New Horizons in Mathematical Physics

Download PDF (449.1 KB) PP. 19 - 25 Pub. Date: June 23, 2017

DOI: 10.22606/nhmp.2017.11003

• Mark D. Roberts^*
  Flat 44, The Cloisters, 83 London Road, Guildford, GU1 1FY, UK

In a certain sense Riemannian geometry can be thought of as geometry built up from the Finslerian properties of point particles. The string and membrane generalization of this to a geometry similar but not the same as Finslerian geometry is investigated. Solely classical arguments suggest a physical interpretation in which microscopic strings are directly related to macroscopic geometry; alternatively the resulting geometry can be interpreted as that describing microscopic spacetime. The construction presented can be thought of as providing a mechanism for oxidization.

Dimension, dimensional increase, finsler-like geometry, membrane.

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