An Equation of Motion with Quantum Effect in Spacetime

2009/05/26 by Jyh-Yang Wu, Wu, Jyh-Yang
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #gr-qc

paper · pdf · doi:10.48550/arxiv.0905.4104

15 pages

arxiv created 2009/05/26 · openalex publication_date 2009/05/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we shall present a new equation of motion with Quantum effect in spacetime. To do so, we propose a classical-quantum duality. We also generalize the Schordinger equation to the spacetime and obtain a relativistic wave equation. This will lead a generalization of Einstein's formula E=m₀c² in the spacetime. In general, we have E=m₀c² + (ℏ²)/(12m₀)R in a spacetime.

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