Holographic Space-Time: The Takeaway

TL;DR

This paper introduces holographic space-time (HST), a framework that unifies quantum field theory and string theory, explaining supersymmetry, black holes, and cosmological phenomena through a holographic and geometric approach.

Contribution

It presents a novel holographic formalism that unifies particles and black holes, explains supersymmetry without moduli, and models inflation as an emergent geometric phenomenon.

Findings

HST unifies particles and black holes as excitations of non-commutative variables.

Compact extra dimensions have no moduli and are finite-dimensional representations.

Finite radius de Sitter spaces break SUSY with a gravitino mass scaling as Λ^{1/4}.

Abstract

The theory of holographic space-time (HST) generalizes both string theory and quantum field theory. It provides a geometric rationale for supersymmetry (SUSY) and a formalism in which super-Poincare invariance follows from Poincare invariance. HST unifies particles and black holes, realizing both as excitations of non-commutative geometrical variables on a holographic screen. Compact extra dimensions are interpreted as finite dimensional unitary representations of super-algebras, and have no moduli. Full field theoretic Fock spaces, and continuous moduli are both emergent phenomena of super-Poincare invariant limits in which the number of holographic degrees of freedom goes to infinity. Finite radius de Sitter (dS) spaces have no moduli, and break SUSY with a gravitino mass scaling like $\Lambda^{1/4}$. We present a holographic theory of inflation and fluctuations. The inflaton field is an emergent concept, describing the geometry of an underlying HST model, rather than "a field associated with a microscopic string theory". We argue that the phrase in quotes is meaningless in the HST formalism.