Editing ComputationalFoundations (section)

== Applications Across Fields ==

=== [[Physics]] ===
* '''[[Digital Physics]]''': Theories suggesting the universe operates like a computational system
* '''[[Quantum Computation]]''': Understanding quantum systems through computational models
* '''[[Complex Systems]]''': Modeling physical systems that exhibit emergent properties
* '''[[Wolfram Physics Project]]''': A comprehensive framework attempting to derive fundamental physics from simple computational rules operating on [[hypergraphs]], potentially explaining [[quantum mechanics]], [[relativity]], and their unification through computational principles <ref>Stephen Wolfram, "Finally We May Have a Path to the Fundamental Theory of Physics—and It’s Beautiful", [https://writings.stephenwolfram.com/2020/04/finally-we-may-have-a-path-to-the-fundamental-theory-of-physics-and-its-beautiful/]</ref>.

=== [[Biology]] ===
* '''[[Computational Biology]]''': Modeling biological systems as information-processing networks
* '''[[Artificial Life]]''': Creating computational models that exhibit life-like behaviors
* '''[[Morphogenesis]]''': Explaining biological pattern formation through computational rules
* '''[[Biological Evolution as Computation]]''': Recent computational models explaining how biological evolution works through adaptive [[cellular automaton]] models, demonstrating how computational processes enable effective biological adaptation <ref>Stephen Wolfram, "Why Does Biological Evolution Work? A Minimal Model for Biological Evolution and Other Adaptive Processes", [https://writings.stephenwolfram.com/2024/05/why-does-biological-evolution-work-a-minimal-model-for-biological-evolution-and-other-adaptive-processes/]</ref>.
* '''[[Medical Formalization]]''': New computational frameworks for the foundations of medicine that treat biological systems as fundamentally computational phenomena, connecting theoretical biology with practical medical applications <ref>Stephen Wolfram, "Towards a Computational Formalization for Foundations of Medicine", [https://writings.stephenwolfram.com/2025/02/towards-a-computational-formalization-for-foundations-of-medicine/]</ref>.

=== [[Social Sciences]] ===
* '''[[Computational Sociology]]''': Modeling social dynamics and collective behaviors
* '''[[Agent-Based Modeling]]''': Simulating emergent social phenomena from individual interactions
* '''[[Network Analysis]]''': Understanding social connections and information flow

=== [[Computer Science]] ===
* '''[[Algorithmic Design]]''': Developing new approaches inspired by natural computation
* '''[[Machine Learning]]''': Creating systems that learn from data using computational principles
* '''[[Artificial Intelligence]]''': Developing computational models of intelligence