The Semantic Least-Energy Principle: A Hypothesis for Intelligence

2026-07-27

AI Summary

This work addresses the current lack of a first-principles explanation for how intelligent systems organize their latent semantic states. It proposes the Semantic Least Energy Principle (SLEP), positing that intelligent systems evolve internal representations by simultaneously maximizing semantic utility and minimizing semantic, predictive, and computational energy. Within a variational framework, semantic cognition is modeled as stationary solutions of a semantic action functional. This study unifies semantic abstraction, reasoning, planning, and communication within a single mathematical formalism for the first time, introducing testable theories such as semantic geometry and semantic thermodynamics. By constructing a unified theoretical framework for the emergence of semantic intelligence, it offers a novel, experimentally verifiable pathway toward understanding both artificial and biological intelligence.

Abstract

Despite remarkable advances in artificial intelligence and cognitive neuroscience, no generally accepted first-principle explains why intelligent systems organize latent semantic states as they do. Existing frameworks such as information theory, the Information Bottleneck, the Degree of Information Abstraction, predictive coding and the Free Energy Principle provide powerful frameworks for understanding communication, learning, and prediction, but do not explicitly explain the emergence and organization of semantic intelligence. Here we propose the \textbf{Semantic Least-Energy Principle (SLEP)} as a hypothesis that intelligent systems evolve internal representations by maximizing semantic utility while progressively minimizing semantic, predictive, and computational energy. We formulate this hypothesis within a variational framework in which semantic cognition is governed by a Semantic Action Functional whose stationary solutions define efficient trajectories on a latent semantic manifold. This formulation emerges a series of theoretical predictions, including semantic geometry, semantic thermodynamics, and low-energy latent semantic states as complementary consequences of the same underlying optimization process. SLEP unifies semantic abstraction, reasoning, planning, and communication within a common mathematical framework while generating experimentally testable predictions for both artificial and biological intelligence. Although the hypothesis remains to be rigorously validated, it provides a principled foundation for investigating semantic intelligence from a first-principle perspective.

Problem

• semantic intelligence
• first-principle
• latent semantic states
• emergence
• organization

Innovation

• Semantic Least-Energy Principle
• variational framework
• semantic manifold
• semantic cognition
• first-principle theory