Technical Documents
& Related Material
PEER REVIEW
Launch Documents
Stephen Wolfram, “A Class of Models with the Potential to Represent Fundamental Physics”
(448 pages)
Jonathan Gorard, “Some Relativistic and Gravitational Properties of the Wolfram Model”
(59 pages)
Jonathan Gorard, “Some Quantum Mechanical Properties of the Wolfram Model”
(65 pages)
Wolfram Physics Project Bulletins & Recent Research
- Stephen Wolfram, “Expression Evaluation and Fundamental Physics (2023)”
- Stephen Wolfram, “Computational Foundations for the Second Law of Thermodynamics (2023)”
- Stephen Wolfram, “How Did We Get Here? The Tangled History of the Second Law of Thermodynamics (2023)”
- Stephen Wolfram, “A 50-Year Quest: My Personal Journey with the Second Law of Thermodynamics (2023)”
- Jonathan Gorard, “Computational General Relativity in the Wolfram Language using Gravitas I: Symbolic and Analytic Computation (2023)”
- Jonathan Gorard, “Non-Vacuum Solutions, Gravitational Collapse and Discrete Singularity Theorems in Wolfram Model Systems (2023)”
- J. Gorard and J. Dannemann-Freitag, “Axiomatic Quantum Field Theory in Discrete Spacetime via Multiway Causal Structure: The Case of Entanglement Entropies (2023)”
- D. Rickles, H. Elshatlawy and X. D. Arsiwalla, “Ruliology: Linking Computation, Observers and Physical Law (2023)”
- Jonathan Gorard, “A Functorial Perspective on (Multi)computational Irreducibility (2022)”
- Stephen Wolfram, “Games and Puzzles as Multicomputational Systems”
- James Boyd, “Multicomputational Irreducibility”
- Stephen Wolfram, “Twenty Years Later: The Surprising Greater Implications of A New Kind of Science”
- Stephen Wolfram, “On the Concept of Motion”
- Stephen Wolfram, “The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics”
- Stephen Wolfram, “The Concept of the Ruliad”
- Xerxes D. Arsiwalla, Jonathan Gorard, “Pregeometric Spaces from Wolfram Model Rewriting Systems as Homotopy Types”
- Stephen Wolfram, “Multicomputation with Numbers: The Case of Simple Multiway Systems”
- Stephen Wolfram, “Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science”
- Stephen Wolfram, “How Inevitable Is the Concept of Numbers?”
- Xerxes D. Arsiwalla, Jonathan Gorard, Hatem Elshatlawy, “Homotopies in Multiway (Non-Deterministic) Rewriting Systems as n-Fold Categories”
- Stephen Wolfram, “The Problem of Distributed Consensus”
- Jonathan Gorard, Manojna Namuduri, Xerxes D. Arsiwalla, “Fast Automated Reasoning over String Diagrams using Multiway Causal Structure”
- Stephen Wolfram, “Why Does the Universe Exist? Some Perspectives from Our Physics Project”
- Stephen Wolfram, “The Wolfram Physics Project: A One-Year Update”
- Jonathan Gorard, Manojna Namuduri, & Xerxes D. Arsiwalla, “ZX-Calculus and Extended Wolfram Model Systems II: Fast Diagrammatic Reasoning with an Application to Quantum Circuit Simplification”
- Stephen Wolfram, “What Is Consciousness? Some New Perspectives from Our Physics Project”
- Stephen Wolfram, “After 100 Years, Can We Finally Crack Post’s Problem of Tag? A Story of Computational Irreducibility, and More”
- Jonathan Gorard, “Hypergraph Discretization of the Cauchy Problem in General Relativity via Wolfram Model Evolution”
- Stephen Wolfram, “Combinators and the Story of Computation”
- Yorick Zeschke, “Growth Functions, Rates and Classes of String-Based Multiway Systems”
- Stephen Wolfram, “Multiway Turing Machines”
- Jonathan Gorard, “Algorithmic Causal Sets and the Wolfram Model”
- Stephen Wolfram, “Combinators: A Centennial View”
- Jonathan Gorard, “Algorithmic Causal Sets and the Wolfram Model”
