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.
Signals for lorentz violation in gravitational waves,
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Modified dispersion from isotropic Lorentz-violating operators in the gravitational SME produces birefringence and polarization mixing in gravitational waves, with explicit waveforms for binary black holes and new bounds on the coefficients from GW170817 and GWTC-3 data.
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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.
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Propagation effects of Lorentz violation in gravitational waves
Modified dispersion from isotropic Lorentz-violating operators in the gravitational SME produces birefringence and polarization mixing in gravitational waves, with explicit waveforms for binary black holes and new bounds on the coefficients from GW170817 and GWTC-3 data.