Thermodynamic Remnants in Black-hole Evaporation
We show that black-hole remnant scenario naturally arises in the original computations of Hawking without extra assumptions.
hep-th↗
arXiv subjects
Abhishek Kumar Mehta
Publications and source records attributed to Abhishek Kumar Mehta.
Breaching the light barrier without paradoxes
In this paper, we propose the regularization principle that resolves the temporal paradoxes associated with faster-than-light particles or tachyons at the macroscopic scale. The principle involves using the properties of the $ζ$-function to regularize the unphysical momenta of tachyons that moves backwards in-time as an infinite sum of physical tachyon momenta that travel forwards in-time. Since, the tachyon moves forward in-time in all interial frames, this ensures that the tachyon processes are paradox-free without invoking the Reinterpretation Principle (RIP). Apart from resolving these paradoxes associated with faster-than-light particles, its other notable consequences especially pertaining to the censorship of naked singularities and faster-than-light communication are also discussed.
physics.gen-ph↗
Path Integral approach to Black-hole Evaporation and Accretion
In this paper, we investigate evaporation and accretion of uncharged, non-rotating, spherically symmetric black-holes from the path integral perspective. We show that the effective actions derived using the path integral techniques incorporate both accreting and evaporating configurations, thus presenting a novel methodology to study black-hole accretion and evaporation in $4D$ on the same footing. We specifically focus on evaporating configurations which deviate from the standard thermodynamic modes of black-hole evaporation.
hep-th↗
Heat Kernel methods in the first-order formalism
In this paper, we extend the heat kernel methods to the first-order formalism of gravity, specifically, in the language of differential forms. This allows us to compute the effective dynamics of 4D gravity when the tetrad degrees of freedom are integrated out. We show that the resulting effective field theory is the Lorentz gauge theory.
hep-th↗
Necessity of Quantizable Geometry for Quantum Gravity
In this paper, Dirac Quantization of $3D$ gravity in the first-order formalism is attempted where instead of quantizing the connection and triad fields, the connection and the triad 1-forms themselves are quantized. The exterior derivative operator on the space of differential forms is treated as the `time' derivative to compute the momenta conjugate to these 1-forms. This manner of quantization allows one to compute the transition amplitude in $3D$ gravity which has a close, but not exact, match with the transition amplitude computed via LQG techniques. This inconsistency is interpreted as being due to the non-quantizable nature of differential geometry.
gr-qc↗
Gateway-like absurdly-benign traversable wormhole solutions
A class of wormhole solutions is constructed that has restricted polar degrees of freedom to achieve a gateway-like configuration. This compels the use of distribution-valued metrics and connections which further compels the use of neutrix product of distributions, to define distribution-valued curvature, Einstein tensor, and other relevant quantities. The solution demands a spacetime with non-Riemannian effects like non-metricity to be consistent and well-defined, due to the non-associativity of the neutrix product. Finally, the ideal gateway configuration where the negative energy requirement is zero is derived.
gr-qc↗