A Unified Energy Kernel and GIG-Based Transform Structure Underlying Blackbody Radiation
Abstract
This work presents a unified mathematical framework for blackbody radiation based on a generalized inverse Gaussian (GIG) energy kernel. By enforcing an energy-unification condition across Planck, de Broglie, and relativistic energy expressions, the mass parameter is eliminated, yielding a purely thermodynamic spectral kernel. The framework naturally recovers Planck’s law as a special case and provides a parametric family of generalized blackbody spectra applicable to ideal and non-ideal radiators.
Fields of Study & Subjects
Radiative Heat Transfer Studies
Thermal Radiation and Cooling Technologies
Calibration and Measurement Techniques
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 30 January 2026
- Language
- EN
- Document type
- Preprint