Structured Potential Expression Theory (SPET) is an ongoing research project exploring the relationships among structured possibility, probability, realized physical outcomes, history, and observer-specific experience. This upload contains Revision 3 of the working reference together with the previous Revision 2 reference for development history. These documents are working drafts intended to preserve the project's evolution. They are not peer reviewed and should not be interpreted as established physics or experimental confirmation. The framework distinguishes between mathematical definitions, candidate postulates, derived identities, interpretive principles, observer-framework concepts, and proposed experimental programs.
Structured Potential Expression Theory (SPET) is an ongoing research project exploring the relationships among structured possibility, probability, realized physical outcomes, history, and observer-specific experience. This upload contains Revision 3 of the working reference together with the previous Revision 2 reference for development history. These documents are working drafts intended to preserve the project's evolution. They are not peer reviewed and should not be interpreted as established physics or experimental confirmation. The framework distinguishes between mathematical definitions, candidate postulates, derived identities, interpretive principles, observer-framework concepts, and proposed experimental programs.
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.
This document is an archived working version representing the earliest and most preliminary attempt to outline the ideas that later evolved into the SpecularField Theory. It contains initial notes, conceptual sketches, and early interpretations produced during the very beginning of the research program. The material presented here does not reflect the current formulation of the theory. It was drafted during the first exploratory phase, when the conceptualstructure was still undefined and the framework was being assembled through trial, error, and iterative correction. These early ideas were subsequentlyrevised, reorganized, and superseded by later working papers. This record is preserved for developmental continuity and scientific transparency. Early drafts, even when immature or incomplete, document how thetheory began, how the initial concepts were formed, and how the framework progressively evolved. The purpose of sharing these materials is not to presentfinished results, but to provide insight into the intellectual process and to encourage open dialogue and constructive critique.
This registration preserves a consolidated, time-stamped version of the principal works comprising the Necessity programme in natural physics. The collection includes *The Necessity of Structure*, *The Necessity of Quantum Structure*, *The Necessity of Natural Physics*, the finite-response master-equation work, and related supporting papers. Taken together, these works develop a necessity-first method for physical theory. Rather than beginning with spacetime, matter, fields, particles, observers, information, probability, or established mathematical structures as unexplained assumptions, the programme asks which structures must exist for a physical world to be coherent, distinguishable, and empirically describable. Each subsequent structure is admitted only where it can be justified by the preceding requirements. The programme proceeds from minimal structural conditions through quantum structure, composition, localisation, interaction, gravitation, cosmology, and finite numerical response. The master-equation work provides a compact mathematical expression of the programme’s finite-response structure and connects the general framework to identifiable physical regimes and numerical tests. The remaining papers develop particular consequences, applications, and consistency conditions. Unlike earlier registrations containing individual works or stages of the programme, this registration preserves the principal corpus as a unified collection. Its purpose is to establish a stable public record of the programme’s scope, internal development, authorship, and contents as they existed on the registration date. Earlier documentary materials may additionally record the historical development of the underlying ideas; those records should be distinguished from the later complete mathematical formulation. This is a registration of an existing theoretical research corpus. It is not a preregistration of a proposed experiment or empirical study.
This work introduces the foundations of an observer-dependent informational theory of physics.Rather than proposing a closed or final model, the paper establishes the conceptual and methodological architecture of a unified research program in which physical phenomena are described through observer-accessible informational states. The theory treats the observer as an integral component of physical description, rather than as an external disturbance or purely abstract entity.Information is defined operationally, as a relational construct linking observation, structure, and temporal coherence. The paper does not present new mathematical derivations.Instead, it provides a stable foundational framework that unifies a set of modular technical works, each addressing specific physical, cognitive, or interpretative problems. Mathematical formulations, empirical models, and testable predictions are delegated to the corresponding modular papers, allowing the theory to evolve through falsification and refinement without requiring repeated foundational revision. This contribution is intended as a foundational reference for an evolving observer-centered informational approach to physics.
This document is an archived working version representing an early and incomplete attempt to describe the dual-sheet informational dynamics that were later developed in more refined working papers. It contains preliminary ideas and an initial conceptual sketch of the structure that was referred to as Specular Quantum Dynamics and Emergent Relativity during the exploratory phase of the research program. The material presented here does not reflect the current formulation of the Specular Field Theory. It was drafted as an early attempt to organize the dual-sheet manifold, the specular field, the informational boson, and the interpretation of quantum and geometric regimes as complementary limits of a single informational mechanism. These ideas were subsequently revised, refined, and superseded by later documents. This record is preserved only for developmental continuity and traceability across prior versions. Updated working papers provide improved conceptual clarity, revised interpretations, and the current direction of the framework.
Specular Series — Overview of Prior VersionsWorking Paper Collection Valentina MoroniORCID: 0009-0009-5931-1106Independent ResearcherLondon, United Kingdom2026 Overview The Specular Series collects the earlier conceptual and exploratory works produced during the initial development of the Specular Field Theory (SFT). These documents represent prior versions and preliminary formulations of ideas that have since evolved into more refined structures and updated interpretations. This page provides an overview of prior versions, preserving the developmental trajectory of the framework and maintaining traceability across its successive iterations. The works listed here do not represent the current formulation of the theory; they are retained solely to document the progression of concepts, terminology, and structural approaches explored during the early stages of research. It does not represent the current state of the theory. The concepts presented here were drafted during the initial try-error phase of the work, before the framework was refined, reorganized, and superseded by more recent documents. These early attempts are preserved intentionally to maintain developmental continuity and to document how the theory evolved through iteration, correction, and conceptual restructuring.