M-theory, Black Holes and Cosmology

TL;DR

This paper explores deep connections between M-theory, black hole entropy, and cosmology, highlighting novel models involving 7-qubits, octonions, and error-correcting codes that suggest new observational targets for primordial gravitational waves.

Contribution

It introduces new M-theory cosmological models based on 7-qubits and exceptional algebraic structures, linking black hole entropy, quantum information, and cosmological observations.

Findings

Relation between black hole entropy and Cayley hyperdeterminant

7-qubit cosmological models with potential CMB signatures

Connections between fermion masses, Jordan eigenvalues, and black hole entropy

Abstract

This paper is dedicated to Mike Duff on the occasion of his 70th birthday. I discuss some issues of M-theory/string theory/supergravity closely related to Mike's interests. I describe a relation between STU black hole entropy, Cayley hyperdeterminant, Bhargava cube and a 3-qubit Alice, Bob, Charlie triality symmetry. I shortly describe my recent work with Gunaydin, Linde, Yamada on M-theory cosmology, inspired by the work of Duff with Ferrara and Borsten, Levay, Marrani et al. Here we have 7-qubits, a party including Alice, Bob, Charlie, Daisy, Emma, Fred, George. Octonions and Hamming error correcting codes are at the base of these models. They lead to 7 benchmark targets of future CMB missions looking for primordial gravitational wave from inflation. I also show puzzling relations between the fermion mass eigenvalues in these cosmological models, exceptional Jordan eigenvalue problem, and black hole entropy. The symmetry of our cosmological models is illustrated by beautiful pictures of a Coxeter projection of the root system of E7.