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Acta Scientific Computer Sciences

Mini Review Volume 2 Issue 9

Revisiting the Author’s Topological Experiment

S Kalimuthu*

Program for Cosmology, Pollachi, Tamil Nadu, India

*Corresponding Author: S Kalimuthu, Program for Cosmology, Tamil Nadu, India.

Received: July 10, 2020; Published: August 08, 2020

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Abstract

 In 2014, the author has posted an article [5] to ViXra pre print archive. It is well known that this similar posting to arXiv. In Euclidean geometry, the sum of the interior angles of a triangle is 180 degrees. But in hyperbolic space it is less than 180 degrees and in elliptical/spherical geometry it is more than 180 degrees. The non Euclidean geometries are being widely applied in physics, quantum mechanics and cosmology. Keeping this view in mind, the author attempts to show experimentally that a straight line and a circle are similar. But it is not real in pure topology. The research community may find a clue in this work for further development in robotics engineering and applications.

Keywords: Rubber Band Experiment; A New Topology; Engineering Applications

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References

  1. K Janice. Topology. Springer (1984).
  2. MA Armstrong. Basic Topology. Springer (1983).
  3. J Dugundji. Topology. Boston: Allyn and Bacon (1966)
  4. Stephen Barr. Experiments in Topology, Dover Publications (1999).
  5. S Kalimuthu. On an Experimental Topology, viXra:1402.0155 (2014).
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Citation

Citation: S Kalimuthu. “Revisiting the Author’s Topological Experiment". Acta Scientific Computer Sciences 2.9 (2020): 13-14.




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