We present a non-supersymmetric compactification of M-theory down to seven dimensions which is close to a stable non-supersymmetric vacuum. This compactification is dual to a non-supersymmetric interacting conformal field theory in six dimensions. We argue that a given classical compactification of M-theory or string theory is close to a stable vacuum if it is dual to a conformal field theory w...

Vafa’s (11+1) F theory is extended by means of Bars’ 2T holographic theory to yield a 14d Multiverse theory that permeates the brane of a 12d Universe in which both the Universe and the Multiverse have (3+1) spacetimes. Given the 2d toroidal compactification of F theory, we conjecture that the Multiverse has a 4d Cartesian compactification that is filled with 3D+T spacetime via the standard 6d ...

We give an example of a horocycle in the Teichmüller space five-times-punctured sphere that does not converge Gardiner–Masur compactification, or equivalently horofunction compactification metric. As intermediate step, we exhibit simple closed curve whose extremal length is periodic but constant along horocycle. The lifts to any complex dimension greater than one via covering constructions.

We construct a normal projective rigid analytic compactification of an arbitrary Drinfeld modular variety whose boundary is stratified by varieties smaller dimensions. This generalizes work Kapranov. Using algebraic that Pink and Schieder's, we show the naturally isomorphic to analytification Pink's compactification. interpret forms as global sections natural ample invertible sheaves on deduce ...

We study the process of compactification as a topology change. It is shown how the mediating spacetime topology, or cobordism, may be simplified through surgery. Within the causal Lorentzian approach to quantum gravity, it is shown that any topology change in dimensions ≥ 5 may be achieved via a causally continuous cobordism. This extends the known result for 4 dimensions. Therefore, there is n...