Solution to the EPR Paradox Via Temporal Multiplexing and Impedance Addressing. The Communication Window in General Relativity as a Quantum Theory
Abstract
This work extends the geometric ontology established in the previous volumes of General Relativity as a Quantum Theory (RGTQ), volumes Vol.VI, Vol.VII, to resolve the fundamental problem of interaction selectivity and local coexistence in a globally connected spacetime lattice. Through the rigorous application of the \textit{Foundations of Spectral Physics} (FFE) to the dynamic metric, we mathematically deduce that the local energy density does not saturate the Planck volume due to a mechanism of **Geometric Temporal Multiplexing**. We demonstrate that quantum states with distinct harmonic frequencies ($n, 200n$) maintain phase orthogonality by sampling the lattice in disjoint time windows, analogous to 't Hooft's discrete automata. In the non-local regime, we derive the mechanism of **Impedance Addressing** to solve the selection problem in entanglement. Rejecting the transmission of superluminal signals, we prove that the EPR connection occurs through topological torsion channels where the effective metric is nullified for a specific resonance frequency. We deduce the analytical formula for this **Signature Frequency** ($f_{ent}$), modulating the natural carrier of the *Zitterbewegung* ($2mc^2/h$) by the path integral of the gravitomagnetic holonomy and the medium's impedance ($Z_{geom}$). This formalism unifies Couder's hydrodynamic path memory and De Broglie's phase coherence under a single variational principle. It is concluded that the universe preserves relativistic locality for energy transport ($v \leq c$), while sustaining instantaneous global connectivity for phase, governed strictly by the impedance matching of topological channels.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Quantum Mechanics and Applications
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 January 2026
- Document type
- Preprint