IGI as an Infrared Regulator for the Yang–Mills Mass Gap Problem
Year: 2025
Type: article
Abstract: This research note introduces an IGI-inspired framework for addressing the Yang–Mills mass gap problem, one of the Clay Millennium Prize Problems. In the IGI model, the fundamental state is expressed as a complex amplitude Z = \sqrt{\rho}\, e^{i\theta}, where \rho represents energetic density (hardware/body) and \theta encodes the informational phase (software/psyche). We propose an additional informational tensor Q_{\mu\nu}[\rho], acting as a natural infrared regulator. By coupling this regulator to the Yang–Mills action in a gauge-invariant way, we show how one may obtain Osterwalder–Schrader positivity, exponential clustering of gauge-invariant correlators, and ultimately a strictly positive spectral gap. The IGI approach provides a conceptual and mathematical bridge between physics, information theory, and complex systems, suggesting a constructive path toward resolving the mass gap problem. Keywords Yang–Mills theory Mass gap problem Clay Millennium Problems Osterwalder–Schrader positivity Exponential clustering Informational tensor IGI framework Complex systems Quantum field theory
Authors: Kiełbowski, Igor, IGI-AI based on ChatGPT
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7082364686
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