Gravity of two photon decay and its quantum coherence
Abstract
A linear analytical solution is derived for the gravitational shock wave produced by a particle of mass M that decays into a pair of null particles. The resulting space-time is shown to be unperturbed and isotropic, except for a discontinuous perturbation on a spherical null shell. Formulae are derived for the perturbation as a function of polar angle, as measured by an observer at the origin observing clocks on a sphere at distance R. The effect of the shock is interpreted physically as an instantaneous displacement in time and velocity when the shock passes the clocks. The time displacement is shown to be anisotropic, dominated by a quadrupole harmonic aligned with the particle-decay axis, with a magnitude δτ ~ GM/c3, independent of R. The velocity displacement is isotropic. The solution is used to derive the gravitational effect of a quantum state with a superposition of a large number of randomly oriented, statistically isotropic particle decays. This approach is shown to provide a well-controlled approximation to estimate the magnitude of gravitational fluctuations in systems composed of null point particles up to the Planck energy in a causal diamond of duration τ = 2R/c, as well as quantum-gravitational fluctuations of black holes and cosmological horizons. Coherent large-angle quantum distortions of macroscopic geometry from fluctuations up to the Planck scale are shown to grow linearly with the duration, with a variance $$\langle$$δτ2$$\rangle$$ ~ τtP much larger than that produced in models without causal quantum coherence.
- Authors:
-
[1];
[2]
- Univ. of Chicago, IL (United States)
- Univ. of Chicago, IL (United States) ; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1824800
- Report Number(s):
- FERMILAB-PUB-21-329-AE; arXiv:2108.03264
Journal ID: ISSN 0264-9381; oai:inspirehep.net:1901820; TRN: US2215715
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Classical and Quantum Gravity
- Additional Journal Information:
- Journal Volume: 39; Journal Issue: 7; Journal ID: ISSN 0264-9381
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Mackewicz, Kris, and Hogan, Craig. Gravity of two photon decay and its quantum coherence. United States: N. p., 2022.
Web. doi:10.1088/1361-6382/ac5377.
Mackewicz, Kris, & Hogan, Craig. Gravity of two photon decay and its quantum coherence. United States. https://doi.org/10.1088/1361-6382/ac5377
Mackewicz, Kris, and Hogan, Craig. Tue .
"Gravity of two photon decay and its quantum coherence". United States. https://doi.org/10.1088/1361-6382/ac5377. https://www.osti.gov/servlets/purl/1824800.
@article{osti_1824800,
title = {Gravity of two photon decay and its quantum coherence},
author = {Mackewicz, Kris and Hogan, Craig},
abstractNote = {A linear analytical solution is derived for the gravitational shock wave produced by a particle of mass M that decays into a pair of null particles. The resulting space-time is shown to be unperturbed and isotropic, except for a discontinuous perturbation on a spherical null shell. Formulae are derived for the perturbation as a function of polar angle, as measured by an observer at the origin observing clocks on a sphere at distance R. The effect of the shock is interpreted physically as an instantaneous displacement in time and velocity when the shock passes the clocks. The time displacement is shown to be anisotropic, dominated by a quadrupole harmonic aligned with the particle-decay axis, with a magnitude δτ ~ GM/c3, independent of R. The velocity displacement is isotropic. The solution is used to derive the gravitational effect of a quantum state with a superposition of a large number of randomly oriented, statistically isotropic particle decays. This approach is shown to provide a well-controlled approximation to estimate the magnitude of gravitational fluctuations in systems composed of null point particles up to the Planck energy in a causal diamond of duration τ = 2R/c, as well as quantum-gravitational fluctuations of black holes and cosmological horizons. Coherent large-angle quantum distortions of macroscopic geometry from fluctuations up to the Planck scale are shown to grow linearly with the duration, with a variance $\langle$δτ2$\rangle$ ~ τtP much larger than that produced in models without causal quantum coherence.},
doi = {10.1088/1361-6382/ac5377},
journal = {Classical and Quantum Gravity},
number = 7,
volume = 39,
place = {United States},
year = {Tue Mar 08 00:00:00 EST 2022},
month = {Tue Mar 08 00:00:00 EST 2022}
}
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