Contrast-Induced Topology: A Structural Framework for Emergence and Identity
Fuente:
Zenodo
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Recurso digital |
| Publicado: |
Zenodo
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866902230874980352 |
|---|---|
| author | André Hampshire, André Hampshire Moreira |
| author_facet | André Hampshire, André Hampshire Moreira |
| contents | <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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15466518 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Contrast-Induced Topology: A Structural Framework for Emergence and Identity André Hampshire, André Hampshire Moreira contrast topology structural emergence perceptual threshold contrast field Betti numbers ontological identity metric emergence wave-particle duality contrast-induced metric space enclosure topology angular intensity structural bifurcation perceptual topology contrast-based physics structural ontology relational topology identity emergence theoretical physics <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> |
| title | Contrast-Induced Topology: A Structural Framework for Emergence and Identity |
| topic | contrast topology structural emergence perceptual threshold contrast field Betti numbers ontological identity metric emergence wave-particle duality contrast-induced metric space enclosure topology angular intensity structural bifurcation perceptual topology contrast-based physics structural ontology relational topology identity emergence theoretical physics |
| url | https://doi.org/10.5281/zenodo.15466518 |