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	<id>http://naturalphilosophy.org/wiki/index.php?action=history&amp;feed=atom&amp;title=Energy-Time_Uncertainty</id>
	<title>Energy-Time Uncertainty - Revision history</title>
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	<updated>2026-04-09T23:12:29Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Energy-Time_Uncertainty&amp;diff=18023&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="http://naturalphilosophy.org/wiki/index.php?title=Energy-Time_Uncertainty&amp;diff=18023&amp;oldid=prev"/>
		<updated>2017-01-01T17:22:03Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:22, 1 January 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;==Abstract==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;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]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;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.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scientific Paper&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|energy-time uncertainty&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>http://naturalphilosophy.org/wiki/index.php?title=Energy-Time_Uncertainty&amp;diff=1044&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="http://naturalphilosophy.org/wiki/index.php?title=Energy-Time_Uncertainty&amp;diff=1044&amp;oldid=prev"/>
		<updated>2016-12-30T01:26:19Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Infobox paper&lt;br /&gt;
| title = Energy-Time Uncertainty&lt;br /&gt;
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf Link to paper]&lt;br /&gt;
| author = [[Richard Oldani]]&lt;br /&gt;
| published = 2010&lt;br /&gt;
| journal = [[Proceedings of the NPA]]&lt;br /&gt;
| volume = [[7]]&lt;br /&gt;
| num_pages = 5&lt;br /&gt;
| pages = 351-353&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Read the full paper&amp;#039;&amp;#039;&amp;#039; [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5413.pdf here]&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
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]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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