Temporal Entanglement as the Fundamental Mechanism: Spatial Non-Locality as a Projection

Quantum entanglement is traditionally framed as spatial non-locality: two particles at arbitrary separation maintain correlated states, with measurement of one instantaneously affecting the other. We propose a reformulation: entanglement is fundamentally a temporal phenomenon — a synchronization of quantum phases via universal harmonic oscillations. Spatial entanglement is recovered as the special case where both particles are created at the same time and location. Three independent experiments support this framework: (1) Megidish et al. (2013) demonstrated entanglement between photons that never coexisted; (2) temporal qubit encoding (|𝜓⟩ = 𝛼|early⟩ + 𝛽|late⟩) achieves full quantum information capacity; (3) Jiang et al. (2024) measured entanglement formation taking 232 attoseconds — the time for a wave to establish phase coherence. In the Fractal Mechanics framework, all particles oscillate at Fibonacci-harmonic frequencies 𝜔_𝑛 = 𝜔_𝑃×(𝜑^−𝑛), and entanglement is their synchronization to common harmonics. This formulation predicts that entanglement fidelity is maximized for time separations Δ𝑡_𝑛 = 𝑇₀/𝜑^𝑛 (Fibonacci timing), testable with current attosecond technology.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-19
DOI
https://doi.org/10.5281/zenodo.20286958
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Temporal Entanglement as the Fundamental Mechanism: Spatial Non-Locality as a Projection

Rémi Leroy
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Temporal Entanglement as the Fundamental Mechanism: Spatial Non-Locality as a Projection

Rémi Leroy
preprint en

Abstract

Quantum entanglement is traditionally framed as spatial non-locality: two particles at arbitrary separation maintain correlated states, with measurement of one instantaneously affecting the other. We propose a reformulation: entanglement is fundamentally a temporal phenomenon — a synchronization of quantum phases via universal harmonic oscillations. Spatial entanglement is recovered as the special case where both particles are created at the same time and location. Three independent experiments support this framework: (1) Megidish et al. (2013) demonstrated entanglement between photons that never coexisted; (2) temporal qubit encoding (|𝜓⟩ = 𝛼|early⟩ + 𝛽|late⟩) achieves full quantum information capacity; (3) Jiang et al. (2024) measured entanglement formation taking 232 attoseconds — the time for a wave to establish phase coherence. In the Fractal Mechanics framework, all particles oscillate at Fibonacci-harmonic frequencies 𝜔_𝑛 = 𝜔_𝑃×(𝜑^−𝑛), and entanglement is their synchronization to common harmonics. This formulation predicts that entanglement fidelity is maximized for time separations Δ𝑡_𝑛 = 𝑇₀/𝜑^𝑛 (Fibonacci timing), testable with current attosecond technology.

Zenodo (CERN European Organization for Nuclear Research)
Consorcio Hospitalario Provincial de Castellón (ES)
Quantum Mechanics and Applications
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