It seems clearer now that the Einstein static universe can remove dark energy and dark matter and solve the cosmological constant problem and explain the CMB anisotropy as well. Euclidean quantum field theory via Osterwalder-Schrader axioms can be formulated for it by Jaffee-Ritter. This leaves only the hierarchy problem which is definitely easier to address in this situation. The hierarchy between gravity and electromagnetism should be a simple function of the radius of the static universe. More interesting issue is whether my initial (and naive excitement) that quantization itself is a CONSEQUENCE of a static Einstein universe and perhaps determines quantum field theory is true. So this is a great problem. While it may seem as naive to say that a static spherical geometry can describe quantum field theory as the pre-Keplerian idea that the orbits of planets must be perfect circles, in this case since Planck’s constant is a universal quantization of ALL energy in the universe and not only the energy that emanates from a particular atom, this is actually a NATURAL CONJECTURE if we rewind the clock back to 1900. If we return to 1900 armed now with some knowledge that the universe IS an Einstein static universe and showed PLANCK the cosmic background radiation then he might have decided that the entire universe must be a compact blackbody and the Planck’s quantum hypothesis must then apply to the entire universe. In other words a static Einstein (or S4) universe then justifies the Planck’s constant itself naturally.

## QUANTUM FIELD THEORY IN STATIC EINSTEIN UNIVERSE?

April 3, 2017 by zulfahmed

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