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Quantum Operators From Wolfram Model Multiway Systems
Furkan Semih Dündar, Xerxes D. Arsiwalla, Hatem Elshatlawy
Using Wolfram Model multiway rewriting systems we have found that by using multiway systems one can construct representations of quantum circuits, showing that one can encode the Hadamard gate, the π/8 gate and the CNOT using multiway rewriting systems. This suggests the possibility of universal quantum computation using multiway rewriting.
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 multiway rewriting systems based on string substitutions.
Quantum Gravity and Computation: Information, Pregeometry, and Digital Physics
Dean Rickles, Xerxes D. Arsiwalla, Hatem Elshatlawy
This volume argues that concepts from the theory of computation—including information theory, formal languages, and discrete structures—might provide novel paths towards a solution to the problem of quantum gravity. By combining elements of physics with computer science and mathematics, the volume proposes to transform the foundations of spacetime physics and bring it into the digital age.
Towards a Generalized Theory of Observers
Hatem Elshatlawy, Xerxes Arsiwalla
A proposal of a formal framework for understanding and unifying the concept of observers across physics, computer science, philosophy, and related fields.
Ruliology: Linking Computation, Observers and Physical Law
Dean Rickles, Hatem Elshatlawy, Xerxes D. Arsiwalla
Physical laws arise from the sampling of the Ruliad by observers (including us). This naturally leads to several conceptual issues, such as what kind of object is the Ruliad? What is the nature of the observers carrying out the sampling, and how do they relate to the Ruliad itself? What is the precise nature of the sampling? This paper provides a philosophical examination of these questions, and other related foundational issues, including the identification of a limitation that must face any attempt to describe or model reality in such a way that the modeller-observers are included.
Homotopies in Multiway (Non-Deterministic) Rewriting Systems as n-Fold Categories
Xerxes D. Arsiwalla, Jonathan Gorard, Hatem Elshatlawy