Spectral Universality of Turbulent Fluctuations in Relativistic Flows

Fuente: arXiv
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Autor principal: Tevzadze, Alexander G.
Formato: Preprint
Publicado: 2026
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author Tevzadze, Alexander G.
author_facet Tevzadze, Alexander G.
contents We develop a Lorentz-covariant framework for projecting spacetime spectra into temporal spectra of stationary turbulent fluctuations in relativistic flows. For self-similar spacetime spectra, we derive a universal scaling relation, $α= β- D$, where $α$ is the temporal spectral index, $β$ the spacetime homogeneity exponent, and $D$ the effective dimensionality of spectral support. We further demonstrate that this universality breaks down when spacetime homogeneity is violated. Temporal spectra in relativistic flows are thus intrinsically nonlocal observables, requiring a covariant projection framework that establishes a general principle for spectral inference in relativistic plasma turbulence and high-energy plasma flows.
format Preprint
id arxiv_https___arxiv_org_abs_2602_23195
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Spectral Universality of Turbulent Fluctuations in Relativistic Flows
Tevzadze, Alexander G.
High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Plasma Physics
We develop a Lorentz-covariant framework for projecting spacetime spectra into temporal spectra of stationary turbulent fluctuations in relativistic flows. For self-similar spacetime spectra, we derive a universal scaling relation, $α= β- D$, where $α$ is the temporal spectral index, $β$ the spacetime homogeneity exponent, and $D$ the effective dimensionality of spectral support. We further demonstrate that this universality breaks down when spacetime homogeneity is violated. Temporal spectra in relativistic flows are thus intrinsically nonlocal observables, requiring a covariant projection framework that establishes a general principle for spectral inference in relativistic plasma turbulence and high-energy plasma flows.
title Spectral Universality of Turbulent Fluctuations in Relativistic Flows
topic High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Plasma Physics
url https://arxiv.org/abs/2602.23195