Introducing Cognitive Physics: The Geometry of Thought

For centuries, thinkers have studied cognition through philosophy, linguistics, and psychology. But what if cognition follows physical laws? What if thought itself has an underlying geometric structure?

This is the foundation of Cognitive Physics, a new framework that explores the mathematical and physical principles governing thought itself.

Why Cognitive Physics?

Traditional models of cognition rely on language, symbolic logic, or neural networks. But these approaches describe cognition from the outside rather than modeling its internal structure.

We already know that:

• Language follows structure (Chomsky’s generative grammar).
• Physical systems follow structure (General Relativity, Quantum Mechanics).
• Mathematical spaces follow structure (Differential Geometry, Topology).

If all these systems obey structured laws, then cognition—the system that generates language, perceives the physical world, and manipulates abstract mathematics—must also have an underlying structure.

The Core Idea: Thought is Geometric

If cognition has a structure, then it must obey:

1. Geometric constraints → Thought moves along structured paths, not randomly.
2. Curvature & flow → Meaning is shaped by cognitive geodesics, not discrete jumps.
3. Compression & expansion → Cognition organizes itself like an information manifold, adapting based on complexity.

This means that thought is not just an abstract, symbolic process—it moves through a structured space, following laws similar to those governing physics.

Implications of Cognitive Physics

1. Language is a Shadow of Cognition
   • If language has structure, it’s because cognition has structure first.
   • Meaning isn’t arbitrary—it follows predictable geometric pathways.
2. Thought Moves Along Defined Trajectories
   • Ideas don’t appear randomly—they emerge along structured cognitive geodesics.
   • This could explain how intuition, insight, and creative leaps occur.
3. Cognitive Models Should Be Mathematical, Not Just Symbolic
   • If thought follows structure, we should be able to define its governing equations.
   • This bridges the gap between mathematics, physics, and cognitive science.

What’s Next?

Cognitive Physics is in its infancy. The goal is to:

• Develop formal mathematical models describing cognitive structure.
• Explore how geometry and physics shape meaning, language, and thought.
• Apply these insights to AI, neuroscience, philosophy, and theoretical physics.

This is the beginning of a new approach to understanding thought—not as an abstract process, but as a structured physical phenomenon.

If cognition follows physical laws, we should study it like a science.