`The quantum closet'
Abstract:
The equivalence postulate approach to quantum mechanics entails a derivation of
quantum mechanics from a fundamental geometrical principle. Underlying the
formalism there exists a basic cocycle condition, which is invariant under
D-dimensional finite Mobius transformations. The invariance of the cocycle
condition under finite Mobius transformations implies that space is compact.
Additionally, it implies energy quantisation and the undefinability of quantum
trajectories. I argue that the decompactification limit coincides with the
classical limit. Evidence for the compactness of the universe may exist in the
Cosmic Microwave Background Radiation.