Physical Formalism Of Directional Quantum Evolution Theory

Tarek Yehia

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arXiv · 2504.20100

Physical Formalism Of Directional Quantum Evolution Theory

Tarek Yehia

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Abstract

Here, we introduce the Directional Quantum Evolution Theory (DQET), a covariant reformulation of quantum mechanics where evolution takes place along a four-vector-defined arbitrary timelike direction. This method restores space-time symmetry and provides a geometric interpretation of energy as a frame-dependent projection by substituting a directional derivative for the traditional time derivative. DQET establishes a conserved probability current, supports proper-time evolution, and recovers the Schrodinger in suitable bounds. It provides a covariant solution to the quantum twin conundrum and predicts observable phase discrepancies between systems traveling along distinct trajectories. With encouraging extensions to curved spacetime, the theory offers a cohesive framework for relativistic quantum evolution.

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Tarek Yehia. 2025-04-26. Physical Formalism Of Directional Quantum Evolution Theory. https://arxiv.org/abs/2504.20100

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