Friday, November 5, 2021

Unification of gravitation and quantum theory and the standard model is needed at all energy scales, not just at the Planck energy scale

The 25 or so dimensionless constants of the standard model are data. Unexplained data. What makes us so sure that to explain this data we must perform experiments at energies higher than the one at which these constants have been measured?!
Could it be that we have not yet fully understood quantum field theory and space-time structure at the energy scales at which we know the standard model?
Just as the Dirac equation is a square-root of the Klein-Gordon equation, a spinor spacetime is a square-root of Minkowski spacetime. Describing the standard model on a spinor spacetime, instead of on Minkowski, could explain properties of the standard model.
Elementary fermions live on a non-commutative spinor spacetime. Describing them as living on a Minkowski space-time is an approximation. The particles by their presence curve the spinor spacetime. This curving feeds back on the particles and controls their properties. Just as the non-commutativity of position and momentum in quantum mechanics results in discrete energy levels for bound systems, the non-commutativity of space-time implies quantisation of electric charge and of mass.
The emergence of Minkowski spacetime from the underlying spinor spacetime is a consequence of critical entanglement amongst the fermions. Once sufficiently many fermions are entangled, classicalisation takes place, macroscopic objects form and 4D classical space-time emerges. However, elementary particles which are not critically entangled continue to live in their spinor spacetime, although we describe them, approximately, from the vantage point of our own Minkowski spacetime.
This same classicalisation process takes place in the very early universe. Once the expanding universe cools sufficiently, critical entanglement of fermions becomes possible, and classical spacetime emerges. Quantum systems continue to evolve in their spinor spacetime.

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