The Random Graph Pregeometry, Some of its Implications and new Insights in Universe and Time Structures

Mathematics – Differential Geometry

Scientific paper

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Geometry, Differential Geometry, And Topology, Stochastic Analysis, Mathematical And Relativistic Aspects Of Cosmology

Scientific paper

We expose a conception of the physical universe based on acausal relations between fundamental elements with only a binary property. Relations occur following a stochastic process which describes universe evolution. Separations can be defined by the spinor null-pole formula to define a possibly scale dependent geometry. The central unknown being the stochastic process, some properties can be inferred from macroscopic evidence, but some alternatives are opened for example to have a time model closer from the physical one accounting for example for the past-present-future distinction and the ``depth of physical time''. Independent of considerations about the evolution process, some properties of the universe as a matter-antimatter implied gemellarity automatically arises if the binary fundamental property is identified with charge polarity.

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