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Open AccessProceedings

Local Mathematics and No Information at a Distance; Some Effects on Physics and Geometry

Argonne national laboratory, Argonne, IL 60439, USA
In Proceedings of the Conference Theoretical Information Studies, Berkeley, CA, USA, 2–6 June 2019.
Proceedings 2020, 47(1), 3; https://doi.org/10.3390/proceedings47010003
Published: 19 May 2020
(This article belongs to the Proceedings of IS4SI 2019 Summit)
Local mathematics consists of a collection of mathematical systems located at each space and time point. The collection is limited to the systems that include numbers in their axiomatic description. A scalar map between systems at different locations is based on the distinction of two conflated concepts, number and number value. The effect that this setup has on theory descriptions of physical and geometric systems is described. This includes a scalar spin 0 field in gauge theories, expectation values in quantum mechanics and path lengths in geometry. The possible relation of the scalar map to consciousness is noted.
Keywords: local mathematics; information; distance; physics; geometry local mathematics; information; distance; physics; geometry
MDPI and ACS Style

Benioff, P. Local Mathematics and No Information at a Distance; Some Effects on Physics and Geometry. Proceedings 2020, 47, 3.

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