Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry

@inproceedings{Egoyan2011SmoothIA,
  title={Smooth Infinitesimal Analysis Based Model of Multidimensional Geometry},
  author={Alexander Egoyan},
  year={2011}
}
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… CONTINUE READING

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