Macroscopic body in the Snyder space and minimal length estimation

The Area Quantum and Snyder Space

We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.

Quantum Mechanics in Snyder Space

QUANTUM MECHANICS IN SNYDER SPACE

the phenomenology of body and space in depression

Hilbert space representation of the minimal length uncertainty relation.

The existence of a minimal observable length has long been suggested in quantum gravity as well as in string theory. In this context a generalized uncertainty relation has been derived which quantum theoretically describes the minimal length as a minimal uncertainty in position measurements. Here we study in full detail the quantum mechanical structure which underlies this uncertainty relation....

Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics

We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (u...