Holographic Space-time from the Big Bang to the de Sitter era

TL;DR

Tom Banks develops holographic space-time (HST) as a background‑independent quantum gravity framework in which space-time geometry emerges from finite‑dimensional Hilbert spaces associated with causal diamonds. The theory employs a two‑Hamiltonian structure for de Sitter space, H governing global chaotic evolution and P0 governing local horizon physics, together with a fermionic pixel algebra and fuzzy compactification to generate particles, SUSY, and black holes from a universal matrix model. The dense black hole fluid (DBHF) cosmology provides a principled route to the universe’s low‑entropy initial conditions, a transition to a normal FRW phase, and ultimately asymptotic de Sitter space, yielding a lonely multiverse with a cosmological constant set by initial horizon degrees of freedom. A key phenomenological prediction is a gravitino mass scale m_{3/2} = κ Λ^{1/4}, tying cosmology to low‑energy SUSY breaking and offering potential implications for TeV‑scale superpartners under plausible parameter choices.

Abstract

I review the holographic theory of space-time and its applications to cosmology. Much of this has appeared before, but the discussion is more unified and concise. I also include some material on work in progress, whose aim is to understand compactification in terms of finite dimensional super-algebras. This is an expanded version of a lecture I gave at the conference on Liouville Quantum Gravity and Statistical Systems, in memory of Alexei Zamolodchikov, at the Poncelet Institute in Moscow, 21-24 June, 2008.