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	<title>The Golden Quartic Torus Fibonacci Knot - Revision history</title>
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	<entry>
		<id>http://groupkos.com/dev/index.php?title=The_Golden_Quartic_Torus_Fibonacci_Knot&amp;diff=5186&amp;oldid=prev</id>
		<title>XenoEngineer at 19:14, 23 June 2025</title>
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		<updated>2025-06-23T19:14:44Z</updated>

		<summary type="html">&lt;p&gt;&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;← 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 19:14, 23 June 2025&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;&amp;lt;div style=&amp;quot;margin-left:50px; font:bold 14px &amp;#039;courier new&amp;#039;;&amp;quot;&amp;gt;&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;&amp;lt;div style=&amp;quot;margin-left:50px; font:bold 14px &amp;#039;courier new&amp;#039;;&amp;quot;&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>XenoEngineer</name></author>
	</entry>
	<entry>
		<id>http://groupkos.com/dev/index.php?title=The_Golden_Quartic_Torus_Fibonacci_Knot&amp;diff=5184&amp;oldid=prev</id>
		<title>XenoEngineer: XenoEngineer moved page The Fourth-Auric Fibonacci Torus Knot to The Golden Quartic Torus Fibonacci Knot</title>
		<link rel="alternate" type="text/html" href="http://groupkos.com/dev/index.php?title=The_Golden_Quartic_Torus_Fibonacci_Knot&amp;diff=5184&amp;oldid=prev"/>
		<updated>2025-06-23T19:10:56Z</updated>

		<summary type="html">&lt;p&gt;XenoEngineer moved page &lt;a href=&quot;/dev/index.php/The_Fourth-Auric_Fibonacci_Torus_Knot&quot; class=&quot;mw-redirect&quot; title=&quot;The Fourth-Auric Fibonacci Torus Knot&quot;&gt;The Fourth-Auric Fibonacci Torus Knot&lt;/a&gt; to &lt;a href=&quot;/dev/index.php/The_Golden_Quartic_Torus_Fibonacci_Knot&quot; title=&quot;The Golden Quartic Torus Fibonacci Knot&quot;&gt;The Golden Quartic Torus Fibonacci Knot&lt;/a&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:10, 23 June 2025&lt;/td&gt;
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&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>XenoEngineer</name></author>
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		<title>XenoEngineer at 19:46, 17 April 2025</title>
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		<updated>2025-04-17T19:46:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;http://groupkos.com/dev/index.php?title=The_Golden_Quartic_Torus_Fibonacci_Knot&amp;amp;diff=5046&amp;amp;oldid=5042&quot;&gt;Show changes&lt;/a&gt;</summary>
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		<id>http://groupkos.com/dev/index.php?title=The_Golden_Quartic_Torus_Fibonacci_Knot&amp;diff=5042&amp;oldid=prev</id>
		<title>XenoEngineer: Created page with &quot;{{menuForthAuric}}  &lt;pre style=&quot;margin-left:3em; font:normal 14px terminal;&quot;&gt;&#039;The communication thread appears to describe a theoretical superconducting device involving several complex concepts in materials science and topology. Based on the correspondence between Don Mitchell and a professor (presumably Christopher), the device involves: &#039; &#039;## Metamaterial Superconductor Design &#039; &#039;The core of this concept involves a room-temperature superconducting metamaterial (MM) wi...&quot;</title>
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		<updated>2025-04-17T16:58:53Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{menuForthAuric}}  &amp;lt;pre style=&amp;quot;margin-left:3em; font:normal 14px terminal;&amp;quot;&amp;gt;&amp;#039;The communication thread appears to describe a theoretical superconducting device involving several complex concepts in materials science and topology. Based on the correspondence between Don Mitchell and a professor (presumably Christopher), the device involves: &amp;#039; &amp;#039;## Metamaterial Superconductor Design &amp;#039; &amp;#039;The core of this concept involves a room-temperature superconducting metamaterial (MM) wi...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{menuForthAuric}}&lt;br /&gt;
&lt;br /&gt;
&amp;lt;pre style=&amp;quot;margin-left:3em; font:normal 14px terminal;&amp;quot;&amp;gt;&amp;#039;The communication thread appears to describe a theoretical superconducting device involving several complex concepts in materials science and topology. Based on the correspondence between Don Mitchell and a professor (presumably Christopher), the device involves:&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;## Metamaterial Superconductor Design&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;The core of this concept involves a room-temperature superconducting metamaterial (MM) with several distinctive features:&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;- A toroidal core structure with internal windings that may serve multiple purposes including signal injection, DC flux generation, energy extraction, or resonant tank functionality[1]&lt;br /&gt;
