M-theory, Black Holes and Cosmology
  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.
