73 citations · 200 across the 36 of their papers we have counts for
4 papers · 1 filter
Pregeometry, Formal Language and Constructivist Foundations of Physics
Xerxes D. Arsiwalla, Hatem Elshatlawy, Dean Rickles
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,…
Ruliology: Linking Computation, Observers and Physical Law
Dean Rickles, Hatem Elshatlawy, Xerxes D. Arsiwalla
Stephen Wolfram has recently outlined an unorthodox, multicomputational approach to fundamental theory, encompassing not only physics but also mathematics in a structure he calls T…
Quantization of a New Canonical, Covariant, and Symplectic Hamiltonian Density
David Chester, Xerxes D. Arsiwalla, Louis Kauffman +2
We generalize Koopman-von Neumann classical mechanics to poly-symplectic fields and recover De Donder-Weyl theory. Comparing with Dirac's Hamiltonian density inspires a new Hamilto…
Beyond Binary: Hypermatrix Algebra and Irreducible Arity in Higher-Order Systems
Carlos Zapata-Carratalá, Maximilian Schich, Taliesin Beynon +1
Theoretical and computational frameworks of modern science are dominated by binary structures. This binary bias, seen in the ubiquity of pair-wise networks and formal operations of…