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General Relativity and Quantum Cosmology

arXiv:1812.05595 (gr-qc)
[Submitted on 13 Dec 2018 (v1), last revised 16 Apr 2019 (this version, v3)]

Title:Lorentz invariant mass and length scales

Authors:Pasquale Bosso, Saurya Das
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Abstract:We show that the standard Lorentz transformations admit an invariant mass (length) scale, such as the Planck scale. In other words, the frame independence of such scale is built-in within those transformations, and one does not need to invoke the principle of relativity for their invariance. This automatically ensures the frame-independence of the spectrum of geometrical operators in quantum gravity. Furthermore, we show that the above predicts a small but measurable difference between the inertial and gravitational mass of any object, regardless of its size or whether it is elementary or composite.
Comments: 10 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1812.05595 [gr-qc]
  (or arXiv:1812.05595v3 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.1812.05595
Journal reference: Int.J.Mod.Phys. D, Vol. 28, No. 04, 1950068 (2019)
Related DOI: https://doi.org/10.1142/S0218271819500688

Submission history

From: Pasquale Bosso [view email]
[v1] Thu, 13 Dec 2018 18:59:46 UTC (22 KB)
[v2] Thu, 17 Jan 2019 23:54:39 UTC (22 KB)
[v3] Tue, 16 Apr 2019 17:48:53 UTC (22 KB)
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