The Minimal Length and Large Extra Dimensions

Abstract

Planck scale physics represents a future challenge, located between particle physics and general relativity. The Planck scale marks a threshold beyond which the old description of spacetime breaks down and conceptually new phenomena must appear. Little is known about the fundamental theory valid at Planckian energies, except that it necessarily seems to imply the occurrence of a minimal length scale, providing a natural ultraviolet cutoff and a limit to the possible resolution of spacetime.Motivated by String Theory, the models of large extra dimensions lower the Planck scale to values soon accessible. These models predict a vast number of quantum gravity effects at the lowered Planck scale, among them the production of TeV-mass black holes and gravitons. Within the extra dimensional scenario, also the minimal length comes into the reach of experiment and sets a fundamental limit to short distance physics.We review the status of Planck scale physics in these effective models.

Casimir effect in the presence of minimal lengths

“…On the other hand some scenarios have been proposed where non zero minimal length is related to large eXtra dimensions [7], to the running coupling constant [8] and to the physics of black holes production [9].…”

No existence of black holes at LHC due to minimal length in quantum gravity

“…[29], however the previous studies predicted that BH's can be seen at the LHC energy scales in disagreement with the recent experimental results of LHC [1,2]. The suppressed black hole production has been studied with with different approaches such as the non commutative geometry and minimal length theories [30].…”

Minimal Length and Generalized Dirac Equation

“…Consequences of such a gravitational uncertainty principle (GUP), has been studied extensively [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25]. Here we proceed some more step in this direction.…”