Results 71 to 80 of about 179 (91)
Causality as a Casualty of Pregeometry [PDF]
In Wheeler’s pregeometry, one attempts to derive properties of the spacetime manifold, such as metric, continuity, dimensionality, topology, locality, symmetry, and causality from an otherwise structureless set [1]. Requardt & Roy refer to this methodologically reductionist attempt to model the properties of spacetime as “bottom up pregeometry” [2]. In
W M Stuckey
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Pregeometry Via Uniform Spaces [PDF]
We begin by motivating a pregeometric approach to quantum gravity. A pregeometry is then introduced over denumberable sets which employs the discrete uniform space D X and a uniformity base U B induced by a topological group. The entourages of D X provide a non-metric notion of locality consistent with the open balls of a differentiable manifold ...
W M Stuckey
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Characterisation of a pregeometry by its flats [PDF]
Leigh Roberts
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Towards BRST quantization of pregeometry and topological pregeometry
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.
Ichiro Oda, Keiichi Akama
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Algebra Universalis, 2018
Abstract: "The aim of this paper is to set the foundation to separate geometric model theory from model theory. Our thesis is that it is possible to lift results from geometric model theory to non first order logic (e.g. L[subscript omegaΓéü, omega]).
Grossberg, Rami, Lessmann, Olivier
+4 more sources
Abstract: "The aim of this paper is to set the foundation to separate geometric model theory from model theory. Our thesis is that it is possible to lift results from geometric model theory to non first order logic (e.g. L[subscript omegaΓéü, omega]).
Grossberg, Rami, Lessmann, Olivier
+4 more sources
Classical Relativistic Tests in Zatrikean Pregeometry [PDF]
Three well-known problems (perihelion advance, photon deflection, radar echo delay) are studied in the framework of Zatrikean Pregeometry. The results differ less than 0.1% from those of General Relativity.
Geroyannis, V. S., Dallas, T. G.
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Chern-Simons Pregeometry [PDF]
Ichiro Oda, K Akama, I Oda
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An Attempt at Pregeometry: -- Gravity with Composite Metric -- [PDF]
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.
K Akama, Keiichi Akama, Akama Keiichi
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