M-theory observables for cosmological space-times

TL;DR

The paper argues for a cosmological analogue of the S-matrix applicable to Big-Bang to FRW spacetimes with Λ≥0, built within a holographic, gauge-variant framework that accounts for multiple horizons via DS Complementarity. It introduces nets of finite-dimensional Hilbert spaces (Planck-lattice PIREs) as the foundational language for quantum spacetime, with geometry emerging from algebraic relations and a semiclassical p = ρ early universe modeled by a per-Planck-cell 1+1D CFT saturating holographic bounds. The work investigates classical and semiclassical limits, proposes a gauge-invariant path to a true quantum theory of spacetime, and discusses how these ideas relate to Witten’s DS proposals and string/M-theory. Overall, it offers a unifying, holography-based approach to cosmology that challenges inflationary narratives and seeks a gauge-invariant, quantum-mechanical understanding of the early universe and horizon structure.

Abstract

We discuss the construction of the analog of an S-matrix for space-times that begin with a Big-Bang and asymptote to an FRW universe with nonnegative cosmological constant. When the cosmological constant is positive there are many such S-matrices, related mathematically by gauge transformations and physically by an analog of the principle of black hole complementarity. In the limit of vanishing $Λ$ these become (approximate) Poincare transforms of each other. Considerations of the initial state require a quantum treatment of space-time, and some preliminary steps towards constructing such a theory are proposed. In this context we propose a model for the earliest semiclassical state of the universe, which suggests a solution for the horizon problem different from that provided by inflation.