Published November 24, 2025 | Version 0.953
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Time-Space Oscillations and Electromagnetics

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Description

This work presents a comprehensive theoretical framework uniting classical electromagnetism, relativistic time dilation, and quantum-like phenomena under a single deterministic model of Time–Space Oscillations (TSO).

In this framework, the electron is modeled as a harmonic oscillator with complex conjugate time and space components, F=T+iS_m (where T time in seconds S_m=cS, S_m space in meters where S in seconds), revealing that electromagnetic behavior arises not from probabilistic charge motion but from oscillations of time and space themselves. This provides a unified geometric and physical interpretation of voltage, current, impedance, energy transfer, and field propagation.

Building on the established TSO foundation, this study extends the concept to electromagnetic systems, showing how classical circuit laws, inductive coupling, flux quantization, and wave propagation naturally emerge from harmonic TSO states. Quantum-like effects—including polarity flips, discrete field quantization, and entanglement analogues—arise deterministically from classical physics, without invoking probabilistic assumptions.

The framework predicts novel phenomena and device behaviors, such as voltage-controlled oscillation via potential manipulation and engineered TSO configurations enabling deterministic quantum simulations, awaiting experimental verification.

This paper represents the third major installment in the Time–Space Oscillation series, following prior work on TSO mathematics and its gravitational and centrifugal implications. It lays the foundation for forthcoming research deriving quantum mechanics from the TSO framework, completing a deterministic bridge between relativity, electromagnetism, and quantum behavior.

Version 0.953 

Reverted Version 0.952 to 0.951.  

Version 0.951 –  Added addendum
Added addendum with reason for the starting version instability, i.e. clearifiy the unsharpness between TSO of fermions and massfull objects. The maindocument was unchanged.

Version 0.95 – Correction and further clearification on ωTSO frequency and E+cBi equivalent with T+cSi

Corrected 2.3 

Correction 2.6 - Making Mass dependend, speed dependent and Gravitation dependent changes in frequency more clear and corrects a normalisation to electron mass misconception

Rewritten 2.7 And combined subsequent 2 subsections.

Rewritten Coupling Between Electromagnetic and Time dilation to match wording of new 2.6 and 2.7 and added reference where the velocity component goes

 

Version 0.94 – Minor correction

ωTSO frequency corrected for Massive particles/objects.

Version 0.93 – Correction and Clarification Notes

This update includes the following corrections and clarifications to the previously published version (v0.92):

  1. TSO–Electromagnetic Frequency Correspondence:

    • Explicitly defined the transformation between electromagnetic angular frequency ωEM and intrinsic TSO frequency ωTSO including the Lorentz factor and Compton wavelength considerations.

  2. Voltage, Current, Power, and Energy Section:

    • Clarified the use of context-dependent modulation functions f(C) and g(C) linking classical EM observables to TSO components.

    • Updated tables to reflect proper frequency correspondence in TSO projections.

  3. Flux, Faraday Induction, and Rotational Operators:

    • Restated magnetic flux, induced voltage, and curl expressions explicitly in the TSO framework.

    • Highlighted the geometric origin of curl from temporal–spatial oscillations.

  4. Complex Time Representation in Potential Fields:

    • Confirmed the correspondence between local potential U and TSO oscillation frequency ωU.

  5. Electromagnetic Wave Propagation Section:

    • Corrected the dual-field representation paragraph to emphasize the linear correspondence between EM and TSO domains.

  6. Legend of Symbols:

    • Updated entries to reflect correct units, normalized components, and explicit frequency transformations.

This version ensures full coherence between classical electromagnetic notation and the underlying TSO formalism, with all relevant equations and tables updated.

This introduction work on TSO is part of the following key works:

  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.

    For an overview of related work and publications, visit:
    https://ndl1971.github.io/time-space-oscillations/

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Publication: 10.5281/zenodo.18328394 (DOI)
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Publication: 10.5281/zenodo.17671564 (DOI)

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2025-11-14
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References

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