TL;DR
This paper explores how deformed special relativity (DSR), which modifies the speed of light to depend on energy, can explain cosmological structure formation through a varying speed of sound, providing a universal Lorentz group representation.
Contribution
It identifies the specific non-linear Lorentz group representation in DSR that results in scale-invariant density fluctuations in cosmology.
Findings
Universal Lorentz group representation for scale-invariance
Connection between DSR and varying speed of sound in cosmology
Framework for higher order field theory modeling DSR effects
Abstract
Deformed special relativity (DSR) is one of the possible realizations of a varying speed of light (VSL). It deforms the usual quadratic dispersion relations so that the speed of light becomes energy dependent, with preferred frames avoided by postulating a non-linear representation of the Lorentz group. The theory may be used to induce a varying speed of sound capable of generating (near) scale-invariant density fluctuations, as discussed in a recent Letter. We identify the non-linear representation of the Lorentz group that leads to scale-invariance, finding a universal result. We also examine the higher order field theory that could be set up to represent it.
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