Structured Potential Expression Theory (SPET): A Proposal for a Conceptual-Mathematical Framework of Reality

Structured Potential Expression Theory (SPET) is a developing conceptual-mathematical framework for describing how structured possibility becomes expressed experience. The theory proposes that reality is not only what is currently observed or experienced, but also includes a deeper space of physically distinct potential states allowed by structure. SPET introduces two central equations: a physical potential-space equation and an expression-selection equation. The physical potential-space equation defines potential as the set of physically distinct states allowed by structure, with redundant descriptions removed. The expression-selection equation proposes that experienced expression is guided by probability, conditions, and structural compatibility. This draft applies SPET to several early test models, including the quantum harmonic oscillator, double-well potential, simple U(1) lattice gauge theory, Ising model, spontaneous symmetry breaking, and free scalar field. These examples are used to test whether SPET can map onto known mathematical and physical systems. This work is speculative and should not be treated as a completed physical theory. It is presented as an early proposal for further development, criticism, and refinement.