Geometry of the Micro- and Macrocosmos: How the Expansion of the Universe Knots Electroweak Bosons
Part 1: The Static Dead End of Five-Dimensional Space and the Emergence of Cosmological “Vises”
Geometry of the Micro- and Macrocosmos: How the Expansion of the Universe Knots Electroweak Bosons
Part 1: The Static Dead End of Five-Dimensional Space and the Emergence of Cosmological “Vises”
The attempt to unify the fundamental forces of nature by increasing the number of dimensions is not a new idea. Back in the 1920s, Theodor Kaluza and Oskar Klein showed that by adding a fifth dimension, Einstein’s gravity could be unified with Maxwell’s electrodynamics. In a modern interpretation using five-dimensional Anti-de Sitter space (AdS5), sub-Planckian quantum loops, and the concept of a primordial graviton medium, this model is capable of much more: it allows us to look at elementary particles not as point-like objects, but as topological defects (knots) within the very fabric of space-time.
However, for a long time, this elegant geometric architecture lacked one critical element. Pure Kaluza-Klein geometry remained static. Because of this, it could not explain why the parameters of weak interactions — in particular, the masses of the W and Z bosons and the Weinberg angle that binds them — have such strictly fixed values.
The solution came from an unexpected direction: through the unification of microscopic 5D topology with the macroscopic cosmological Friedmann-Lemaître-Robertson-Walker (FLRW) model.
Full article (Google Docs) EN:
https://docs.google.com/document/d/1OuRaAYDIpgZn71fJ47fNo04RlpbycddxzqYmEfugzYk/edit?usp=sharing
Full article (Google Docs) RU:
https://docs.google.com/document/d/1A2A82Da5H-Rgr2sBEwT6a-oMnCMChgEHA3ftFJ6L_7A/edit?usp=sharing
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