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		<updated>2026-04-15T04:08:48Z</updated>
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	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=3043:_Muons&amp;diff=363702</id>
		<title>3043: Muons</title>
		<link rel="alternate" type="text/html" href="https://www.explainxkcd.com/wiki/index.php?title=3043:_Muons&amp;diff=363702"/>
				<updated>2025-01-28T04:35:42Z</updated>
		
		<summary type="html">&lt;p&gt;172.70.114.46: /* Explanation */&lt;/p&gt;
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&lt;div&gt;{{comic&lt;br /&gt;
| number    = 3043&lt;br /&gt;
| date      = January 27, 2025&lt;br /&gt;
| title     = Muons&lt;br /&gt;
| image     = muons_2x.png&lt;br /&gt;
| imagesize = 284x388px&lt;br /&gt;
| noexpand  = true&lt;br /&gt;
| titletext = Update: I've been banned from the physics department for the way I pronounce &amp;quot;Doppler effect.&amp;quot;&lt;br /&gt;
}}&lt;br /&gt;
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==Explanation==&lt;br /&gt;
{{incomplete|Created by a BOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOT moving at 99.97% of the speed of light resulting in 45x battery life. Do NOT delete this tag too soon.}}&lt;br /&gt;
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{{w|Muon|Muons}} are particles released in {{w|air shower (physics)|air showers}} from high-energy {{w|cosmic ray}} protons causing nuclear decay in our upper atmosphere. These protons come from all over the universe from various interstellar events and have energies in excess of anything our species has created. Some of the muons created in these collisions are deflected away from us and decay quickly in the upper atmosphere. Other muons retain the high energy of the colliding protons effectively and travel so fast that they emit {{w|Cherenkov radiation}} from outpacing photons in air, which is used to visualize air showers with telescopes. Muons usually decay very quickly, but in part because of time dilation these high-energy muons are able to penetrate deep into the earth densely and are also used as a natural radiation source more powerful than x-rays for internal imaging especially of large opaque structures.&lt;br /&gt;
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{{w|Time dilation}} is the concept from {{w|special relativity}} where faster moving objects travel through time faster than proportional, resulting in an appearance of it slowing down for them to an observer, as well as an ability to cross greater distances. Because the ‘regular speed’ {{w|Muon|muons}} are moving at a relatively normal speed, Cueball pronounces it properly, but because time slows down for the faster moving muons, Cueball adjusts this, and pronounces it much slower, as if he is being slowed down from talking about them.&lt;br /&gt;
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Cueball is implying that when he says &amp;quot;muons&amp;quot;, he is speaking in the same reference frame as them, with time traveling at the same speed for the listener and for the muon. In the same reference frame, muons decay very quickly. He implies that when he says &amp;quot;muuuoooons&amp;quot; very slowly, that he is now speaking in a reference frame where the muons have time dilated relative to the observer and appear to be aging very very slowly. If a relativistic muon were saying its own name, or if Cueball were in the same reference frame as the muon and the observer were not, (and there were a way to transmit sound at relativistic speeds), then the muon might sound like this, stretched out. This is the kind of reference frame in which muons are detected at the surface. We observe them, and we observe that time is passing slower for them than it is for us.&lt;br /&gt;
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On average, a stationary muon decays after a bit over two microseconds. While moving at 99.97% of the speed of light, their lifespan (from our perspective) stretches to nearly ninety microseconds. If Cueball speaks at four syllables per second (a typical {{w|Speech tempo|speech tempo}} for English), it will take him about half of a second to name the &amp;quot;muons&amp;quot; created in the upper atmosphere; it will take him more than twenty seconds to name the fast-moving &amp;quot;muuuuuoooons.&amp;quot; &lt;br /&gt;
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The title text references the {{w|Doppler effect}}, the change in frequency of a wave when the observer is moving relative to the source. One common example of this is how the sound of a fast car or airplane starts as a high pitched 'squeal' but then gradually drops to a low droning noise as it passes the observer. By analogy with the time dilation example, Cueball likely imitates this change in pitch whenever pronouncing the phrase &amp;quot;Doppler effect&amp;quot;; as he has been banned for this we must assume that the first syllable or two were pronounced at an obnoxiously high volume and pitch.&lt;br /&gt;
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==Transcript==&lt;br /&gt;
{{incomplete transcript|Do NOT delete this tag too soon.}}&lt;br /&gt;
:[Cueball is standing in front of a whiteboard, which contains a diagram depicting a muon passing through the atmosphere, a distance labeled with a cursive letter, the equation for the Lorentz factor, and some illegible text. He's facing away from the whiteboard and holding a pointer that points towards the diagram.]&lt;br /&gt;
:Cueball: ''Muons'' created in the upper atmosphere decay immediately, but fast moving ''muuuuuoooons'' are able to reach the surface due to their longer half-lives.&lt;br /&gt;
&lt;br /&gt;
:[Caption below the panel:]&lt;br /&gt;
:Physics tip: Remember to adjust your pronunciations to account for time dilation.&lt;br /&gt;
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{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Comics featuring Cueball]]&lt;br /&gt;
[[Category:Physics]]&lt;br /&gt;
[[Category:Tips]]&lt;/div&gt;</summary>
		<author><name>172.70.114.46</name></author>	</entry>

	<entry>
		<id>https://www.explainxkcd.com/wiki/index.php?title=Talk:3020:_Infinite_Armada_Chess&amp;diff=358678</id>
		<title>Talk:3020: Infinite Armada Chess</title>
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				<updated>2024-12-05T14:46:59Z</updated>
		
