A multifractional modified dispersion relation ω² = k² + 4 E_*^{-1/2} k^{5/2} produces an effective density-of-states dimension of 12/5, deforming the Stefan-Boltzmann law to u ∝ E_*^{3/5} T^{17/5} and the equation-of-state parameter to w = 5/12 in the ultraviolet regime.
Higher-derivative Lorentz-breaking dispersion relations: a thermal description
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Thermodynamic and statistical properties of a multifractional modified dispersion relation via the grand-canonical ensemble
A multifractional modified dispersion relation ω² = k² + 4 E_*^{-1/2} k^{5/2} produces an effective density-of-states dimension of 12/5, deforming the Stefan-Boltzmann law to u ∝ E_*^{3/5} T^{17/5} and the equation-of-state parameter to w = 5/12 in the ultraviolet regime.