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Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry

Author:

Egoyan, Alexander Edward

Category:

Research Papers

Sub-Category:

Mathematical Physics

Language:

English

Date Published:

November 26, 2011

File:

/Research Papers-Mathematical Physics/Download/3795

Downloads:

951

Keywords:

N/A

Abstract:

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.

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