NDLI: Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences

Content Provider	Springer Nature Link
Author	Zloshchastiev, K. G.
Copyright Year	2010
Abstract	Starting from a generic generally covariant quantum theory, we introduce a logarithmic correction to the quantum wave equation. We demonstrate the emergence of evolution time from the group of automorphisms of the von Neumann algebra governed by this nonlinear correction. It turns out that such a parametrization of time is essentially energy-dependent and becomes global only asymptotically, as the energies become very small as compared to the effective quantum gravity scale. A similar thing happens to Lorentz invariance: in the resulting theory it becomes an asymptotic low-energy phenomenon. We show how the logarithmic nonlinearity deforms the vacuum wave dispersion relations and explains certain features of the astrophysical data coming from the recent observations of high-energy cosmic rays. In general, the estimates imply that, ceteris paribus, particles with higher energy propagate slower than those with lower energy, therefore, for a high-energy particle the mean free path, lifetime in a high-energy state and thus the travel distance from the source can be significantly larger than one would expect from the conventional theory. In addition, we discuss the possibility and conditions of transluminal phenomena in the physical vacuum such as Cherenkov-type shock waves.
Starting Page	288
Ending Page	297
Page Count	10
File Format	PDF
ISSN	02022893
Journal	Gravitation and Cosmology
Volume Number	16
Issue Number	4
e-ISSN	19950721
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-11-25
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Quantum Physics Astrophysics and Astroparticles Astronomy, Observations and Techniques Classical and Quantum Gravitation, Relativity Theory
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics

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