M-theory cosmology, octonions, error correcting codes

A bstract We study M-theory compactified on twisted 7-tori with G 2 -holonomy. The effective 4d supergravity has 7 chiral multiplets, each a unit logarithmic Kähler potential. propose octonion, Fano plane based superpotentials, codifying the error correcting Hamming (4, 7) code. corresponding 7-moduli models have Minkowski vacua one flat direction. also superpotentials octonions/error codes for two directions. update phenomenological α -attractor of inflation 3 = , 6 5 4 1, along these These inflationary reproduce benchmark targets detecting B-modes, predicting different values $$ r=12\alpha /{N}_e^2 r = 12 α / N e 2 in range 10 − ≳ r to be explored by future cosmological observations.