Noncommutative geometry inspired entropic inflation

Topics in Noncommutative Geometry Inspired Physics

In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.

Noncommutative geometry inspired wormholes and dirty black holes

We provide new exact solutions of the Einstein equations which generalize the noncommutative geometry inspired Schwarzschild metric, previously obtained by the authors. We consider here more general equations of state and find new geometries describing both a regular “dirty black hole” and a “wormhole”. We discuss strong and weak energy condition violation and variuos aspects of the regular dir...

Noncommutative inflation

In spite of the success of the inflationary Universe scenario [1] in solving some of the mysteries of standard cosmology and of providing a mechanism which explains the origin of density fluctuations on cosmological scales, a mechanism which to date has passed all of the observational challenges, we still do not have a convincing realization of inflation based on fundamental physics. Moreover, ...

Entropic Geometry from Logic

1. A finitary probability space (=all probability measures on a fixed finite support) can be faithfully represented by a partial order equipped with a measure of content (e.g. Shannon entropy). 2. This partial order can be obtained via a purely order-theoretic systematic procedure starting from an algebra of properties. This procedure applies to any poset envisioned as an algebra of properties.

Noncommutative geometry