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Temporal Entanglement Swapping and Topological Memory in the Large Scale Limit of QGEFT

Yaniv Cohen

Published Jul 19, 2026• 0 citations
Publisher

Abstract

The current Paper 75 benchmark does not claim that full continuum quantum gravity or laboratory entanglement swapping has already been derived on a graph. It does show that the verified QGEFT temporal entanglement engine reproduces the Megidish-Eisenberg (2013) result: particle D, created *after* particle A was destroyed, inherits A's topological fingerprint through the scar region with composite similarity **0.9379** and **Z=3.56** ($>2\sigma$, null $\mu=0.8163\pm0.0342$). The control measurement (A↔C, where C was placed far from A's scar) shows a lower similarity of 0.8502, proving the memory is spatially localized. At $N\le64$, the signal drowns in background noise (null similarity $\approx0.93$), confirming that $N\ge256$ is required for clean topological memory emergence. The defensible conclusion is that entanglement is a statistical correlation preserved in the dynamic memory of quantum spacetime—not a physical thread stretched through space.

DOI
10.5281/zenodo.21443800

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The current Paper 75 benchmark does not claim that full continuum quantum gravity or laboratory entanglement swapping has already been derived on a graph. It does show that the verified QGEFT temporal entanglement engine reproduces the Megidish-Eisenberg (2013) result: particle D, created after particle A was destroyed, inherits A's topological fingerprint through the scar region with composite similarity 0.9379 and Z=3.56 (>2σ>2\sigma>2σ, null μ=0.8163±0.0342\mu=0.8163\pm0.0342μ=0.8163±0.0342). The control measurement (A↔C, where C was placed far from A's scar) shows a lower similarity of 0.8502, proving the memory is spatially localized. At N≤64N\le64N≤64, the signal drowns in background noise (null similarity ≈0.93\approx0.93≈0.93), confirming that N≥256N\ge256N≥256 is required for clean topological memory emergence. The defensible conclusion is that entanglement is a statistical correlation preserved in the dynamic memory of quantum spacetime—not a physical thread stretched through space.
Paper 78 does not claim that the continuum limits of quantum field theory, general relativity, or the Standard Model have been fully derived. It claims a narrower but still powerful result: five cornerstone phenomena of modern physics—wave-particle duality, interference, entanglement, gravity, and electromagnetism—all emerge naturally from a single computational engine (Monte Carlo edge-swap on a discrete graph minimizing E=∑(ki−k0)2E = \sum (k_i - k_0)^2E=∑(ki​−k0​)2) without coding any of the standard equations (Schrödinger, Einstein, Maxwell) into the experiments. The 5-for-5 outcome provides strong computational evidence that the QGEFT paradigm of "All forces = Local Optimization + Topology" is both viable and quantitatively testable.
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.
Quantum entanglement is the topological memory of the Big Bang nucleation event. Particles share a common fixed line in 5D phase space — confirmed at laboratory scale by the first observation of classical fixed lines in the CERN SPS (Bartosik, Franchetti & Schmidt, Nature Physics 2024). Structural ladder: SPS fixed line (4D phase space, visible in mixed planes as Lissajous figures) corresponds to quantum entanglement (Hilbert space, visible in joint measurements as Bell violations) and to the cosmological focal manifold (brane x bulk, visible in rotation curves and MOND). Octonionic non-associativity (ei.ej).ek ≠ ei.(ej.ek) is the algebraic basis of non-factorizability at all scales. The 5D bulk provides a Bell-consistent geometric hidden variable. Decoherence = drift off focal manifold (D parameter); quantum error correction = sextupole engineering of focal geometry. Predictions 48 and 49 derived. Part of the One Octonion brane-bulk series (Papers I-XL), anchor DOI:10.5281/zenodo.19120873.
Following the geometric derivation of the Lepton Mass Spectrum in the first paper of this series (TTS I), this work addresses the dynamic origins of the "Stitching" mechanism to resolve the measurement problem and quantum non-locality. We postulate that Rest Mass is the physical manifestation of Temporal Zitterbewegung---a micro-oscillatory search for causal connectivity driven by the metric expansion of the underlying causal network. By treating the particle not as a point but as a temporal oscillator, we show that the spatial projection of this oscillation naturally generates a Feynman-like "Cone of Threads" (potential paths). We derive the Born Rule (P ∝ |Ψ|2) as the geometric cross-section of this causal search pattern. Furthermore, we demonstrate that Quantum Entanglement is not superluminal communication, but a Global Topological Constraint on a single bifurcated thread. The selection of a valid history at one endpoint instantaneously restricts the topological validity of the other, resolving the EPR paradox through geometric conservation laws while strictly preserving no-signaling constraints.
The current Paper 46 benchmark does not claim that full continuum quantum electrodynamics, exact fermionic statistics, or a literal microscopic derivation of all chemistry have already been completed inside QGEFT. It does show that the framework now supports a coherent algorithmic interpretation of three core quantum phenomena in one place: spin as information chirality, Pauli exclusion as collision avoidance, and repulsive force as the macroscopic shadow of rejected Monte Carlo proposals. The empirical anchor is the verified Paper 34 covalent-bond benchmark, where the isolated baseline energy `11.6759` drops into a bond minimum `9.5200` at `d ≈ 1.0` and then rises sharply to `14.9835` at `d = 0.8` and `52.0309` at `d = 0.6`. The defensible conclusion is therefore that QGEFT can already encode bonding and exclusion as local routing admissibility rules on a discrete information substrate.
The current Paper 71 benchmark does not claim that a full quantum optics laboratory or complete quantum information theory has been derived from first principles inside QGEFT. It does show that the QGEFT vacuum supports a concrete, reproducible topological teleportation channel via the ER=EPR mechanism. The `diamond` motif provides the critical "Goldilocks" balance between rarity (0 background at target) and fragility (collapses at sweep 5 under measurement stress). In both T=0.25 and T=0.35 benchmarks, the Metropolis engine deterministically routes the geometric information through the wormhole: the source motif at A collapses at sweep 5 (ΔEA=15.206→13.571\Delta E_A = 15.206 \to 13.571ΔEA​=15.206→13.571), and exactly one sweep later, the identical diamond motif reconstructs at remote target C. The No-Cloning Theorem emerges automatically as a thermodynamic constraint—maintaining two copies is energetically disfavored.