| _version_ | 1866901351376617472 |
|---|---|
| author | Yashin, Eugene |
| author_facet | Yashin, Eugene |
| contents | <p>This perspective essay proposes geometric coherence as a conceptual framework linking three systems in which form, function, instability, and recovery are closely coupled: mitochondrial cristae, negatively curved carbon schwarzites, and neural recovery after stroke. The work does not claim a unified physical law or direct causal equivalence between these systems. Instead, it argues that across biological, material, and neural contexts, geometry can act as an organizing constraint: damage or instability corresponds to a loss of coherent functional form, while recovery or relaxation corresponds to the search for a new stable geometry. </p> <p>The essay connects mitochondrial membrane architecture and bioenergetic organization, ab initio studies of D-type carbon schwarzite C136 showing spin-polarized and soft-mode instabilities, and first-person observations of post-stroke motor recovery. It frames recovery not merely as restoration of a previous state, but as reconstruction toward a new functional attractor. The central thesis is summarized as: form is not given; form is found.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20038277 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Coherence Across Three Scales: Cristae, Schwarzites, and Neural Recovery Yashin, Eugene geometric coherence, negative curvature, schwarzite, mitochondrial cristae, neural recovery, stroke recovery, neuroplasticity, complex systems, computational physics, conceptual framework <p>This perspective essay proposes geometric coherence as a conceptual framework linking three systems in which form, function, instability, and recovery are closely coupled: mitochondrial cristae, negatively curved carbon schwarzites, and neural recovery after stroke. The work does not claim a unified physical law or direct causal equivalence between these systems. Instead, it argues that across biological, material, and neural contexts, geometry can act as an organizing constraint: damage or instability corresponds to a loss of coherent functional form, while recovery or relaxation corresponds to the search for a new stable geometry. </p> <p>The essay connects mitochondrial membrane architecture and bioenergetic organization, ab initio studies of D-type carbon schwarzite C136 showing spin-polarized and soft-mode instabilities, and first-person observations of post-stroke motor recovery. It frames recovery not merely as restoration of a previous state, but as reconstruction toward a new functional attractor. The central thesis is summarized as: form is not given; form is found.</p> |
| title | Geometric Coherence Across Three Scales: Cristae, Schwarzites, and Neural Recovery |
| topic | geometric coherence, negative curvature, schwarzite, mitochondrial cristae, neural recovery, stroke recovery, neuroplasticity, complex systems, computational physics, conceptual framework |
| url | https://doi.org/10.5281/zenodo.20038277 |