of inertial and gravitational forces.

  3. Time–Space Oscillations and Electromagnetics Zenodo DOI:10.5281/zenodo.17591325 Applies the TSO model to electromagnetic phenomena, revealing novel interpretations of wave propagation and field interactions.

  4. Time–Space Oscillations and Quantum Mechanics Zenodo DOI:10.5281/zenodo.17670668 Extends TSO to encompass quantum mechanical principles, including Heisenberg uncertainty, Schrödinger dynamics, path integrals, entanglement, zero-point energy, and the Quantum Zeno effect.

  5. Readers Map & Exploratory Papers – Overviews and context for TSO research. Zenodo DOI:10.5281/zenodo.18056873 Readers Map and link to further elementary papers on TSO


Official Research Archive

The complete and authoritative collection of TSO publications is maintained via the Zenodo community:

Zenodo – TSO Research Community https://zenodo.org/communities/tso-research

All peer-facing papers, versions, and DOIs referenced in this repository are archived there.

Getting Started

This repository is intended for:

Contact

Author: Norman de Leeuw
Profile: Orcid

Feedback, questions, or collaboration proposals are welcome via email (available on Orcid).


This README will be updated as new research and publications are released.