Das, Sauryahttps://hdl.handle.net/10133/35872019-07-18T21:34:40Z2019-07-18T21:34:40ZDiscreteness of space from GUP in a weak gravitational fieldDeb, SoumenDas, SauryaVagenas, Elias C.https://hdl.handle.net/10133/53322019-04-24T05:06:06Z2016-01-01T00:00:00ZDiscreteness of space from GUP in a weak gravitational field
Deb, Soumen; Das, Saurya; Vagenas, Elias C.
Quantum gravity effects modify the Heisenberg's uncertainty principle to a generalized uncertainty principle (GUP). Earlier work showed that the GUP-induced corrections to the SchrĂ¶dinger equation, when applied to a non-relativistic particle in a one-dimensional box, led to the quantization of length. Similarly, corrections to the Kleinâ€“Gordon and the Dirac equations, gave rise to length, area and volume quantizations. These results suggest a fundamental granular structure of space. In this work, it is investigated how spacetime curvature and gravity might influence this discreteness of space. In particular, by adding a weak gravitational background field to the above three quantum equations, it is shown that quantization of lengths, areas and volumes continue to hold. However, it should be noted that the nature of this new quantization is quite complex and under proper limits, it reduces to cases without gravity. These results suggest that quantum gravity effects are universal.
Sherpa Romeo green journal. Open access article. Creative Commons Attribution 4.0 International License (CC BY 4.0) applies.
2016-01-01T00:00:00ZElectromagnetic charge-monopole versus gravitational scattering at Planckian energiesDas, SauryaMajumdar, Parthasarathihttps://hdl.handle.net/10133/45662019-05-12T22:05:18Z1994-01-01T00:00:00ZElectromagnetic charge-monopole versus gravitational scattering at Planckian energies
Das, Saurya; Majumdar, Parthasarathi
The amplitude for the scattering of a point magnetic monopole and a point charge, at center-of-
mass energies much larger than the masses of the particles, and in the limit of low momentum
transfer, is shown to be proportional to the (integer-valued) monopole strength, assuming the Dirac
quantization condition for the monopole-charge system. It is demonstrated that, for small momentum
transfer, charge-monopole electromagnetic effects remain comparable to those due to the
gravitational interaction between the particles even at Planckian center-of-mass energies.
Sherpa Romeo green journal. Permission to archive final published version.
1994-01-01T00:00:00ZElectromagnetic and gravitational scattering at Planckian energiesDas, SauryaMajumdar, Parthasarathihttps://hdl.handle.net/10133/45652019-05-12T22:06:56Z1995-01-01T00:00:00ZElectromagnetic and gravitational scattering at Planckian energies
Das, Saurya; Majumdar, Parthasarathi
The scattering of pointlike particles at a very large center-of-mass energies and fixed low momentum transfers, occurring due to both their electromagnetic and gravitational interactions, is reexamined in the particular case when one of the particles carries a magnetic charge. At Planckian center-of-mass energies, when gravitational dominance is usually expected, the presence of magnetic charge is show to produce dramatic modifications to the scattering cross section as well as to holomorphic structure of the scattering amplitude.
Sherpa Romeo green journal. Permission to archive final published version
1995-01-01T00:00:00ZShock wave mixing in Einstein and dilaton gravityDas, SauryaMajumdar, Parthasarathihttps://hdl.handle.net/10133/44702019-04-09T02:27:00Z1995-01-01T00:00:00ZShock wave mixing in Einstein and dilaton gravity
Das, Saurya; Majumdar, Parthasarathi
We consider possible mixing of electromagnetic and gravitational shock waves, in the Planckian energy scattering of point
particles in Minkowski space, By boosting a Reissner-Nordstriim black hole solution to the velocity of light, it is shown
that no mixing of shock waves takes place for arbitrary finite charge carried by the black hole. However, a similar boosting
procedure for a charged black hole solution in dilaton gravity yields some mixing: the wave function of even a neutral test
particle, acquires a small additional phase factor depending on the dilalonic black hole charge. Possible implications for poles
in the amplitudes for the dilaton gravity case are discussed
Sherpa Romeo green journal. Open access article. Creative Commons Attribution License (CC BY) applies.
1995-01-01T00:00:00Z