Institute Output

General Relativistic Hydrodynamics in Discrete Spacetime: Perfect Fluid Accretion onto Static and Spinning Black Holes
Research Paper Jonathan Gorard Research Paper Jonathan Gorard

General Relativistic Hydrodynamics in Discrete Spacetime: Perfect Fluid Accretion onto Static and Spinning Black Holes

Jonathan Gorard

This study investigates the effect of spacetime discretization on accretion dynamics of a relativistic fluid onto a spinning black hole, specifically noting that accretion rates decrease with increased discretization scale and that drag force sensitivity and instabilities intensify at critical discretization values.

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Computational General Relativity in the Wolfram Language using Gravitas II: ADM Formalism and Numerical Relativity
Research Paper Jonathan Gorard Research Paper Jonathan Gorard

Computational General Relativity in the Wolfram Language using Gravitas II: ADM Formalism and Numerical Relativity

Jonathan Gorard

This paper introduces the Gravitas computational general relativity framework's numerical subsystem, emphasizing its ability to perform 3 + 1 spacetime decompositions via the ADM formalism, handle complex simulations of gravitational phenomena like binary black hole mergers, and leverage adaptive refinement algorithms based on hypergraph rewriting within the Wolfram Language.

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Some Quantum Mechanical Properties of theWolfram Model
Research Paper Jonathan Gorard Research Paper Jonathan Gorard

Some Quantum Mechanical Properties of theWolfram Model

Jonathan Gorard

By exploring hypergraph rules that deliberately break causal invariance, we show that the Wolfram Model’s multiway evolution functions like a quantum superposition whose geometry converges to projective Hilbert space. By proving that observers can “collapse” these histories via Knuth–Bendix completion—and deriving multiway analogues of Einstein’s equations, the path integral and the Schrödinger equation—we unify discrete spacetime, quantum mechanics and relativity within one framework.

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