- Max Piskunov, “Confluence and Causal Invariance”
- Max Piskunov, “Local Multiway Systems: A New Approach to Wolfram Model Evolution”
- Jonathan Gorard, Manojna Namuduri, & Xerxes D. Arsiwalla, “ZX-Calculus and Extended Hypergraph Rewriting Systems I: A Multiway Approach to Categorical Quantum Information Theory”
- Stephen Wolfram, “Faster than Light in Our Model of Physics: Some Preliminary Thoughts”
- Stephen Wolfram, “The Empirical Metamathematics of Euclid and Beyond”
- Jonathan Gorard, “A Short Note on the Double-Slit Experiment and Other Quantum Interference Effects in the Wolfram Model”
- Jonathan Gorard, “A Candidate Geometrical Formalism for the Foundations of Mathematics and Physics”
- Stephen Wolfram, “A Burst of Physics Progress at the 2020 Wolfram Summer School”
- Stephen Wolfram, “Exploring Rulial Space: The Case of Turing Machines”
- Stephen Wolfram, “Event Horizons, Singularities and Other Exotic Spacetime Phenomena”
- Stephen Wolfram, “The Wolfram Physics Project: The First Two Weeks”
Other Bulletins & Research
- Carlos Zapata-Carratalá, Xerxes D. Arsiwalla & Taliesin Beynon “Heaps of Fish: Arrays, Generalized Associativity and Heapoids”
- Carlos Zapata-Carratalá & Xerxes D. Arsiwalla, “An Invitation to Higher Arity Science”
- Utkarsh Bajaj, “Visual Appearance of Extended objects in Special Relativity”
- Tobías Canavesi & Truman Tapia, “Observational Evidence of Fractality in the Large-scale Distribution of Galaxies”
Community Research Posts
- William Munizzi, “Establishing Maximal Entanglement Speed via Branchial Lightcones,” Wolfram Summer School 2022
- Abishek Joshi, “Fluid Dynamics on Graphs,” Wolfram Summer School 2022
- Sinuhe Perea, “Topological Invariants in Discrete Lattice Geom via Graph Rewriting,” Wolfram Summer School 2022
- Kurt Swanson, “Evolver-Wolfram intersection,” Wolfram Summer School 2022
- Mark Merner, “QuantumToMultiwaySystem to Explore Quantum Entanglement,” Wolfram Summer School 2022
- Dugan Hammock, “Temporally Coherent Animations of the Evolution of Wolfram Models,” Wolfram Summer School 2022
- Simon Fischer, “Photon Propagation Through Variable-Dimensional Space,” Wolfram Summer School 2022
- Gianmarco Morbelli, “Computational Implications of the Third Law of Thermodynamics,” Wolfram Summer School 2022
- Utkarsh Patel, “Study of Regge Theory Using 2-body Motion in Fractional Spacetime,” Wolfram Summer School 2022
- Aisha Kermiche, “Branchial Graph Density Diffusion in Dynamic Multiway Systems,” Wolfram Summer School 2022
- Nikola Bukowiecka, “Investigating the Weak Censorship Hypothesis in the Wolfram Model,” Wolfram Summer School 2022
- Sanjib Katuwal, “Generalizing Electromagnetism to Fractional Dimensions,” Wolfram Summer School 2022
- Hans Christiansen, “Gravitational Lensing in the Wolfram Model,” Wolfram Summer School 2022
- Felipe Amorim, “Multiway Mobile Automata,” Wolfram Summer School 2022
- Morgan Gillis, “Implementing Adinkras in the Wolfram Physics Project,” Wolfram Summer School 2022
- Utkarsh Bajaj, “Compiling Different Models of Computation into Hypergraph Rewriting,” Wolfram Summer School 2022
- Paul Borrill, “Quantum Ethernet,” Wolfram Summer School 2022
- Aritra Sarkar, “RuliadTrotter: Meta-modeling Metamathematical Observers,” Wolfram Summer School 2022
- Dean Gladish, “Multi-way Tag Systems in Coordinatized Rulial Space,” Wolfram Summer School 2022
- Richard Charette, “A Study In Proof Space Topology,” Wolfram Summer School 2022
- Lukasz Majsiak, “Some Structural and Categorical Aspects of Metamathematical space,” Wolfram Summer School 2022
- Richard Assar, “Characterisation of Infinitary Rewrite Systems,” Wolfram Winter School 2022
