1111 Submissions

[1] viXra:1111.0092 [pdf] submitted on 24 Nov 2011

Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry

Authors: Alexander Egoyan
Comments: 6 pages.

In this work a new approach to multidimensional geometry based on smooth infinitesimal analysis (SIA) is proposed. An embedded surface in this multidimensional geometry will look different for the external and internal observers: from the outside it will look like a composition of infinitesimal segments, while from the inside like a set of points equipped by a metric. The geometry is elastic. Embedded surfaces possess dual metric: internal and external. They can change their form in the bulk without changing the internal metric.
Category: Geometry