The Quantum World is an AdS_5 with the Quantum Relativity Symmetry SO(2,4)

Details The Quantum World is an AdS_5 with the Quantum Relativity Symmetry SO(2,4) The Quantum World is an AdS_5 with the Quantum Relativity Symmetry SO(2,4)

2007-05-07

arxiv.org/abs/0705.0845v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages of revtex, no figure;a largely rewritten presentation of the same results

Scientific paper

Quantum relativity as a generalized, or rather deformed, version of Einstein relativity with a linear realization on a classical six-geometry beyond the familiar setting of space-time offer a new framework to think about the quantum space-time structure. The formulation requires two deformations to be implemented through imposing two fundamental invariants. We take them to be the independent Planck mass and Planck length. Together, they gives the quantum $\hbar$. The scheme leads to {\small \boldmath\protect SO(2,4)} as the relativity symmetry. The quantum world has an AdS$_5$ `classical' geometry, which is parallel to the "conformal universe", but not scale invariant.

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