https://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&feed=atom&action=historyTalk:Yang-Mills equations - Revision history2024-03-29T13:26:04ZRevision history for this page on the wikiMediaWiki 1.39.3https://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=7063&oldid=prevMarco Frasca at 11:45, 28 November 20092009-11-28T11:45:19Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><div>:Just to clarify: the new mapping theorem in the Phys. Lett. A. paper is not the same as the theorem claimed in the earlier reference, as the new theorem is only asymptotic (up to first order expansion only) rather than exact (and indeed, the later paper acknowledges that the exact mapping theorem was, in fact, false). As long as this distinction is made clear, I consider the matter settled. [[User:Tao|Terry]] 23:01, 27 November 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>:Just to clarify: the new mapping theorem in the Phys. Lett. A. paper is not the same as the theorem claimed in the earlier reference, as the new theorem is only asymptotic (up to first order expansion only) rather than exact (and indeed, the later paper acknowledges that the exact mapping theorem was, in fact, false). As long as this distinction is made clear, I consider the matter settled. [[User:Tao|Terry]] 23:01, 27 November 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">::Terry, I agree. Sorry if I was not so clear in my intervention. Thank you again.--[[User:Jonlester|Jonlester]] 11:45, 28 November 2009 (UTC)</ins></div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=7062&oldid=prevTao at 23:01, 27 November 20092009-11-27T23:01:44Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><div>The question is definitely settled. You can see this by clicking on the link to my paper in Terry's comment. This link points to a void page as Terry removed the reference agreeing on the fact that, after my publication in [http://arxiv.org/abs/0903.2357 Modern Physics Letters A], mapping theorem, with the proof given in this last paper, is correct. Terry communicated this to me by email. On the other side, I guess that Terry would not agree to push further this matter and I will not put back removed material in this site (or elsewhere other than [http://marcofrasca.wordpress.com my blog] or peer-reviewed journals) until him or Jim Colliander will ask for this. I take this chance to thank him for providing me the chance to improve my work.--[[User:Jonlester|Jonlester]] 09:42, 15 November 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>The question is definitely settled. You can see this by clicking on the link to my paper in Terry's comment. This link points to a void page as Terry removed the reference agreeing on the fact that, after my publication in [http://arxiv.org/abs/0903.2357 Modern Physics Letters A], mapping theorem, with the proof given in this last paper, is correct. Terry communicated this to me by email. On the other side, I guess that Terry would not agree to push further this matter and I will not put back removed material in this site (or elsewhere other than [http://marcofrasca.wordpress.com my blog] or peer-reviewed journals) until him or Jim Colliander will ask for this. I take this chance to thank him for providing me the chance to improve my work.--[[User:Jonlester|Jonlester]] 09:42, 15 November 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">:Just to clarify: the new mapping theorem in the Phys. Lett. A. paper is not the same as the theorem claimed in the earlier reference, as the new theorem is only asymptotic (up to first order expansion only) rather than exact (and indeed, the later paper acknowledges that the exact mapping theorem was, in fact, false). As long as this distinction is made clear, I consider the matter settled. [[User:Tao|Terry]] 23:01, 27 November 2009 (UTC)</ins></div></td></tr>
</table>Taohttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=7059&oldid=prevMarco Frasca at 09:42, 15 November 20092009-11-15T09:42:47Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><div>Please, check my blog [http://marcofrasca.wordpress.com/2009/03/11/i-did-it-for-you/ here]. Terry's criticism does not apply to my case. These solutions exist and the text should be re-entered into this entry of DW. Thank you.--[[User:Jonlester|Jonlester]] 11:37, 11 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>Please, check my blog [http://marcofrasca.wordpress.com/2009/03/11/i-did-it-for-you/ here]. Terry's criticism does not apply to my case. These solutions exist and the text should be re-entered into this entry of DW. Thank you.--[[User:Jonlester|Jonlester]] 11:37, 11 March 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">The question is definitely settled. You can see this by clicking on the link to my paper in Terry's comment. This link points to a void page as Terry removed the reference agreeing on the fact that, after my publication in [http://arxiv.org/abs/0903.2357 Modern Physics Letters A], mapping theorem, with the proof given in this last paper, is correct. Terry communicated this to me by email. On the other side, I guess that Terry would not agree to push further this matter and I will not put back removed material in this site (or elsewhere other than [http://marcofrasca.wordpress.com my blog] or peer-reviewed journals) until him or Jim Colliander will ask for this. I take this chance to thank him for providing me the chance to improve my work.--[[User:Jonlester|Jonlester]] 09:42, 15 November 2009 (UTC)</ins></div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5695&oldid=prevMarco Frasca at 11:38, 11 March 20092009-03-11T11:38:14Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]). The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]). The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>Please, check my blog [<del style="font-weight: bold; text-decoration: none;">here </del>http://marcofrasca.wordpress.com/2009/03/11/i-did-it-for-you/]. Terry's criticism does not apply to my case. These solutions exist and the text should be re-entered into this entry of DW. Thank you.--[[User:Jonlester|Jonlester]] 11:37, 11 March 2009 (UTC)</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>Please, check my blog [http://marcofrasca.wordpress.com/2009/03/11/i-did-it-for-you/ <ins style="font-weight: bold; text-decoration: none;">here</ins>]. Terry's criticism does not apply to my case. These solutions exist and the text should be re-entered into this entry of DW. Thank you.--[[User:Jonlester|Jonlester]] 11:37, 11 March 2009 (UTC)</div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5694&oldid=prevMarco Frasca at 11:37, 11 March 20092009-03-11T11:37:52Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]). The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]). The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Please, check my blog [here http://marcofrasca.wordpress.com/2009/03/11/i-did-it-for-you/]. Terry's criticism does not apply to my case. These solutions exist and the text should be re-entered into this entry of DW. Thank you.