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Automorphisms, flats and erections of pregeometries
2023We 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 the (known) factorization of a pregeometry into component pregeometries, and express the ...
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A Three-Dimensional Extension to Zatrikean Pregeometry
AIP Conference Proceedings, 2006The 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.
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The Calculus of Indications: A Candidate for the Pregeometry of Spacetime?
Series on Knots and Everything, 2023exaly
Geometry, pregeometry and beyond
Studies in History and Philosophy of Science Part B - Studies in History and Philosophy of Modern Physics, 2005exaly
Random ℓ‐colourable structures with a pregeometry
Mathematical Logic Quarterly, 2017Ove Ahlman
exaly
Quantum Space-Times: An Introduction to “Algebraic Quantum Mechanics and Pregeometry”
AIP Conference Proceedings, 2006exaly