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Inertial mass = gravitational mass, what about momentum?

2012/11/10 by Xiang-Song Chen, Chen, Xiang-Song
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.1211.2360

openalex publication_date 2012/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It has been tested precisely that the inertial and gravitational masses are equal. Here we reveal that the inertial and gravitational momenta may differ. More generally, the inertial and gravitational energy-momentum tensors may not coincide: Einstein's general relativity requires the gravitational energy-momentum tensor to be symmetric, but we show that a symmetric inertial energy-momentum tensor would ruin the concordance between conservations of quantized energy and charge. The nonsymmetric feature of the inertial energy-momentum tensor can be verified unambiguously by measuring the transverse flux of a collimated spin-polarized electron beam, and leads to a serious implication that the equivalence principle and Einstein's gravitational theory cannot be both exact.

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