Energy-Time Uncertainty - Revision history

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infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)

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	\| published = 2010		\| published = 2010
	\| journal = [[Proceedings of the NPA]]		\| journal = [[Proceedings of the NPA]]
	\| volume = [[7]]		\| volume = 7
	\| num_pages = 5		\| num_pages = 5
	\| pages = 351-353		\| pages = 351-353

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	\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf Link to paper]		\| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf Link to paper]
	\| author = [[Richard Oldani]]		\| author = [[Richard Oldani]]
			\| keywords = uncertainty, energy, time, quantum, action
	\| published = 2010		\| published = 2010
	\| journal = [[Proceedings of the NPA]]		\| journal = [[Proceedings of the NPA]]

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	==Abstract==		==Abstract==

	Spontaneous emission is viewed as the continuous absorption of energy by an atomic oscillator followed by quantization during decay. Energy-time uncertainty can then be defined in a manifestly covariant way by establishing space-time boundaries on the action integral of the decay process; where the minimum of action is not zero, but h. First order equations are derived describing the emission of a photon. Second order emission is shown to yield the Feigenbaum equation. The similarities between them are noted. It is concluded that discrete forms of time, or oscillation periods, function as operators in Lagrangian quantum mechanics because they take as their inputs a delocalized superposition state and return as their outputs a localized quantum state. It is hypothesized that period doubling must be accompanied by asymmetric geometries.[[Category:Scientific Paper]]		Spontaneous emission is viewed as the continuous absorption of energy by an atomic oscillator followed by quantization during decay. Energy-time uncertainty can then be defined in a manifestly covariant way by establishing space-time boundaries on the action integral of the decay process; where the minimum of action is not zero, but h. First order equations are derived describing the emission of a photon. Second order emission is shown to yield the Feigenbaum equation. The similarities between them are noted. It is concluded that discrete forms of time, or oscillation periods, function as operators in Lagrangian quantum mechanics because they take as their inputs a delocalized superposition state and return as their outputs a localized quantum state. It is hypothesized that period doubling must be accompanied by asymmetric geometries.

			[[Category:Scientific Paper\|energy-time uncertainty]]

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{{Infobox paper
| title = Energy-Time Uncertainty
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf Link to paper]
| author = [[Richard Oldani]]
| published = 2010
| journal = [[Proceedings of the NPA]]
| volume = [[7]]
| num_pages = 5
| pages = 351-353
}}

'''Read the full paper''' [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf here]

==Abstract==

Spontaneous emission is viewed as the continuous absorption of energy by an atomic oscillator followed by quantization during decay. Energy-time uncertainty can then be defined in a manifestly covariant way by establishing space-time boundaries on the action integral of the decay process; where the minimum of action is not zero, but h. First order equations are derived describing the emission of a photon. Second order emission is shown to yield the Feigenbaum equation. The similarities between them are noted. It is concluded that discrete forms of time, or oscillation periods, function as operators in Lagrangian quantum mechanics because they take as their inputs a delocalized superposition state and return as their outputs a localized quantum state. It is hypothesized that period doubling must be accompanied by asymmetric geometries.[[Category:Scientific Paper]]