Results 41 to 50 of about 839 (76)

Pregeometry over locally o‐minimal structures and dimension

open access: yesMathematical Logic Quarterly, 2023
AbstractWe define a discrete closure operator for definably complete locally o‐minimal structures . The pair of the underlying set of and the discrete closure operator forms a pregeometry. We define the rank of a definable set over a set of parameters using this fact and call it ‐dimension.
openaire   +2 more sources

Higgs Mechanism for Gravitons

open access: yes, 2010
Just like the vector gauge bosons in the gauge theories, it is now known that gravitons acquire mass in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields.
ICHIRO ODA   +3 more
core   +1 more source

An example of the stochastic dynamics of a causal set

open access: yes, 2011
An example of a discrete pregeometry on a microscopic scale is introduced. The model is a directed dyadic acyclic graph. This is the particular case of a causal set. The particles in this model must be self-organized repetitive structures.
Krugly, Alexey L., Stepanian, Ivan V.
core   +1 more source

Spinor Pregeometry at Finite Tempereture [PDF]

open access: yesProgress of Theoretical Physics, 1987
We derive the effective action for gravity at finite temperature in spinor pregeometry. The temperature-dependent effective potential for the vierbein which is parametrized as ekp = b diag (1, p, p, p) has the minimum at b=O for fixed p, and behaves asp3 for fixed b. These results indicate that the system of fundamental matters in spinor pregeometry is
openaire   +1 more source

The generic flat pregeometry

open access: yes, 2020
We examine the first order structure of pregeometries of structures built via Hrushovski constructions. In particular, we show that the class of flat pregeometries is an amalgamation class such that the pregeometry of the unbounded arity Hrushovski construction is precisely its generic.
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Pregeometry and an Extended String Action [PDF]

open access: yesProgress of Theoretical Physics, 1988
On propose une action de couche d'univers pour une corde transversalement etendue. C'est celle d'une theorie gravitationnelle et de jauge avec des champs de matiere sur la couche d'univers, avec des effets additionnels de la seconde quantite ...
openaire   +1 more source

An Attempt at Pregeometry: -- Gravity with Composite Metric -- [PDF]

open access: yesProgress of Theoretical Physics, 1978
Summary: According to fundamental postulates and the principle of relativity, we derive the basic determinant Lagrangian of `pregeometry', from which geometrodynamics, or Einstein's gravity, is derived. The metric and, therefore, the space-time distance itself appear as composites of lepton-antilepton and quarkantiquark pairs.
openaire   +2 more sources

Ranks and pregeometries in finite diagrams

open access: yesAnnals of Pure and Applied Logic, 2000
Abstract: "The study of classes of models of a finite diagram was initiated by S. Shelah in 1969. A diagram D is a set of types over the empty set, and the class of models of the diagram D consists of the models of T which omit all the types not in D.
openaire   +3 more sources

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