&amp;#039;- A metamaterial composition that potentially enables superconductivity at room temperature, which would be revolutionary as current accepted superconductors require extreme conditions[3]&lt;br /&gt;
&amp;#039;- The MM appears to be suspended within a poured resin, though there was an assumption it might have been press-forged[1]&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;## Torus Knot Configuration&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;A key aspect of the design involves mapping a 13:8 torus knot winding onto the surface of the superconducting donut. This specific configuration means:&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;- The winding would follow a (13,8)-torus knot pattern, winding 13 times around the axis of rotational symmetry and 8 times around a circle in the interior of the torus[13]&lt;br /&gt;
&amp;#039;- This knot pattern can be mathematically represented using parametric equations that define its path on the torus surface[13][8]&lt;br /&gt;
&amp;#039;- The helical pitch of the knot winding would correspond to the 13:8 winding ratio[1]&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;## Theoretical Basis&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;The theoretical foundation for this device appears to draw from several advanced concepts:&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;- Metamaterial approaches to superconductivity, which have been proposed as a route to achieving room-temperature superconductivity[2]&lt;br /&gt;
&amp;#039;- The use of toroidal geometry to create an efficient magnetic circuit with minimal losses[4][6]&lt;br /&gt;
&amp;#039;- Possible quantum effects involving &amp;quot;nucleo-gyro-magnetics&amp;quot; where quantum fields might precess under the core toroid&amp;#039;s static flux field[1]&lt;br /&gt;
&amp;#039;- The concept may relate to &amp;quot;Hopfions&amp;quot; - topological solitons that can be represented as torus knots[9]&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;This design, if viable, would represent a significant breakthrough in superconductivity research, as room-temperature superconductors remain one of the most sought-after goals in materials science[11][14]. Current superconductors require either extremely low temperatures or enormous pressures to function[3][10].&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;The correspondence suggests this is a theoretical or experimental project still in development, with many questions about its specific mechanisms and functionality still being explored.&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;Citations:&lt;br /&gt;
&amp;#039;[1] https://ppl-ai-file-upload.s3.amazonaws.com/web/direct-files/242142/f7c8ff22-ae3f-4d3a-9cb5-807c21be0679/paste.txt&lt;br /&gt;
&amp;#039;[2] https://physicsworld.com/a/metamaterials-offer-route-to-room-temperature-superconductivity/&lt;br /&gt;
&amp;#039;[3] https://en.wikipedia.org/wiki/Room-temperature_superconductor&lt;br /&gt;
&amp;#039;[4] https://www.magneticmetals.com/products-materials/tape-wound-toroidal-cores/&lt;br /&gt;
&amp;#039;[5] https://prensipjournals.com/ojs/index.php/jaasci/article/view/40&lt;br /&gt;
&amp;#039;[6] https://bridgeportmagnetics.com/the-benefits-of-toroid-winding-enhancing-electrical-performance/&lt;br /&gt;
&amp;#039;[7] https://arxiv.org/html/2503.01104v1&lt;br /&gt;
&amp;#039;[8] https://mathvis.academic.wlu.edu/tag/torus-knot/&lt;br /&gt;
&amp;#039;[9] https://repo.scoap3.org/api/files/a8d4e433-34cb-4594-af1e-cb6f370aff36/10.1016/j.physletb.2013.12.002.pdf&lt;br /&gt;
&amp;#039;[10] https://earth.org/breakthrough-or-mirage-unveiling-a-potential-room-temperature-superconductor-with-far-reaching-implications/&lt;br /&gt;
&amp;#039;[11] https://phys.org/news/2025-03-room-temperature-superconductors-fundamental-constants.html&lt;br /&gt;
&amp;#039;[12] https://electricalblogging.com/what-is-a-toroidal-transformer/&lt;br /&gt;
&amp;#039;[13] https://en.wikipedia.org/wiki/Torus_knot&lt;br /&gt;
&amp;#039;[14] https://cacm.acm.org/news/room-temperature-superconductivity-heats-up/&lt;br /&gt;
&amp;#039;[15] https://www.cosmoferrites.com/news-events/purpose-of-toroidal-core-in-transformers&lt;br /&gt;
