#### Hall 123

#### Invariant ultraviolet scale correction to photon dynamics, degenerate Fermi gas and its possible implications

#### Dheeraj Kumar Mishra

##### IMSc

*We consider the invariant ultraviolet scale modied/deformed Poincare*

algebra proposed by Magueijo and Smolin and study the possible implica-

tions to the known physics. We get such a scale modied dispersion rela-

tion and an eective invariant ultraviolet energy cut-o. We study various

equilibrium thermodynamic properties of blackbody radiation (i.e. a pho-

ton gas) and degenerate fermions with such modications. The energy

density, specic heat etc. of the photon gas follows the usual acoustic

phonon dynamics as have been well studied by Debye. Other modied

thermodynamic quantities like pressure, entropy etc. also get the correc-

tion. The usual Stefan-Boltzmann law gets modied. The invariant scale

can be taken as Planck scale and Planck scale acts as a threshold where

a new description of spacetime is expected to appear. The phase-space

measure is also expected to get modied for an exotic spacetime appearing

at Planck scale, which in turn leads to the modication of Planck energy

density distribution and the Wien's displacement law. We also found that

the non-perturbative nature of the thermodynamic quantities in the SR

limit (for both the case with ultraviolet cut-o and the modied measure

case), due to nonanalyticity of the leading term, is a general feature of the

theory accompanied with an ultraviolet energy cut-o. We also study the

modied thermodynamics of the degenerate Fermi gas. As an example we

explore the dynamics of the compact stellar object such as white dwarf by

nding the modied degenerate pressure and the modied Chandrasekhar

limit.

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