1 citations · 2 across the 5 of their papers we have counts for
5 papers
Quantum Gates from Wolfram Model Multiway Rewriting Systems
Furkan Semih Dündar, Xerxes D. Arsiwalla, Hatem Elshatlawy
We show how representations of finite-dimensional quantum operators can be constructed using nondeterministic rewriting systems. In particular, we investigate Wolfram model multiwa…
Towards a Generalized Theory of Observers
Hatem Elshatlawy, Dean Rickles, Xerxes D. Arsiwalla
We propose a formal framework for understanding and unifying the concept of observers across physics, computer science, philosophy, and related fields. Building on cybernetic feedb…
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…
Homotopies in Multiway (Non-Deterministic) Rewriting Systems as -Fold Categories
Xerxes D. Arsiwalla, Jonathan Gorard, Hatem Elshatlawy
We investigate algebraic and compositional properties of abstract multiway rewriting systems, which are archetypical structures underlying the formalism of the Wolfram model. We de…