Results 21 to 30 of about 184 (66)

The dynamics of binary alternatives for a discrete pregeometry [PDF]

open access: yes, 2020
A particular case of a causal set is considered that is a directed dyadic acyclic graph. This is a model of a discrete pregeometry on a microscopic scale. The dynamics is a stochastic sequential growth of the graph.
Alexey L Krugly
core  

Pregeometry, Formal Language and Constructivist Foundations of Physics [PDF]

open access: yes, 2023
How does one formalize the structure of structures necessary for the foundations of physics? This work is an attempt at conceptualizing the metaphysics of pregeometric structures, upon which new and existing notions of quantum geometry may find a foun ...
Arsiwalla, Xerxes   +2 more
core  

Heritability of types of a pregeometry relative to a family of relational structures

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
A series of geometrical and topological properties induced by structures, including degeneration, modularity, local modularity, projectivity, local finiteness, etc., play an important role in clarifying structural relationships and in classifying basic ...
S.B. Malyshev, S.V. Sudoplatov
doaj   +1 more source

Automorphisms, flats and erections of pregeometries

open access: yes, 1973
We characterize pregeometries in terms of their flats - giving necessary and sufficient conditions for a collection of sets to be the flats of a pregeometry. We begin a systematic study of automorphisms of pregeometries; arguing geometrically, we obtain
Roberts, Leigh Alan (11658667)
core   +1 more source

Finding a field in a Zariski-like structure [PDF]

open access: yes, 2017
We show that if M is a Zariski-like structure (see [7]) and the canonical pregeometry obtained from the bounded closure operator (bcl) is non-locally modular, then M interprets either an algebraically closed field or a non-classical group.
Kangas, Kaisa, Kaisa Kangas
core   +1 more source

The finite submodel property and ω-categorical expansions of pregeometries

open access: yes, 2006
We prove, by a probabilistic argument, that a class of ω-categorical structures, on which algebraic closure defines a pregeometry, has the finite submodel property. This class includes any expansion of a pure set or of a vector space, projective space or
Djordjevic, Marko,
core   +1 more source

CONTRIBUTION TO THE PROBLEM OF FOUNDATION AND CONSIDERATION OF ZATRIKEAN PREGEOMETRY WITH APPLICATION TO ASTROPHYSICAL AND COSMOLOGICAL MODELS.

open access: yes, 1996
Η ΖΑΤΡΙΚΙΑΝΗ ΠΡΟΓΕΩΜΕΤΡΙΑ ΕΙΝΑΙ ΕΝΑ ΜΟΝΤΕΛΟ ΠΟΥ ΣΤΗΡΙΖΕΤΑΙ ΣΤΗΝ ΥΠΟΘΕΣΗ ΟΤΙ Ο ΧΩΡΟΣ ΕΙΝΑΙ ΔΙΑΚΡΙΤΟΣ. Ο ΧΩΡΟΣ ΜΕ ΔΙΑΚΡΙΤΗ ΔΟΜΗ ΚΑΛΕΙΤΑΙ ΑΒΑΚΑΣ ΚΑΙ ΠΡΟΣΟΜΟΙΩΝΕΤΑΙ ΜΕ ΣΚΑΚΙΕΡΑ.
Ντάλλας, Ευθύμιος
core   +1 more source

Pregeometry, Formal Language and Constructivist Foundations of Physics [PDF]

open access: yes
How does one formalize the structure of structures necessary for the foundations of physics? This work is an attempt at conceptualizing the metaphysics of pregeometric structures, upon which new and existing notions of quantum geometry may find a ...
Elshatlawy, Hatem   +2 more
core   +2 more sources

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