Alexander Edward Egoyan
Alexander Edward Egoyan | |
|---|---|
| Known for | Elastic membrane model of multidimensional geometry based on smooth infinitesimal analysis |
| Scientific career | |
| Fields | Theoretical physics, geometry |
| Institutions | University Geomedi, Tbilisi |
Alexander Edward Egoyan is a researcher associated with the University Geomedi in Tbilisi, Georgia, known for proposing a model of multidimensional geometry based on smooth infinitesimal analysis. He is listed in The Worldwide List of Dissident Scientists.
Ideas
Egoyan proposes a new approach to multidimensional geometry founded on smooth infinitesimal analysis (SIA), a framework that uses nilpotent infinitesimals and in which all functions are taken to be continuous and infinitely differentiable. In his model the fundamental objects are elastic membranes: an embedded surface is described as possessing a dual metric, so that it appears differently to external and internal observers, and can change its shape while preserving its internal structure.
He extends this geometric picture into a proposed "elastic model of multidimensional geometry" for physics, in which reality is treated as the time evolution of holistic macroscopic objects understood as elastic membranes. Egoyan has also applied the membrane idea to a model of human perception. These proposals are speculative and lie outside the accepted scientific mainstream.