&amp;#039;[16] https://www.customcoils.com/blog/what-types-of-cores-used-in-the-toroidal-transformers/&lt;br /&gt;
&amp;#039;[17] https://www.sciencedirect.com/science/article/abs/pii/S0370157318301455&lt;br /&gt;
&amp;#039;[18] https://www.science.org/content/article/something-seriously-wrong-room-temperature-superconductivity-study-retracted&lt;br /&gt;
&amp;#039;[19] https://www6.slac.stanford.edu/news/2022-02-09-study-raises-new-possibilities-triggering-room-temperature-superconductivity-light&lt;br /&gt;
&amp;#039;[20] https://www.yalescientific.org/2024/02/room-temperature-superconductors-not-so-fast/&lt;br /&gt;
&amp;#039;[21] https://www.qmul.ac.uk/media/news/2025/science-and-engineering/se/the-quest-for-room-temperature-superconductors.html&lt;br /&gt;
&amp;#039;[22] https://www.fastcompany.com/90872543/why-room-temperature-superconductors-could-revolutionize-electronics&lt;br /&gt;
&amp;#039;[23] https://www.reddit.com/r/scifiwriting/comments/15aoec4/what_are_the_applications_of_a_room_temperature/&lt;br /&gt;
&amp;#039;[24] https://scitechdaily.com/superconductors-at-room-temperature-uics-groundbreaking-materials-could-make-it-possible/&lt;br /&gt;
&amp;#039;[25] https://www.science.org/content/blog-post/room-temperature-superconductor-new-developments&lt;br /&gt;
&amp;#039;[26] https://www.sciencedirect.com/science/article/abs/pii/S0920379607002645&lt;br /&gt;
&amp;#039;[27] https://www.osti.gov/servlets/purl/1226050&lt;br /&gt;
&amp;#039;[28] https://pubs.aip.org/aip/jap/article/106/10/103929/343290/Permeability-and-resonance-characteristics-of&lt;br /&gt;
&amp;#039;[29] https://www.sciencedirect.com/science/article/pii/S0920379615301526&lt;br /&gt;
&amp;#039;[30] https://www.sciencedirect.com/science/article/abs/pii/S0920379601004677&lt;br /&gt;
&amp;#039;[31] https://digital.library.unt.edu/ark:/67531/metadc1208583/&lt;br /&gt;
&amp;#039;[32] https://www.vdm-metals.com/en/tape-wound-toroidal-cores&lt;br /&gt;
&amp;#039;[33] https://www.mdpi.com/2312-7481/9/10/216&lt;br /&gt;
&amp;#039;[34] https://inis.iaea.org/records/se868-hgz85&lt;br /&gt;
&amp;#039;[35] https://www.globalspec.com/learnmore/electrical_electronic_components/transformers/toroidal_transformers&lt;br /&gt;
&amp;#039;[36] https://www.custom-magnetics.com/products/toroidal-cut-core.html&lt;br /&gt;
&amp;#039;[37] https://johnsoncoil.com/frequently-asked-questions/what-are-the-advantages-of-using-a-toroidal-transformer/&lt;br /&gt;
&amp;#039;[38] https://math.mit.edu/research/highschool/primes/materials/2024/Jiang.pdf&lt;br /&gt;
&amp;#039;[39] https://www.sciencedirect.com/science/article/pii/S0370269313009775&lt;br /&gt;
&amp;#039;[40] https://www.youtube.com/watch?v=C53ChOx8DUA&lt;br /&gt;
&amp;#039;[41] https://arxiv.org/pdf/1908.06423.pdf&lt;br /&gt;
&amp;#039;[42] https://arxiv.org/pdf/2107.08049.pdf&lt;br /&gt;
&amp;#039;[43] https://link.aps.org/doi/10.1103/PhysRevD.108.116004&lt;br /&gt;
&amp;#039;[44] https://www.sciencedirect.com/science/article/abs/pii/S0003491615001372&lt;br /&gt;
&amp;#039;[45] https://par.nsf.gov/servlets/purl/10274139&lt;br /&gt;
&amp;#039;[46] https://rwoodley.org/?p=1134&lt;br /&gt;
&amp;#039;[47] https://inspirehep.net/literature/2685825&lt;br /&gt;
&amp;#039;[48] https://www.sciencedirect.com/science/article/abs/pii/S0370157316303908&lt;br /&gt;
&amp;#039;[49] http://pustaka.teknokrat.ac.id/repository/8ef6e864500b99b9e3a4be4dd3fe4511.pdf&lt;br /&gt;
&amp;#039;[50] https://thequantuminsider.com/2024/01/04/its-back-researchers-say-theyve-replicated-lk-99-room-temperature-superconductor-experiment/&lt;br /&gt;
&amp;#039;[51] https://www.scientificamerican.com/article/nature-retracts-controversial-room-temperature-superconductor-study/&lt;br /&gt;
&amp;#039;[52] https://phys.org/news/2024-12-room-temperature-superconductivity-uncover-optical.html&lt;br /&gt;
&amp;#039;[53] https://www.comsol.it/paper/download/565542/cocilovo_paper.pdf&lt;br /&gt;
&amp;#039;[54] https://dspace.mit.edu/bitstream/handle/1721.1/103659/953412569-MIT.pdf&lt;br /&gt;
&amp;#039;[55] https://www.youtube.com/watch?v=ujo0HYcvLoI&lt;br /&gt;
&amp;#039;[56] https://www.nature.com/articles/s41598-019-53548-w&lt;br /&gt;
&amp;#039;[57] https://www.nature.com/articles/s42005-023-01499-0&lt;br /&gt;
&amp;#039;[58] https://medcraveonline.com/IRATJ/torus-knot-designs-using-a-rubikrsquos-snake.html&lt;br /&gt;
&amp;#039;&lt;br /&gt;
&amp;#039;---&lt;br /&gt;
&amp;#039;Answer from Perplexity: pplx.ai/share&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/pre&amp;gt;&lt;/div&gt;</summary>
		<author><name>XenoEngineer</name></author>
	</entry>
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