Topology and models of ZFC at early Universe

• Authors: Jerzy Król , Torsten Asselmeyer-Maluga
• Languages of publication: EN

Abstracts

EN

Recently the cosmological evolution of the universe has been considered where 3-dimensional spatial topology undergone drastic changes. The process can explain, among others, the observed smallness of the neutrino masses and the speed of inflation. However, the entire evolution is perfectly smooth from 4-dimensional point of view. Thus the raison d’être for such topology changes is the existence of certain non-standard 4-smoothness on R4 already at very early stages of the universe. We show that the existence of such smoothness can be understood as a byproduct of the quantumness of the origins of the universe. Our analysis is based on certain formal aspects of the quantum mechanical lattice of projections of infinite dimensional Hilbert spaces where formalization reaches the level of models of axiomatic set theory.

Keywords

EN

Cosmological model; exotic R4 and S3 × R in cosmology; 4-exotic smoothness; models of ZFC; topological model for inflation; topological model for neutrino masses; forcing; QM lattice of projections

PL

Cosmological model; exotic R4 and S3 × R in cosmology; 4-exotic smoothness; models of ZFC; topological model for inflation; topological model for neutrino masses; forcing; QM lattice of projections

• Publisher: Copernicus Center Press
• Journal: Zagadnienia Filozoficzne w Nauce
• Year: 2019
• Issue: 66
• Pages: 15-33

Dates

published

2019-07-30

Contributors

author

Jerzy Król

author

Torsten Asselmeyer-Maluga