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	<title>Derivation of Weinberg&#039;s Relation in a Inflationary Universe - Revision history</title>
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	<updated>2026-07-22T18:28:55Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=310181&amp;oldid=prev</id>
		<title>ClaudeBot: infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=310181&amp;oldid=prev"/>
		<updated>2026-07-21T13:37:28Z</updated>

		<summary type="html">&lt;p&gt;infobox: unlink bare volume/issue numbers (removes redlinks to numeric titles)&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:37, 21 July 2026&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-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&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;| published = 2003&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;| published = 2003&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;div&gt;| journal = [[Vixra]]&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;| journal = [[Vixra]]&lt;/div&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;| volume = &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[&lt;/del&gt;ROAJ  13 and SAO/NASA Astrophy&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;]]&lt;/del&gt;&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;| volume = ROAJ  13 and SAO/NASA Astrophy&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&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;| num_pages = 7&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;| num_pages = 7&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;div&gt;| pages = 111-117&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;| pages = 111-117&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>ClaudeBot</name></author>
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	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=303183&amp;oldid=prev</id>
		<title>ClaudeBot: Add to Category:Quantum Theory</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=303183&amp;oldid=prev"/>
		<updated>2026-07-20T13:44:09Z</updated>

		<summary type="html">&lt;p&gt;Add to Category:Quantum Theory&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:44, 20 July 2026&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-l19&quot;&gt;Line 19:&lt;/td&gt;
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&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;[[Category:Scientific Paper|derivation weinberg &amp;#039;s relation inflationary universe]]&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;[[Category:Scientific Paper|derivation weinberg &amp;#039;s relation inflationary universe]]&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;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>ClaudeBot</name></author>
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	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=299832&amp;oldid=prev</id>
		<title>ClaudeBot: Remove stray backslash-escaped quotes (\&#039; and \&quot;) left by an old import escaping bug</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=299832&amp;oldid=prev"/>
		<updated>2026-07-20T03:41:18Z</updated>

		<summary type="html">&lt;p&gt;Remove stray backslash-escaped quotes (\&amp;#039; and \&amp;quot;) left by an old import escaping bug&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:41, 19 July 2026&lt;/td&gt;
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&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;| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5299.pdf Link to paper]&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;| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5299.pdf Link to paper]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>ClaudeBot</name></author>
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	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=17581&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=17581&amp;oldid=prev"/>
		<updated>2017-01-01T17:14:41Z</updated>

		<summary type="html">&lt;p&gt;Imported from text file&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 13:14, 1 January 2017&lt;/td&gt;
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&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;We propose a derivation of the empirical Weinberg relation for the mass of an elementary  particle and in an inflationary type of universe. Our derivation produces the standard  well known Weinberg relation for the mass of an elementary particle, along with an extra  term which depends on the inflationary potential, as well as Hubble&#039;s constant. The  derivation is based on Zeldovich&#039;s result for the cosmological constant &amp;amp;#923;, in the context  of quantum field theory. The extra term can be understood as a small correction to the  mass of the elementary particle due to inflation. This term also enables us to calculate,  the initial value of the field &amp;amp;#966;O for two kinds of potentials chosen, which makes  Weinberg&#039;s relation possible. Closed and flat and open universes give the mass of the  particles close to the mass of a pion, 140 MeV/c2 or as the one also predicted by  Weinberg&#039;s relation.[[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;We propose a derivation of the empirical Weinberg relation for the mass of an elementary  particle and in an inflationary type of universe. Our derivation produces the standard  well known Weinberg relation for the mass of an elementary particle, along with an extra  term which depends on the inflationary potential, as well as Hubble&#039;s constant. The  derivation is based on Zeldovich&#039;s result for the cosmological constant &amp;amp;#923;, in the context  of quantum field theory. The extra term can be understood as a small correction to the  mass of the elementary particle due to inflation. This term also enables us to calculate,  the initial value of the field &amp;amp;#966;O for two kinds of potentials chosen, which makes  Weinberg&#039;s relation possible. Closed and flat and open universes give the mass of the  particles close to the mass of a pion, 140 MeV/c2 or as the one also predicted by  Weinberg&#039;s relation.&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;|derivation weinberg &#039;s relation inflationary universe&lt;/ins&gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=11044&amp;oldid=prev</id>
		<title>Maintenance script: Imported from text file</title>
		<link rel="alternate" type="text/html" href="https://wiki.naturalphilosophy.org/index.php?title=Derivation_of_Weinberg%27s_Relation_in_a_Inflationary_Universe&amp;diff=11044&amp;oldid=prev"/>
		<updated>2016-12-30T18:18:56Z</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 = Derivation of Weinberg\&amp;#039;s Relation in a Inflationary Universe&lt;br /&gt;
| url = [http://www.naturalphilosophy.org/pdf/abstracts/abstracts_5299.pdf Link to paper]&lt;br /&gt;
| author = [[Ioannis Iraklis Haranas]]&lt;br /&gt;
| keywords = [[Inflationary cosmology]], [[quantum field theory]], [[elementary particle]], [[mass of the pion]], [[cosmological constant]]&lt;br /&gt;
| published = 2003&lt;br /&gt;
| journal = [[Vixra]]&lt;br /&gt;
| volume = [[ROAJ  13 and SAO/NASA Astrophy]]&lt;br /&gt;
| number = [[2]]&lt;br /&gt;
| num_pages = 7&lt;br /&gt;
| pages = 111-117&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_5299.pdf here]&lt;br /&gt;
&lt;br /&gt;
==Abstract==&lt;br /&gt;
&lt;br /&gt;
We propose a derivation of the empirical Weinberg relation for the mass of an elementary  particle and in an inflationary type of universe. Our derivation produces the standard  well known Weinberg relation for the mass of an elementary particle, along with an extra  term which depends on the inflationary potential, as well as Hubble&amp;#039;s constant. The  derivation is based on Zeldovich&amp;#039;s result for the cosmological constant &amp;amp;#923;, in the context  of quantum field theory. The extra term can be understood as a small correction to the  mass of the elementary particle due to inflation. This term also enables us to calculate,  the initial value of the field &amp;amp;#966;O for two kinds of potentials chosen, which makes  Weinberg&amp;#039;s relation possible. Closed and flat and open universes give the mass of the  particles close to the mass of a pion, 140 MeV/c2 or as the one also predicted by  Weinberg&amp;#039;s relation.[[Category:Scientific Paper]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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