What is Space? An Un-Noticed Relation

Space As Extension of Time Coordinate

Einstein introduced 4 dimensional coordinate as the unification of time coordinate and space coordinate. The definition of space comes out from the divergence of x^µ that has never been pointed out by anyone so far.

x^µ is the 4 dimensional coordinate such that x^µ = (x⁰, xⁱ) = (ct, xⁱ)

The divergence of x^µ implies that

x^µ_,µ = Ñ.x + ¶x⁰/¶t

Ñ.x + ¶x⁰/¶t = o

Ñ.x = - ¶x⁰/¶t

This equation shows that space is extension of time coordinate or in more familiar language, it is the equation of continuity of spacetime

REFERENCE:

[1]. Naveed Hussain (2017),” Theory of Everything TOE: Basic Framework” Submitted to Frontiers of Physics, China, June 29,2017, Manuscript ID: FOP-2017- 0111