Pregeometric quantum lattice

Hans A. De Raedt, Wolfgang von der Linden

W. M. Stuckey, Michael Silberstein

We introduce a pregeometry employing uniform spaces over the denumerable set X of spacetime events. The discrete uniformity D_X over X is used to obtain a pregeometric model of macroscopic spacetime neighborhoods. We then use a uniformity base generated by a topological group structure over X to provide a pregeometric model of microscopic spacetime neighborhoods. Accordingly, quantum non-separability as it pertains to non-locality is understood pregeometrically as a contrast between microscopic spacetime neighborhoods and macroscopic spacetime neighborhoods. A nexus between this pregeometry and conventional spacetime physics is implied per the metric induced by D_X. A metric over the topological group Z2 x ... x Z2 is so generated. Implications for quantum gravity are enumerated.

Hans A. De Raedt, Wolfgang von der Linden

W. M. Stuckey, Michael Silberstein

We introduce a pregeometry employing uniform spaces over the denumerable set X of spacetime events. The discrete uniformity D_X over X is used to obtain a pregeometric model of macroscopic spacetime neighborhoods. We then use a uniformity base generated by a topological group structure over X to provide a pregeometric model of microscopic spacetime neighborhoods. Accordingly, quantum non-separability as it pertains to non-locality is understood pregeometrically as a contrast between microscopic spacetime neighborhoods and macroscopic spacetime neighborhoods. A nexus between this pregeometry and conventional spacetime physics is implied per the metric induced by D_X. A metric over the topological group Z2 x ... x Z2 is so generated. Implications for quantum gravity are enumerated.

Vincent Pasquier

Ciprian Stoichici

We propose a non-naive realist pregeometric model in which spacetime, matter, and quantum states emerge fromconstrained projections of fundamental correlations. In this approach, no spacetime or material degrees of freedomare assumed as primitive; instead, physically meaningful observables arise from compatibility conditions on theunderlying correlation structure. This framework provides a unified perspective on the emergence of geometry,matter content, and quantum statistical structure from a common pregeometric foundation.