Semantic Relativity Theory: An Information-Geometric Extension to Cognitive Gravity and Advertising Optimization

We propose Semantic Relativity Theory, a novel extension of General Relativity that incorporates information and semantic fields into the curvature of spacetime, leveraging recent advances in Information Geometry Gravity. This framework unifies physical mass-energy with cognitive-semantic energy, leading to the concept of Semantic Black Holes—regions of argumental collapse where perspectives become irreversibly trapped under high semantic tension. We derive a modified Einstein equation where a semantic stress-energy tensor is introduced, ensuring dimensional consistency with the physical stress-energy tensor. We present a detailed Lagrangian formulation, including full variational steps, and derive conservation laws for the semantic stress-energy tensor. We define a semantic field χ with its own wave equation, and propose a toy metric ansatz to demonstrate Hawking-Type Semantic Radiation. Finally, we apply this formalism to construct an Advertising Optimization Model, deriving a semantic uplift expression, and validating via large-scale AI-based simulation of 200,000 virtual users, showing an average CTR uplift of 12.3% (95% CI, p<0.001). We outline a roadmap for ethical considerations (GDPR/CCPA compliance) and propose interventions against echo chambers. Notably, all code, data, and simulation scripts will be released under an open-source MIT license to ensure full reproducibility and community-driven validation.

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