- Renzo Takagui Pérez, “Explore and Classify Horizons in Causal Graphs,” Wolfram Winter School 2022
- Rose Knight, “Identification of the Quantum Zeno Effect in the Wolfram Model,” Wolfram Winter School 2022
- John Joseph Marchetta, “Black Hole Entropy of 2D Spin Networks,” Wolfram Winter School 2022
- Delaram Mirfendereski, “Modeling Spin Network Interactions via Branchial Graphs,” Wolfram Winter School 2022
- Suvadeep Roy, “Translating Holographic Entanglement Entropy to Rewriting Model,” Wolfram Winter School 2022
- Dmytro Melnichenko, “Algebra of Graph Operators,” Wolfram Winter School 2022
- Regen Petu-Stiles, “Identifying Homogeneity in Hypergraphs via Approximate Isomorphism,” Wolfram Winter School 2022
- Hannah Green, “Emergent Geometry in String Rewrite Systems,” Wolfram Winter School 2022
- Enrico Caprioglio, “An Investigation on Possible Notions of Physical Distance in the WM,” Wolfram Winter School 2022
- Kartik Tiwari, “A Novel Multiway Isomorphism Model of Consistency and Completeness,” Wolfram Winter School 2022
- Juan Pablo Varela, “Growth Rates of Non-linear and Non-exponential Scaling Wolfram Models,” Wolfram Winter School 2022
- Miles Mountney, “Deducing Commutativity Relations from String Multiway Systems,” Wolfram Winter School 2022
- James Boyd, “Computational Complexity Classes, Homotopy Classes, and n-Machines,” Wolfram Summer School 2021
- Joana Teixeira, “Exploring the Effects of Causal Graph Dimension Variations in Null Geodesics,” Wolfram Summer School 2021
- Jan Chojnacki, “Dimension Decay in the Early Universe,” Wolfram Summer School 2021
- Salvatore Vultaggio, “Recovering Scalar Fields Effects in the Wolfram Model,” Wolfram Summer School 2021
- Rafael Turner, “A Topological Introduction to Causal Set Theory & Wolfram Physics,” Wolfram Summer School 2021
- Ariadna Uxue Palomino Ylla, “Kretschmann Scalar for Hypergraphs,” Wolfram Summer School 2021
- Antonia Seifert, “Lie Algebras and Curvature in Discrete Geometry,” Wolfram Summer School 2021
- Carlos Zapata Carratala, “Into the Ternary World,” Wolfram Summer School 2021
- Matthew Maddock, “Gauge Field Theories on Discrete Principal Fibre Bundles,” Wolfram Summer School 2021
- Julia Dannemann-Freitag, “Comparing Wolfram Model and Causal Set Entanglement Entropies,” Wolfram Summer School 2021
- Vladyslav Kuchkin, “Non-trivial Homotopies of Arbitrary Hypergraphs and Their Solitons,” Wolfram Summer School 2021
- Andrés Felipe Bermúdez Mendoza, “Distributed Consensus in Multiway Graph Cellular Automata,” Wolfram Summer School 2021
- Michael Reed, “Foundations of Differential Geometric Algebra in Wolfram Language,” Wolfram Summer School 2021
- Alessandro Pisana, “Quantum Gravity in (2+1) Dimensions and Multiway System,” Wolfram Summer School 2021
- Ray Aschheim, “Color Spin Networks,” Wolfram Summer School 2021
- Indira Ocampo, “Studying Cosmology in the Case of Dimension Change,” Wolfram Summer School 2021
- Jessica Yuan, “Coarse-Graining State Networks with Approximate Graph Isomorphism,” Wolfram Summer School 2021
- Silas Grossberndt, “Towards Causal Invariance Proofs in the Wolfram Physics Project,” Wolfram Summer School 2021
- Alisson Silva, “Functorial QFT and Its Connections with the Wolfram Model,” Wolfram Summer School 2021
- Farhan Tanvir Chowdhury, “Multi-way Tiling Systems,” Wolfram Summer School 2021
- Ryan Lau, “The 3-Colored Distributed Consensus Problem,” Wolfram Summer School 2021
- Georgios Smyridis, “Bloch Sphere and Gate Complexity,” Wolfram Summer School 2021
