Editing Observerse

The '''observerse''' is the central mathematical object in the [[Theory of Geometric Unity]]. It is a mapping from a four-dimensional manifold <math>X^4</math> to a manifold <math>Y</math>, which replaces Einstein's spacetime. There are four different constructions of the observerse: exogenous, bundle-theoretic, endogenous, and tautological. Each generates a possible Geometric Unity theory.

== Exogenous ==
In the observerse's exogenous construction, the manifold <math>X^4</math> includes into any manifold <math>Y</math> of four dimensions or higher which can admit it as an immersion.

<math> X^4 \hookrightarrow Y </math>

== Bundle-Theoretic ==
In the observerse's bundle-theoretic construction, the manifold <math>Y</math> sits over <math>X^4</math> as a fiber bundle.

[[File:Observerse-Bundle-Theoretic.jpg]]

== Endogenous ==
In the observerse's endogenous construction, <math>Y</math> is the space of metrics on the manifold <math>X^4</math>.

[[File:Observerse-Endogenous.jpg]]

== Tautological ==
In the observerse's tautological construction, the manifold <math>X^4</math> equals <math>Y</math>.

<math> X^4 = Y </math>

[[Category:Geometric Unity]]
[[Category:Ericisms]]