Results 21 to 30 of about 179 (91)
A Three-Dimensional Extension to Zatrikean Pregeometry [PDF]
AIP Conference Proceedings, 2006 The zatrikean abacus was originally defined as a two‐dimensional chessboard‐like lattice with square geobits. In this paper we generalize the zatrikean abacus in three dimensions by using a three‐dimensional lattice with cubic geobits. We then calculate the values of certain interesting pregeometric quantities for the solar system.
Geroyannis, V. S., Dallas, T. G.
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Small models of hybrids for special subclasses of Jonsson theories
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 This article presents the result related to the model - theoretic properties of special subsets of the semantic model of some fixed Jonsson theory. The specialty of these sets is due to their definability and closure.
A.R. Yeshkeyev, N.M. Mussina
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Basic and degenerate pregeometries
European Journal of Combinatorics, 2012 We study pairs $(Γ,G)$, where $Γ$ is a 'Buekenhout-Tits' pregeometry with all rank 2 truncations connected, and $G\leqslant\mathrm{Aut} Γ$ is transitive on the set of elements of each type. The family of such pairs is closed under forming quotients with respect to $G$-invariant type-refining partitions of the element set of $Γ$. We identify the 'basic'
Michael Giudici +3 more
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Cosmology from pregeometry [PDF]
Physical Review D, 2021 We discuss cosmological solutions for a diffeomorphism invariant gauge theory of the non-compact Lorentz group $SO(1,3)$. Besides the gauge bosons our model of pregeometry contains a vector field in the vector representation of $SO(1,3)$ and a scalar singlet.
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CATEGORICITY IN QUASIMINIMAL PREGEOMETRY CLASSES [PDF]
The Journal of Symbolic Logic, 2016 AbstractQuasiminimal pregeometry classes were introduced by [6] to isolate the model theoretical core of several interesting examples. He proves that a quasiminimal pregeometry class satisfying an additional axiom, called excellence, is categorical in all uncountable cardinalities. Recently, [2] showed that the excellence axiom follows from the rest of
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Properties of hybrids of Jonsson theories
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 This work is an introduction to the study of the properties of a new concept, as a hybrid of Jonsson theories. We define the basic concepts and framework for studying the model-theoretic properties of these concepts.
A.R. Yeshkeyev, N.M. Mussina
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Independence relations for exponential fields [PDF]
, 2023 We give four different independence relations on any exponential field. Each is a canonical independence relation on a suitable Abstract Elementary Class of exponential fields, showing that two of these are NSOP$_1$-like and non-simple, a third is stable,
Kirby, J +7 more
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CONTRIBUTION TO THE PROBLEM OF FOUNDATION AND CONSIDERATION OF ZATRIKEAN PREGEOMETRY WITH APPLICATION TO ASTROPHYSICAL AND COSMOLOGICAL MODELS. [PDF]
, 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
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Pregeometry, Formal Language and Constructivist Foundations of Physics [PDF]
, 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
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