Results 1 
3 of
3
Entropy in the Present and Early Universe: New Small Parameters and Dark Energy Problem
, 2010
"... entropy ..."
(Show Context)
The Stabilized PoincareHeisenberg algebra: a Clifford algebra viewpoint
, 2006
"... Abstract. The stabilized PoincareHeisenberg algebra (SPHA) is the Lie algebra of quantum relativistic kinematics generated by fifteen generators. It is obtained from imposing stability conditions after attempting to combine the Lie algebras of quantum mechanics and relativity which by themselves ar ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
(Show Context)
Abstract. The stabilized PoincareHeisenberg algebra (SPHA) is the Lie algebra of quantum relativistic kinematics generated by fifteen generators. It is obtained from imposing stability conditions after attempting to combine the Lie algebras of quantum mechanics and relativity which by themselves are stable, however not when combined. In this paper we show how the sixteen dimensional Clifford algebra Cℓ(1,3) can be used to generate the SPHA. The Clifford algebra path to the SPHA avoids the traditional stability considerations, relying instead on the fact that Cℓ(1,3) is a semisimple algebra and therefore stable. It is therefore conceptually easier and more straightforward to work with a Clifford algebra. The Clifford algebra path suggests the next evolutionary step toward a theory of physics at the interface of GR and QM might be to depart from working in spacetime and instead to work in spacetimemomentum. 1.
Possible polarisation and spin dependent aspects of quantum gravity
, 704
"... We argue that quantum gravity theories that carry a Lie algebraic modification of the Poincaré and Heisenberg algebras inevitably provide inhomogeneities that may serve as seeds for cosmological structure formation. Furthermore, in this class of theories one must expect a strong polarisation and spi ..."
Abstract
 Add to MetaCart
(Show Context)
We argue that quantum gravity theories that carry a Lie algebraic modification of the Poincaré and Heisenberg algebras inevitably provide inhomogeneities that may serve as seeds for cosmological structure formation. Furthermore, in this class of theories one must expect a strong polarisation and spin dependence of various quantumgravity effects. I. Introduction — Quantum gravity proposals often come with a modification of the Heisenberg, and Poincaré, algebras. Confining ourselves to Lie algebraic modifications, we argue that the underlying physical space of all such theories must be inhomogeneous. In order to establish this result, we first review how, within a quantum framework, the homogeneity and continuity of physical space lead inevitably to the Heisenberg algebra.