Tallennettuna:
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| Aineistotyyppi: | Recurso digital |
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| Julkaistu: |
Zenodo
2025
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| Linkit: | https://doi.org/10.5281/zenodo.17569228 |
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Sisällysluettelo:
- <p>Since the development of modern physics, a central unresolved problem has been the absence of a minimal structural principle capable of bridging classical mechanics, electromagnetic field theory, and quantum phenomena within a single coherent geometric framework. While existing unification efforts often introduce increasing mathematical complexity or domain-specific assumptions, they frequently leave unanswered whether a shared boundary-based structure governs stability, transition, and breakdown across physical regimes.</p> <p>This work introduces the <strong>Structural Unified Field (SUF) equation</strong> as a minimal geometric formulation based on boundary-constrained tension. Rather than postulating a new force or interaction, the SUF framework characterizes systems through a dimensionless structural ratio, β, representing proximity to an intrinsic boundary condition. The resulting SUF function defines a universal geometric constraint on stability, transition, and collapse that is independent of scale and physical substrate.</p> <p>Crucially, the SUF equation is not proposed as a complete domain-specific theory, but as a <strong>generative structural kernel</strong> capable of projection into multiple applied domains. Under domain-specific interpretations of β, the same boundary-based geometry gives rise to distinct but structurally homologous models. This projection principle distinguishes SUF from conventional unification approaches by emphasizing structural transferability rather than reductive unification.</p> <p>Recent work has demonstrated how this minimal geometric structure can be instantiated within concrete domains. In the economic domain, the SUF geometry underlies the <strong>Economic Relativity Model (ERM)</strong>, where β corresponds to incentive-boundary proximity and governs macroeconomic instability and crisis formation. The ERM framework provides a falsifiable, data-driven application of SUF to real economic systems:</p> <p><strong>Economic Relativity Model (ERM):</strong><br><a href="https://zenodo.org/records/17538941" target="_new" rel="noopener">https://zenodo.org/records/17538941</a></p> <p>In the cognitive domain, the same SUF geometry gives rise to the <strong>Structural Cognitive Field (SCF)</strong>, where β represents the ratio between encoded information and encodable informational capacity within a system. SCF models attention, awareness, and cognitive focusing as structured tension states within an informational field, offering a domain-agnostic geometric account of consciousness and cognition:</p> <p><strong>Structural Cognitive Field (SCF):</strong><br><a href="https://zenodo.org/records/17927709" target="_new" rel="noopener">https://zenodo.org/records/17927709</a></p> <p>At the behavioral and political level, the SUF geometry is instantiated through <strong>Behavioral Boundary Relativity (BBR)</strong>, which applies the same boundary-based structural constraints to collective behavior, political stability, and regime transition. In BBR, β characterizes proximity to behavioral and legitimacy boundaries, providing a falsifiable framework for analyzing stability, collapse, and regime change across political systems:</p> <p><strong>Behavioral Boundary Relativity (BBR):</strong><br><a href="https://zenodo.org/records/18139321" target="_new" rel="noopener">https://zenodo.org/records/18139321</a></p> <p>Taken together, these instantiations demonstrate that the SUF equation functions as a transferable structural kernel rather than a standalone physical theory. Classical, electromagnetic, quantum, economic, cognitive, and behavioral systems can be viewed as distinct projections of the same boundary-based geometry, each inheriting identical stability constraints while differing in domain-specific interpretation.</p> <p>For a comprehensive exposition of the SUF framework—including its conceptual motivation, geometric formulation, and cross-domain implications beyond the scope of a single article—the full structural development is presented in monographic form:</p> <p><strong>Structural Unified Field: Boundary, Tension, and the Geometry of Existence</strong><br><a href="https://www.amazon.com/dp/B0FTTGVCNJ" target="_new" rel="noopener">https://www.amazon.com/dp/B0FTTGVCNJ</a></p> <p>The present work establishes the minimal mathematical form of the Structural Unified Field equation and clarifies its role as a unifying geometric bridge, leaving detailed empirical validation and domain-specific elaboration to specialized frameworks such as ERM, SCF, and BBR.</p>