محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Recurso digital |
| اللغة: | |
| منشور في: |
Zenodo
2025
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://doi.org/10.5281/zenodo.15466518 |
| الوسوم: |
إضافة وسم
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جدول المحتويات:
- <p>This manuscript presents a formal framework in which spatial structure, identity, and topological complexity emerge not from predefined geometry, but from the accumulation of contrast across a perceptual aperture. By introducing a scalar contrast field C(x) and defining structural emergence through a resolution threshold, the theory constructs a contrast-induced metric, resolution-dependent Betti numbers, and a novel classification of structural forms.</p> <p>The work introduces the concept of the shire — the minimal unit of contrast required for perceptual emergence — and shows how individuation, enclosure, and multiplicity follow from contrast bifurcation and angular intensity collapse. Topological features such as particles, waves, and loops are shown to arise through threshold-crossing events in the contrast field, with structural transitions formalized through Betti dynamics. This leads to a principled, contrast-resolved ontology that distinguishes between unity and multiplicity not by assumption, but by structural integration over finite perceptual domains.</p> <p>The framework offers a new approach to understanding wave–particle duality, topological individuation, and emergent metric spaces, with potential applications to foundational physics, perceptual systems, and emergent spacetime models. Definitions, theorems, and schematic diagrams are included to support formal analysis and conceptual clarity.</p>