Wavelength-Dependent Light Intensity Law with Environmentally Conditioned Exponent Structure: A Unified Classical-Quantum Model

We propose a novel semi-empirical light intensity model that unifies classical optical laws with environmental and quantum-scale interaction effects. The formulation introduces variable exponent parameters (α, β) that depend on experimental conditions such as temperature, electrical charge, and medium properties. The model also incorporates a material-specific coefficient K(environment), reflecting baseline optical characteristics. Validation against experimental data from known scattering and photochemical studies demonstrates consistency and predictive potential of the proposed expression.The author acknowledges the use of OpenAI’s language model for assistance in drafting certain sections of this work.