--[[User:Jonlester|Jonlester]] 11:37, 11 March 2009 (UTC)</ins></div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5693&oldid=prevMarco Frasca at 09:49, 11 March 20092009-03-11T09:49:02Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><div>:It may be possible to have some common solutions to both theories but the point is that the proof in [[FraE2007]] is seriously incomplete. [[User:Tumur|Tumur]] 21:07, 10 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>:It may be possible to have some common solutions to both theories but the point is that the proof in [[FraE2007]] is seriously incomplete. [[User:Tumur|Tumur]] 21:07, 10 March 2009 (UTC)</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker" data-marker="−"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]. The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div>Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]<ins style="font-weight: bold; text-decoration: none;">)</ins>. The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5692&oldid=prevMarco Frasca at 09:47, 11 March 20092009-03-11T09:47:35Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>:It may be possible to have some common solutions to both theories but the point is that the proof in [[FraE2007]] is seriously incomplete. [[User:Tumur|Tumur]] 21:07, 10 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>:It may be possible to have some common solutions to both theories but the point is that the proof in [[FraE2007]] is seriously incomplete. [[User:Tumur|Tumur]] 21:07, 10 March 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">Tumur, it is the same old problem. I am a physicist (even if I have written math papers also, e.g. [http://arxiv.org/abs/0901.4703]. The question is quite simple. Why to rely on a generic mathematical evidence that may fail here when by a simple substitution of my solution into Y-M eqs. I am easily proved right?--[[User:Jonlester|Jonlester]] 09:47, 11 March 2009 (UTC)</ins></div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5665&oldid=prevTumur at 21:07, 10 March 20092009-03-10T21:07:13Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:07, 10 March 2009</td>
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<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>It is my personal conviction that you misunderstood the content of the theorem. It is just claimed that exists a class of solutions common to both functionals. A solution of the equations is always an extremum but, of course, this cannot be overall true. In order to prove that this is wrong you should prove that classical solutions are not common to the scalar field and Yang-Mills field as you claimed in your comment on Wikipedia. --[[User:Jonlester|Jonlester]] 19:32, 10 March 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>It is my personal conviction that you misunderstood the content of the theorem. It is just claimed that exists a class of solutions common to both functionals. A solution of the equations is always an extremum but, of course, this cannot be overall true. In order to prove that this is wrong you should prove that classical solutions are not common to the scalar field and Yang-Mills field as you claimed in your comment on Wikipedia. --[[User:Jonlester|Jonlester]] 19:32, 10 March 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">:It may be possible to have some common solutions to both theories but the point is that the proof in [[FraE2007]] is seriously incomplete. [[User:Tumur|Tumur]] 21:07, 10 March 2009 (UTC)</ins></div></td></tr>
</table>Tumurhttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5664&oldid=prevMarco Frasca at 19:32, 10 March 20092009-03-10T19:32:20Z<p></p>
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<tr><td class="diff-marker"></td><td style="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;"><br/></td><td class="diff-marker"></td><td style="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;"><br/></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>I've removed the arguments based in [[FraE2007]] as they appear to be incorrect. (The "mapping theorem" in Theorem 1 of that paper does not appear to have a valid proof; an extremum for the Yang-Mills functional for a restricted class of fields is not necessarily an extremum for the Yang-Mills functional for the entire class of fields.) Similar adjustments will be made elsewhere in the Wiki. [[User:Tao|Terry]] 20:12, 28 February 2009 (UTC)</div></td><td class="diff-marker"></td><td style="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;"><div>I've removed the arguments based in [[FraE2007]] as they appear to be incorrect. (The "mapping theorem" in Theorem 1 of that paper does not appear to have a valid proof; an extremum for the Yang-Mills functional for a restricted class of fields is not necessarily an extremum for the Yang-Mills functional for the entire class of fields.) Similar adjustments will be made elsewhere in the Wiki. [[User:Tao|Terry]] 20:12, 28 February 2009 (UTC)</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">It is my personal conviction that you misunderstood the content of the theorem. It is just claimed that exists a class of solutions common to both functionals. A solution of the equations is always an extremum but, of course, this cannot be overall true. In order to prove that this is wrong you should prove that classical solutions are not common to the scalar field and Yang-Mills field as you claimed in your comment on Wikipedia. --[[User:Jonlester|Jonlester]] 19:32, 10 March 2009 (UTC)</ins></div></td></tr>
</table>Marco Frascahttps://dispersivewiki.org/DispersiveWiki/index.php?title=Talk:Yang-Mills_equations&diff=5659&oldid=prevTao at 20:12, 28 February 20092009-02-28T20:12:11Z<p></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 20:12, 28 February 2009</td>
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<tr><td class="diff-marker"></td><td style="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;"><div>This page was derived from an earlier version which had corrections and suggestions from Jacob Sterbenz.</div></td><td class="diff-marker"></td><td style="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;"><div>This page was derived from an earlier version which had corrections and suggestions from Jacob Sterbenz.</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">I've removed the arguments based in [[FraE2007]] as they appear to be incorrect. (The "mapping theorem" in Theorem 1 of that paper does not appear to have a valid proof; an extremum for the Yang-Mills functional for a restricted class of fields is not necessarily an extremum for the Yang-Mills functional for the entire class of fields.) Similar adjustments will be made elsewhere in the Wiki. [[User:Tao|Terry]] 20:12, 28 February 2009 (UTC)</ins></div></td></tr>
</table>Tao