- Archana Radhakrishnan, “Exploring 1+1D Euclidean Dynamical Triangulations,” Wolfram Summer School 2021
- Marcelo Amaral, “On Charge-Spin Networks from Multiway Systems Branchial Graphs,” Wolfram Summer School 2021
- Tiecheng Guo, “Multiway Quantum Many-Body System,” Wolfram Summer School 2021
- Fang Fang, “Cellular Automata in Nested Quasicrystals,” Wolfram Summer School 2021
- Mark Merner, “Bell's Equation in the Wolfram Model Multiway Formalism,” Wolfram Summer School 2021
- Dugan Hammock, “Plotting the Evolution of a Wolfram Model in 3-Dimensions,” Wolfram Summer School 2021
- Daksh Aggarwal, “Multiway Systems as Cayley Graphs,” Wolfram Winter School 2021
- Roberto Caiozzo, “Checking the Preservation of the Schwarzschild Metric in a Graph Evolution,” Wolfram Winter School 2021
- Simone Caletti, “Towards a Spin-Statistics Theorem for Wolfram Model Multiway Systems,” Wolfram Winter School 2021
- Gene Chen, “Causal Graph Geodesics to Continuous Geodesics,” Wolfram Winter School 2021
- Jean du Plessis, “Geometric Constructions in Discrete Non-integer Dimensional Spaces,” Wolfram Winter School 2021
- Paul Fischer, “Searching for Rules That Generate Elementary Particle Behavior in the Wolfram Model,” Wolfram Winter School 2021
- Santiago Giner, “Analyzing Effects of Dimensional Perturbations in Wolfram Models,” Wolfram Winter School 2021
- Tom Lee, “Relativistic Mass Transformations for Topological Obstructions in Hypergraphs/Causal Graphs,” Wolfram Winter School 2021
- Henry Liu, “Application of Machine Learning in Complex System Simplification,” Wolfram Winter School 2021
- Yousof Mardoukhi, “Alexander–Orbach Relation and Random Walks on Hypergraphs,” Wolfram Winter School 2021
- Omar Medina, “Discretization of a Non-Abelian SU(2) Gauge Theory,” Wolfram Winter School 2021
- Geeth Ongole, “Relationship between Causal Multiway Systems and Spin Foams in Loop,” Wolfram Winter School 2021
- Keith Patarroyo, “Defect Movement in Lattice Rewriting Systems,” Wolfram Winter School 2021
- Sourav Raha, “Hypergraphs as Chains of String Bits,” Wolfram Winter School 2021
- Sam Whittington, “The Multiway Systems of Dynkin Diagrams,” Wolfram Winter School 2021
- Chang Wu, “Exploring the Gauge Symmetries in Wolfram Model,” Wolfram Winter School 2021
- Jack Xing, “Investigate Dimension Estimation Algorithm and Dimension Tensor in Wolfram Physics Model,” Wolfram Winter School 2021
- Asir Abrar, “Interpreting the Distributions of Dimensions in the Wolfram Models,” Wolfram Summer School 2020
- Andoni Royo Abrego, “Particles and Fields from Topological Defects in Spacetime Mesh,” Wolfram Summer School 2020
- Carlos Rafael Garduno Acolt, “Hunting for Black Holes,” Wolfram Summer School 2020
- Xerxes Arsiwalla, “Homotopic Foundations of Wolfram Models,” Wolfram Summer School 2020
- Cameron Beetar, “A Path to Higher Order Corrections for Einstein's Equations,” Wolfram Summer School 2020
- Joseph Blazer, “EPR Interactions in Generational Multiway Systems,” Wolfram Summer School 2020
- Tobias Canavesi, “Local Dimension Measure and Rotation Groups in Wolfram Models,” Wolfram Summer School 2020
- Joseph Crowley, “Multiway Circular-String Rewrite Systems,” Wolfram Summer School 2020
- Darya Dyachkova, “Exploring the Dimensionality of Wolfram Models,” Wolfram Summer School 2020
- Hatem Elshatlawy, “Investigating Quantum Interference Effects in Wolfram Models,” Wolfram Summer School 2020
- Mohamed Gaber, “Studying State Transition Diagrams in Finite Wolfram Models,” Wolfram Summer School 2020
- Chandra Gangavarapu, “Cyclic String Substitution and Multiway Systems,” Wolfram Summer Camp 2020
