Quantum Physics

   

Complex Spacetime and the Schrödinger Equation: Toward a Quantum-Electromagnetic Unification

Authors: Bhushan Poojary

In this paper, we extend the formulation of the Schrödinger equation into the complex spacetime framework, introducing a novel approach that bridges quantum mechanics, electromagnetism, and general relativity. By incorporating complex derivatives and applying the Cauchy-Riemann conditions, we reveal that the imaginary components of spacetime contribute to quantum fluctuations, while the real components govern classical behavior. This framework naturally connects the imaginary curvature of spacetime to electromagnetic field dynamics, suggesting that electromagnetic phenomena could emerge from the geometry of complex spacetime.We demonstrate that the imaginary Ricci tensor, derived from the curvature of the imaginary spacetime dimensions, aligns with the mathematical structure of Maxwell's equations in curved spacetime. This connection implies a geometric origin of electromagnetism, where quantum fluctuations arise from the imaginary curvature of spacetime. Furthermore, the preservation of standard quantum commutation relations within this framework suggests consistency with established quantum mechanical principles.

Comments: 15 Pages. (Note by viXra Admin: Author name should be separately listed after the article title)

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[v1] 2025-02-24 03:25:13

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