A geometric approach to fundamental physics

Knot Physics is a research program investigating whether matter, quantum mechanics, and gravity share a geometric origin. It models particles as topological defects in a branched four-dimensional spacetime, with physical behavior emerging from branch statistics and entropy.

3-Minute Introduction

Quantum interference in branched spacetime

In Knot Physics, particles are modeled as topological defects—informally called knots—within a four-dimensional spacetime whose branches separate and recombine. This three-minute introduction shows how knot amplitudes and branch recombination are proposed to give rise to the wave function and double-slit interference.

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Knot Physics presents a substantial body of work. AI tools can help you get oriented. Start with this prompt or one of your own.

Assess Knot Physics using knotphysics.net. Summarize its assumptions, results, predictions, and weaknesses, citing the relevant sections.

Theory resources

Concise Guide

Theory overview

A concise guide to the framework’s assumptions, quantitative results, testable predictions, and unresolved questions.

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Primary Reference

Knot Physics: A Complete Description of the Theory

This self-contained document presents the complete Knot Physics research program, including its quantitative results, testable predictions, limitations, and open questions. Use this book as the primary reference for technical evaluation.

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Featured paper

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Finite Path Integrals on Stochastic Branched Structures

Roukaya Dekhil, Clifford Ellgen, & Bruno Klajn (Mar 2026)

Published in J. Phys. A: Math. Theor. (2026) • DOI: 10.1088/1751-8121/ae513a (opens in a new tab)

Abstract: In this paper, we present a statistical model of spacetime trajectories based on a finite collection of paths organized into a branched manifold. For each configuration of the branched manifold, we define a Shannon entropy. Given the variational nature of both the action in physics and the entropy in statistical mechanics, we explore the hypothesis that the classical action is proportional to this entropy. Under this assumption, we derive a Wick-rotated version of the path integral that remains finite and exhibits both quantum interference at the microscopic level and classical determinism at the macroscopic scale. In effect, this version of the path integral differs from the standard one because it assigns weights of non-uniform magnitude to different paths. The model suggests that wave function collapse can be interpreted as a consequence of entropy maximization. Although still idealized, this framework provides a possible route toward unifying quantum and classical descriptions within a common finite-entropy structure.

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Recent seminar

Particle Knots and Entropic Dynamics

Hosted by the Information Physics Institute

Knot Physics recasts quantum field theory as geometry within a higher-dimensional branched spacetime, where knots correspond to elementary particles. The seminar explains how entropy-maximizing branch behavior may generate the forces and their gauge groups while connecting quantum and classical behavior.

Particle Knots and Entropic Dynamics seminar video thumbnail

1:10:36

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