- Xiyuan Gao, “Exploring CPT Invariance in Wolfram Models,” Wolfram Summer School 2020
- Patrick Geraghty, “The Quantum Harmonic Oscillator in the Wolfram Physics Model,” Wolfram Summer School 2020
- Simon I. Golombek, “Random Walks in Branchial Turing Machine Space & Quest for Simplest Universal NDTM,” Wolfram Summer School 2020
- Antony Halim, “Finding Conservation Laws in (Hyper)graph Rewritings,” Wolfram Summer School 2020
- Antonia Kaestner, “Graph Representation of Biological Evolution,” Wolfram Summer School 2020
- Matthew Kafker, “Exploring Networks in Hard Sphere Models,” Wolfram Summer School 2020
- Jatin Kansal, “Classify Growth Rates for Wolfram Models,” Wolfram Summer School 2020
- Jon Lederman, “Weyl’s Law and the Wolfram Model of Physics,” Wolfram Summer School 2020
- Macy Maurer Levin, “Visualisations of a Multiway Graph,” Wolfram Summer Camp 2020
- Chenshuo Ma, “Terminations and Completions in String Multiway Systems,” Wolfram Summer School 2020
- Yanal Marji, “Wolfram Models as Discretization Methods for Numerical PDE Solver,” Wolfram Summer School 2020
- Ivan Martinez, “Quantum Effects in Fluid Flow Cellular Automata,” Wolfram Summer School 2020
- Quinn McIntyre, “Explorations of the Hypergraph wm44586,” Wolfram Summer Camp 2020
- Maurizio Moreschi, “Evolution of (Hyper)Graph Invariants under (Hyper)Graph Rewritings,” Wolfram Summer School 2020
- Taufiq Murtadho, “Quantum Teleportation in String Substitution System,” Wolfram Summer School 2020
- Manojna Namuduri, “Comparing Expansion in Physical and Branchial Space,” Wolfram Summer School 2020
- Luke Neville, “Exploring Statistical Mechanics in String Substitution Systems,” Wolfram Summer School 2020
- Christian Pratt, “Particle-Like Excitation's Causal Influence in Wolfram Models,” Wolfram Summer School 2020
- Yoav Rabinovich, “Shor’s Algorithm in Multiway Systems,” Wolfram Summer School 2020
- Marc Sperzel, “An Exploration of the AdS/CFT Correspondence within Wolfram Models,” Wolfram Summer School 2020
- Graham Van Goffrier, “Full Discretization of Local Gauge Invariance,” Wolfram Summer School 2020
- Sam Wilson, “Multiple Transformation Rules That Give Slow Growth,” Wolfram Summer School 2020
- William Yam, “Finding Gravitational Waves in Wolfram Models,” Wolfram Summer School 2020
- Jin Yan, “Wolfram Models: State Transition Networks of Non-growing Hypergraph Evolutions,” Wolfram Summer School 2020
- Yorick Zeschke, “Looking for Multiway Systems of Intermediate Growth,” Wolfram Summer Camp 2020
Notable Expositions & Commentary
- Rudy Rucker, “The Wolfram Physics Project”
- Alex Lamb, “Should You Take Wolfram's Physics Seriously?”
- Date un Vlog, “WOLFRAM: ‘Una Nueva Teoría Fundamental de la Física... y es Bella’ | REACCIÓN”
- Tom Siegfried, “Stephen Wolfram’s Hypergraph Project Aims for a Fundamental Theory of Physics”
- Jose Manuel Rodriguez Caballero, “Brainstorming about the Geometric Structures in the Wolfram Model of Fundamental Physics”
- Nicholas Teague, “A New Kind of Physics: The Unifying Theory of the Wolfram Model”
Earlier Material
- Stephen Wolfram, “Network Substitution Systems”
- Stephen Wolfram, “String Substitution Systems”
- Stephen Wolfram, “A New Kind of Science: A 15-Year View”
- Stephen Wolfram, “What Is Spacetime, Really?”
- Oyvind Tafjord, “NKS and the Nature of Space and Time”
- Isabella Retter [Thiesen], “Networks as Manifolds”
- Max Piskunov, “Confluent Set Substitution Systems,” Wolfram Summer School 2019
- Max Piskunov, “Deterministic Planar Network Systems”
- Max Piskunov, “Planar Network Systems”
External References
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