Observerse - Revision history

Aardvark at 16:43, 19 February 2023

2023-02-19T16:43:23Z

← Older revision		Revision as of 16:43, 19 February 2023
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	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.		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 ==		== Exogenous ==

Aardvark at 16:43, 19 February 2023

2023-02-19T16:43:10Z

← Older revision		Revision as of 16:43, 19 February 2023
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	The '''observerse''' is the central mathematical object in the [[Theory of Geometric Unity]]. It is a mapping from a four-dimensional manifold $X^4$ to a manifold $Y$, 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.		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 ==		== Exogenous ==
	In the observerse's exogenous construction, the manifold $X^4$ includes into any manifold $Y$ of four dimensions or higher which can admit it as an immersion.		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.

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

	== Bundle-Theoretic ==		== Bundle-Theoretic ==
	In the observerse's bundle-theoretic construction, the manifold $Y$ sits over $X^4$ as a fiber bundle.		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]]		[[File:Observerse-Bundle-Theoretic.jpg]]

	== Endogenous ==		== Endogenous ==
	In the observerse's endogenous construction, $Y$ is the space of metrics on the manifold $X^4$.		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]]		[[File:Observerse-Endogenous.jpg]]

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

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

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

Aardvark at 01:20, 1 April 2021

2021-04-01T01:20:13Z

← Older revision		Revision as of 01:20, 1 April 2021
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	== Bundle-Theoretic ==		== Bundle-Theoretic ==
	In the observerse's bundle-theoretic construction, the manifold $Y$ sits over $X^4$ as a fiber bundle.		In the observerse's bundle-theoretic construction, the manifold $Y$ sits over $X^4$ as a fiber bundle.

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

	== Endogenous ==		== Endogenous ==

Aardvark at 01:19, 1 April 2021

2021-04-01T01:19:36Z

← Older revision		Revision as of 01:19, 1 April 2021
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	== Endogenous ==		== Endogenous ==
	In the observerse's endogenous construction, $Y$ is the space of metrics on the manifold $X^4$.		In the observerse's endogenous construction, $Y$ is the space of metrics on the manifold $X^4$.

			[[File:Observerse-Endogenous.jpg]]

	== Tautological ==		== Tautological ==

Aardvark at 01:16, 1 April 2021

2021-04-01T01:16:41Z

← Older revision		Revision as of 01:16, 1 April 2021
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	The '''observerse''' is the central mathematical object in the [[Theory of Geometric Unity]]. It is a mapping from a four-dimensional manifold $X^4$ to a manifold $Y$, ~~from~~ which ~~the theory is built~~. There are four different constructions of the observerse: exogenous, bundle-theoretic, endogenous, and tautological. Each generates a possible Geometric Unity theory.		The '''observerse''' is the central mathematical object in the [[Theory of Geometric Unity]]. It is a mapping from a four-dimensional manifold $X^4$ to a manifold $Y$, 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 ==		== Exogenous ==
			In the observerse's exogenous construction, the manifold $X^4$ includes into any manifold $Y$ of four dimensions or higher which can admit it as an immersion.

			$$ X^4 \hookrightarrow Y $$

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

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

	== Tautological ==		== Tautological ==
			In the observerse's tautological construction, the manifold $X^4$ equals $Y$.

			$$ X^4 = Y $$

	~~[[category:Ericisms]]~~
	[[Category:Geometric Unity]]		[[Category:Geometric Unity]]
			[[Category:Ericisms]]

Aardvark at 01:05, 1 April 2021

2021-04-01T01:05:10Z

@@ Line 1: / Line 1: @@
-{{Stub}}
+The '''observerse''' is the central mathematical object in the [[Theory of Geometric Unity]]. It is a mapping from a four-dimensional manifold \(X^4\) to a manifold \(Y\), from which the theory is built. There are four different constructions of the observerse: exogenous, bundle-theoretic, endogenous, and tautological. Each generates a possible Geometric Unity theory.
 [[category:Ericisms]]
 [[Category:Geometric Unity]]

Aardvark at 23:54, 13 February 2021

2021-02-13T23:54:46Z

← Older revision		Revision as of 23:54, 13 February 2021
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	{{Stub}}		{{Stub}}
	[[category:Ericisms]]		[[category:Ericisms]]
			[[Category:Geometric Unity]]

Aardvark at 21:35, 1 February 2021

2021-02-01T21:35:27Z

← Older revision		Revision as of 21:35, 1 February 2021
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			{{Stub}}
	[[category:Ericisms]]		[[category:Ericisms]]

Aardvark: Aardvark moved page The Observerse to Observerse: See page title of https://en.wikipedia.org/wiki/Universe

2021-01-30T21:36:54Z

Aardvark moved page The Observerse to Observerse: See page title of https://en.wikipedia.org/wiki/Universe

← Older revision	Revision as of 21:36, 30 January 2021
(No difference)

Pyrope: Created page with "category:Ericisms"

2021-01-23T03:16:44Z

Created page with "category:Ericisms"

New page

[[category:Ericisms]]