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Particles 2018, 1(1), 138-154; https://doi.org/10.3390/particles1010010

Lorentz Invariance and the Zero-Point Stress-Energy Tensor

School of Mathematics and Statistics, Victoria University of Wellington, P.O. Box 600, Wellington 6140, New Zealand
Received: 7 April 2018 / Revised: 20 May 2018 / Accepted: 21 May 2018 / Published: 24 May 2018
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Abstract

Some 67 years ago (1951), Wolfgang Pauli noted that the net zero-point energy density could be set to zero by a carefully fine-tuned cancellation between bosons and fermions. In the current article, I will argue in a slightly different direction: the zero-point energy density is only one component of the zero-point stress energy tensor, and it is this tensor quantity that is in many ways the more fundamental object of interest. I shall demonstrate that Lorentz invariance of the zero-point stress energy tensor implies finiteness of the zero-point stress energy tensor, and vice versa. Under certain circumstances (in particular, but not limited to, the finite quantum field theories (QFTs)), Pauli’s cancellation mechanism will survive the introduction of particle interactions. I shall then relate the discussion to beyond standard model (BSM) physics, to the cosmological constant, and to Sakharov-style induced gravity. View Full-Text
Keywords: Lorentz invariance; zero-point stress–energy; zero-point energy density; zero-point pressure Lorentz invariance; zero-point stress–energy; zero-point energy density; zero-point pressure
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Visser, M. Lorentz Invariance and the Zero-Point Stress-Energy Tensor. Particles 2018, 1, 138-154.

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