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A Proper-Time and Energy-Momentum Temporal-Deviation Condition for Electron Entanglement

Authors: Raja, Aqeel;

A Proper-Time and Energy-Momentum Temporal-Deviation Condition for Electron Entanglement

Abstract

This work presents a relativistic timing-layer extension to the standard two-electron entanglement framework. While preserving the conventional spin-singlet formalism and Bell-type correlations, the manuscript introduces a proper-time matching condition and an internal temporal-deviation variable (δT) as additional factors influencing entanglement behavior. The model reformulates the proposed mechanism in momentum and energy domains, enabling direct comparison with experimental datasets such as NIST atomic data and CERN/LHC event data. A key outcome is a falsifiable prediction: the strength of quantum correlations follows a Gaussian suppression envelope governed by an effective timing mismatch parameter (Δτ_eff) and a tolerance scale (σT). The framework does not claim to replace quantum mechanics, but instead proposes a testable extension that may explain pair-specific entanglement selection and correlation suppression under relativistic conditions. The manuscript includes numerical simulations, experimental comparison protocols, and a structured addendum that defines operational interpretations of the introduced variables. This work is presented as a preprint-level theoretical proposal aimed at bridging relativistic physics and quantum entanglement through an empirically testable timing structure.

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