Temat: smoothness - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Czy wiemy dlaczego czasoprzestrzeń na dużych skalach jest gładka i 4-wymiarowa?
How do we know that physical spacetime in cosmology is smooth and 4-dimensional?
Autorzy:: Król, Jerzy
Powiązania:: https://bibliotekanauki.pl/articles/690942.pdf
Data publikacji:: 2017
Wydawca:: Copernicus Center Press
Tematy:: quantum mechanics
Boolean-valued models of set theory
exotic smoothness on R4
Opis:: Even though the description of the universe in cosmology is known to be given by a smooth 4-dimensional Lorentz manifold for energies below Planck scale, one still can ask about the origins of this phenomenon. In this paper we show that mathematics used for description of quantum systems at micro scale determines smoothness of spacetime at large cosmological scales and indicates the dimension 4 as the only possible dimension for spacetime.
Źródło:: Zagadnienia Filozoficzne w Nauce; 2017, 63; 101-111
0867-8286
2451-0602
Pojawia się w:: Zagadnienia Filozoficzne w Nauce
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Topology and models of ZFC at early Universe
Autorzy:: Król, Jerzy
Asselmeyer-Maluga, Torsten
Powiązania:: https://bibliotekanauki.pl/articles/690832.pdf
Data publikacji:: 2019
Wydawca:: Copernicus Center Press
Tematy:: 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
Opis:: 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.
Źródło:: Zagadnienia Filozoficzne w Nauce; 2019, 66; 15-33
0867-8286
2451-0602
Pojawia się w:: Zagadnienia Filozoficzne w Nauce
Dostawca treści:: Biblioteka Nauki

Artykuł

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