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March 29, 20260 citationsOpen Access

The Core Feasibility Theorem of the Finite Structured-State Transformation Principle

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TPTaylor Prather

Key Points

  • The paper aims to derive and outline the core feasibility structure of the Finite Structured-State Transformation Principle based on foundational premises.
  • Derivation based on three premises: finite capacity, energetic cost of state change, and finite interaction.
  • Development of a five-slot feasibility operator.
  • Identification of three transformation failure modes and two unconditional structural domains.
  • Established four unconditional transformation modes.
  • Introduced a conditional relational extension.
  • Provided a shared constraint structure for additional refinement and partition modes.

Abstract

Companion paper to the Finite Structured-State Transformation Principle theorem set. Version 1.0. March 2026. This paper derives the core feasibility structure of the Finite Structured-State Transformation Principle (FSSTP) from three physically grounded premises: finite capacity, energetic cost of state change, and finite interaction. From these premises it derives a five-slot feasibility operator, three transformation failure modes, two unconditional structural domains, four unconditional transformation modes, and a conditional relational extension. This paper provides the shared constraint structure for the companion mode papers on refinement, release, transfer, and partition.

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Cite This Study

Taylor Prather (2026) studied this question.

synapsesocial.com/papers/69c8c336de0f0f753b39dea0https://doi.org/10.5281/zenodo.19238723
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