Results 11 to 20 of about 839 (76)
Categoricity in Quasiminimal Pregeometry Classes [PDF]
The Journal of Symbolic Logic, 2014 Quasiminimal pregeometry classes were introduces by Zilber [2005a] 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
Haykazyan, Levon
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Algebraic Quantum Mechanics and Pregeometry [PDF]
AIP Conference Proceedings, 2006 We discuss the relation between the q-number approach to quantum mechanics suggested by Dirac and the notion of "pregeometry" introduced by Wheeler. By associating the q-numbers with the elements of an algebra and regarding the primitive idempotents as ...
Bohm, D., Davies, Philip, Hiley, B.
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Geometry, pregeometry and beyond [PDF]
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2006 This article explores the overall geometric manner in which human beings make sense of the world around them by means of their physical theories; in particular, in what are nowadays called pregeometric pictures of Nature.
Anandan +26 more
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Basic and degenerate pregeometries [PDF]
European Journal of Combinatorics, 2010 We study pairs $(\Gamma,G)$, where $\Gamma$ is a 'Buekenhout-Tits' pregeometry with all rank 2 truncations connected, and $G\leqslant\mathrm{Aut} \Gamma$ is transitive on the set of elements of each type.
Cai Heng Li +4 more
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Random l-colourable structures with a pregeometry [PDF]
Mathematical Logic Quarterly, 2012 We study finite $l$-colourable structures with an underlying pregeometry. The probability measure that is used corresponds to a process of generating such structures (with a given underlying pregeometry) by which colours are first randomly assigned to ...
Ebbinghaus H.‐D. +4 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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Towards BRST quantization of pregeometry and topological pregeometry
Nuclear Physics B, 1993 Abstract We investigate the Dirac bracket algebra of the scalar pregeometry including topological pregeometry with BRST formalism, as the first step to its quantization. We examine unitarity of the S-matrix, derive the precise expression for induced gravity, and discuss how the gravity is induced from the topological theory.
Keiichi Akama, Ichiro Oda
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Finite temperature spinor pregeometry [PDF]
Physics Letters B, 1983 We obtain the Einstein and Yang-Mills actions as induced actions. Free fermion fields are considered as the only fundamental pregeometric objects. We study in detail the temperature behaviour of the induced Newton and gauge coupling constants. Both of them are seen to decrease as the temperature grows.
G. Denardo, SPALLUCCI, EURO
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Finite-temperature scalar pregeometry [PDF]
Il Nuovo Cimento A, 1983 We study the temperature corrections to the induced Newton constant. We obtain the Einstein action from an effective action of matter at finite temperature by means of the heat kernel expansion method. We find that the induced gravitational constant decreases as the temperature becomes higher.
G. Denardo, E. Spallucci
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On Quasiminimal Excellent Classes [PDF]
, 2007 A careful exposition of Zilber's quasiminimal excellent classes and their categoricity is given, leading to two new results: the L_w1,w(Q)-definability assumption may be dropped, and each class is determined by its model of dimension aleph_0.Comment: 16 ...
Baldwin, Jonathan Kirby, Marker
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