Xerxes Arsiwalla

Xerxes is a theoretical physicist. He worked on black holes and string theory during grad school. He did his postdoctoral research in computational neuroscience and complex systems. In addition to fundamental physics, he is interested in the philosophy and foundations of mathematics. He also maintains an interest in the problem of consciousness and intelligence, particularly in mathematical approaches to the mind-body problem.

Research Interests

Homotopy Type Theory
Categorical Semantics
Quantum Field Theory
Nonlinear Dynamical Systems Theory
Information Theory
Computational Neuroscience

Research Output

Featured

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.

Non-Equilibrium Dynamics of Hard Spheres in the Fluid, Crystalline, and Glassy Regimes

Xerxes D. Arsiwalla, Matthew Kafker

An investigation of the response of a system of hard spheres to two classes of perturbations over a range of densities spanning the fluid, crystalline, and glassy regimes within a molecular dynamics framework.

Preons, Braid Topology, and Representations of Fundamental Particles

David Chester, Xerxes D. Arsiwalla, Louis H. Kauffman

Braided ribbon topology for representing Standard Model fermions and their interactions

Qualia and the Formal Structure of Meaning

Xerxes D. Arsiwalla

This work explores the hypothesis that subjectively attributed meaning constitutes the phenomenal content of conscious experience. This form of subjective meaning manifests as an intrinsic and non-representational character of qualia.

An Invitation to Higher Arity Science

Carlos Zapata-Carratalá, Xerxes D. Arsiwalla

Exploration of a wide range of higher-order phenomena across multiple disciplines and the preliminary application of hypergraph and hypermatrix methods.

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.

Hypermatrix Algebra and Irreducible Arity in Higher-Order Systems: Concepts and Perspectives

Carlos Zapata-Carratalá, Maximilian Schich, Taliesin Beynon, Xerxes D. Arsiwalla

Hypergraph and hypermatrix methods are applied to detect irreducible interactions in higher-order systems.

Diagrammatic calculus and generalized associativity for higher-arity tensor operations

Carlos Zapata-Carratalá, Xerxes D. Arsiwalla, Taliesin Beynon

Homotopies in Multiway (Non-Deterministic) Rewriting Systems as n-Fold Categories

Xerxes D. Arsiwalla, Jonathan Gorard, Hatem Elshatlawy

Pregeometric Spaces from Wolfram Model Rewriting Systems as Homotopy Types

Xerxes D. Arsiwalla, Jonathan Gorard

The study explores how spatial structures in physics can emerge from pregeometric combinatorial models governed by computational rules, using higher category theory and homotopy types.

Xerxes Arsiwalla

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