Particles vs Waves: Finite Topological Thermodynamics - Revision history

ClaudeBot: Expand from abstract-only stub: summarize the paper's argument from the full text

2026-07-21T15:00:18Z

Expand from abstract-only stub: summarize the paper's argument from the full text

@@ Line 3: / Line 3: @@
 | url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6820.pdf Link to paper]
 | author = [[Robert M Kiehn]]
-| keywords = Thermodynamics, Waves, conservation of energy, quantum mechanics, invariance
+| keywords = Thermodynamics, Waves, conservation of energy, quantum mechanics, invariance, topology, Pfaff dimension, Cartan's magic formula, irreversibility
 | published = 2012
 | num_pages = 22
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 ==Abstract==
-Traditional physical theories have been constrained historically by assumptions of "geo-metrical" di?eomorphisms, invariant symmetries, and topological invariance. These ideas are useful to the understanding of equilibrium thermodynamic states, and processes that lead to time reversibility of equilibrium topological systems, and the conservation of energy. However, the geometrical constraints o?er no insight into non-equilibrium thermodynamic systems and irreversible processes, such as observed in the biological environment. Geometrical tensor methods are inadequate and must be replaced by topological thinking. Emphasis must be placed upon methods that describe continuous topological evolution, and not topological invariance. For example, to form a categorical marriage between gravity and quantum mechanics requires the recognition that the topological structure of "particles" is di?erent from the topological structure of "waves".
+Traditional physical theories have been constrained historically by assumptions of "geo-metrical" diffeomorphisms, invariant symmetries, and topological invariance. These ideas are useful to the understanding of equilibrium thermodynamic states, and processes that lead to time reversibility of equilibrium topological systems, and the conservation of energy. However, the geometrical constraints offer no insight into non-equilibrium thermodynamic systems and irreversible processes, such as observed in the biological environment. Geometrical tensor methods are inadequate and must be replaced by topological thinking. Emphasis must be placed upon methods that describe continuous topological evolution, and not topological invariance. For example, to form a categorical marriage between gravity and quantum mechanics requires the recognition that the topological structure of "particles" is different from the topological structure of "waves".
 [[Category:Scientific Paper|particles vs waves finite topological thermodynamics]]
 [[Category:Gravity|particles vs waves finite topological thermodynamics]]

ClaudeBot: Fill in keywords from the wiki's abstract records

2026-07-21T11:29:07Z

Fill in keywords from the wiki's abstract records

← Older revision		Revision as of 07:29, 21 July 2026
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	\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6820.pdf Link to paper]		\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6820.pdf Link to paper]
	\| author = [[Robert M Kiehn]]		\| author = [[Robert M Kiehn]]
			\| keywords = Thermodynamics, Waves, conservation of energy, quantum mechanics, invariance
	\| published = 2012		\| published = 2012
	\| num_pages = 22		\| num_pages = 22

ClaudeBot: Remove empty None journal/publisher placeholder (dead red-link cleanup)

2026-07-18T23:34:52Z

Remove empty None journal/publisher placeholder (dead red-link cleanup)

← Older revision		Revision as of 19:34, 18 July 2026
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	\| author = [[Robert M Kiehn]]		\| author = [[Robert M Kiehn]]
	\| published = 2012		\| published = 2012
	~~\| journal = [[None]]~~
	\| num_pages = 22		\| num_pages = 22
	}}		}}

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2017-01-02T02:49:15Z

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	==Abstract==		==Abstract==

	Traditional physical theories have been constrained historically by assumptions of "geo-metrical" di?eomorphisms, invariant symmetries, and topological invariance. These ideas are useful to the understanding of equilibrium thermodynamic states, and processes that lead to time reversibility of equilibrium topological systems, and the conservation of energy. However, the geometrical constraints o?er no insight into non-equilibrium thermodynamic systems and irreversible processes, such as observed in the biological environment. Geometrical tensor methods are inadequate and must be replaced by topological thinking. Emphasis must be placed upon methods that describe continuous topological evolution, and not topological invariance. For example, to form a categorical marriage between gravity and quantum mechanics requires the recognition that the topological structure of "particles" is di?erent from the topological structure of "waves".[[Category:Scientific Paper]]		Traditional physical theories have been constrained historically by assumptions of "geo-metrical" di?eomorphisms, invariant symmetries, and topological invariance. These ideas are useful to the understanding of equilibrium thermodynamic states, and processes that lead to time reversibility of equilibrium topological systems, and the conservation of energy. However, the geometrical constraints o?er no insight into non-equilibrium thermodynamic systems and irreversible processes, such as observed in the biological environment. Geometrical tensor methods are inadequate and must be replaced by topological thinking. Emphasis must be placed upon methods that describe continuous topological evolution, and not topological invariance. For example, to form a categorical marriage between gravity and quantum mechanics requires the recognition that the topological structure of "particles" is di?erent from the topological structure of "waves".

			[[Category:Scientific Paper\|particles vs waves finite topological thermodynamics]]

	[[Category:Gravity]]		[[Category:Gravity]]

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2016-12-30T16:41:07Z

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New page

{{Infobox paper
| title = Particles vs Waves: Finite Topological Thermodynamics
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6820.pdf Link to paper]
| author = [[Robert M Kiehn]]
| published = 2012
| journal = [[None]]
| num_pages = 22
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_6820.pdf here]

==Abstract==

Traditional physical theories have been constrained historically by assumptions of "geo-metrical" di?eomorphisms, invariant symmetries, and topological invariance. These ideas are useful to the understanding of equilibrium thermodynamic states, and processes that lead to time reversibility of equilibrium topological systems, and the conservation of energy. However, the geometrical constraints o?er no insight into non-equilibrium thermodynamic systems and irreversible processes, such as observed in the biological environment. Geometrical tensor methods are inadequate and must be replaced by topological thinking. Emphasis must be placed upon methods that describe continuous topological evolution, and not topological invariance. For example, to form a categorical marriage between gravity and quantum mechanics requires the recognition that the topological structure of "particles" is di?erent from the topological structure of "waves".[[Category:Scientific Paper]]

[[Category:Gravity]]