## The Geometry of Spacetime

**Authors:** Richard A Jowsey

The fundamental fabric of spacetime is revealed by deep Dimensional Analysis of the Planck Units of mass, energy, and electromagnetism. Using a little-known expression derived by James Clerk Maxwell for the dimensional reduction of mass and charge into units of length and inverse-time (frequency), all of the physical quantities can be expressed in terms of metres and inverse-seconds (Hz). On arranging these quantities into a 2D log-log space/time matrix, simple (but compelling) patterns emerge in the mathematical relationship between fundamental units. The space/time matrix requires five spatial dimensions to accommodate the physical units, two of which are shown to be imaginary spatially-gauged wavelengths, i.e. unobservable dimensions of complex 5+1D spacetime, measured in metres, which exist (mathematically), but are not real.

**Comments:** 13 Pages.

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### Submission history

[v1] 2016-12-31 21:01:16

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