		<summary type="html">&lt;p&gt;172.70.114.46: &lt;/p&gt;
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&lt;div&gt;&amp;lt;!--Please sign your posts with ~~~~ and don't delete this text. New comments should be added at the bottom.--&amp;gt;&lt;br /&gt;
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Did I do well? Added a very very basic explanation. [[Special:Contributions/172.68.147.132|172.68.147.132]] 04:25, 5 December 2024 (UTC)&lt;br /&gt;
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Well, yes but I wonder if just one tiny fix is needed. If you replace the white side with a simplyfied artillery tower, you reinvented space invaders.{{unsigned ip|172.71.160.70|04:57, 5 December 2024 (UTC)}}&lt;br /&gt;
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I was personally hoping for an explanation of the Infinite Armada thing, and I feel like a link to the TV Tropes page doesn't really. Explain that at all. So I would love a bit of an expansion on that part! Just want to be sure I didn't miss some reference or something. [[Special:Contributions/172.68.23.91|172.68.23.91]] 05:48, 5 December 2024 (UTC)&lt;br /&gt;
: Likewise. I get the comic, but I assumed the 'armada' part was a reference that I just did not get. But it seems it is just a word choice. [[Special:Contributions/172.71.102.105|172.71.102.105]] 09:39, 5 December 2024 (UTC)&lt;br /&gt;
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I think that since the error was &amp;quot;out of bounds&amp;quot;, not &amp;quot;out of memory&amp;quot;, it's referring to indexing outside of the region of memory that the program allocated to deal with the board. This would happen since instead of addressing rank 1..8, you could address rank 9, 10, 0, or -1. Unless bounds checking is performed when converting the board coordinates into linear array indices, you'd get an out-of-bounds error (or worse, succeed in reading or modifying memory that you weren't intending to). --[[Special:Contributions/172.71.30.253|172.71.30.253]] 05:45, 5 December 2024 (UTC)&lt;br /&gt;
:It was &amp;quot;Out of Bounds memory access&amp;quot;. That means it was trying to access a memory address that was out of the bounds of the computer, as if it were trying to access the  ω-th index of the board array, which would put it out of the memory range of any computer [[User:Firestar233|guess who]] ([[User talk:Firestar233|if you want to]] | [[Special:Contributions/Firestar233|what i have done]]) 06:15, 5 December 2024 (UTC)&lt;br /&gt;
:: There is no hint that the bounds are those of the computer, the simplest explanation really is that the bounds are those of an array. The error message does come up. In addition, to try to access the memory at the ω-th index, you would need to construct the ω-th index itself first (which would fail or not terminate) [[User:Jmm|Jmm]] ([[User talk:Jmm|talk]]) 07:01, 5 December 2024 (UTC)&lt;br /&gt;
::: The specific message, &amp;quot;RuntimeError: Out of bounds memory access&amp;quot;, is a WebGL error issuing from its WASM cross-platform browser implementation. This implies to me that an attempt to render an infinite chessboard failed in a fairly trivial way, because of a poor implementation. It's very unlikely that there had been a problem with the [https://github.com/official-stockfish/Stockfish/tree/master/src Stockfish playing algorithm] yet, which would have failed with a different message if it ran out of memory, such as &amp;quot;Killed&amp;quot;, which is all that shells like Bash print when one of their job processes is killed by the kernel's OOM killer, or by anything else for that matter. [[Special:Contributions/172.70.215.21|172.70.215.21]] 12:58, 5 December 2024 (UTC)&lt;br /&gt;
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Is this a reference to [https://youtu.be/rav29N0-h2c infinite chess by Naviary?] [[User:HaruruChanDesu|HaruruChanDesu]] ([[User talk:HaruruChanDesu|talk]]) 11:21, 5 December 2024 (UTC)&lt;br /&gt;
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&amp;quot;it does not really need to consider the infinitely many pieces&amp;quot; =&amp;gt; a chess Engine would need to consider the infinitely many pieces (or have a way to abstract them), even if some pieces are currently stuck because the engine recursively evaluates moves and counter-moves (i.e. evaluates the game up to some depth).&lt;br /&gt;
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== Hit me up when this becomes real. ==&lt;br /&gt;
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I would like to try this out. [[User:CalibansCreations|'''&amp;lt;span style=&amp;quot;color:#ff0000;&amp;quot;&amp;gt;Caliban&amp;lt;/span&amp;gt;''']] ([[User talk:CalibansCreations|talk]]) 12:29, 5 December 2024 (UTC)&lt;br /&gt;
:It should be easy enough. You will rarely get the queens out in play from deep in the array. So maybe just put two chess boars together and put some placeholder in for queens in the extra fields. If ever a queen in the bottom row is moved, place extra queens that can now be moved into the 2-3 squares that would be outside the board...--[[User:Kynde|Kynde]] ([[User talk:Kynde|talk]]) 12:39, 5 December 2024 (UTC)&lt;br /&gt;
:It might be something one could set up in Infinite Chess, although having limits on the chessboard may be difficult. [[Special:Contributions/172.68.150.67|172.68.150.67]] 14:01, 5 December 2024 (UTC)&lt;br /&gt;
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While I understand how to play chess, I don't get the bit about &amp;quot;having a bunch of queens doesn't go very well&amp;quot;. At first glance, the linked chess layout looks pretty solid. Can someone please enlighten me? Also, what does the TV Tropes link about Title Drop have to do with Infinite Armada, aside from that being the title of the comic? [[Special:Contributions/172.70.230.77|172.70.230.77]] 13:10, 5 December 2024 (UTC)&lt;br /&gt;
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:: ... Nd6. [[Special:Contributions/172.70.91.246|172.70.91.246]] 13:31, 5 December 2024 (UTC)&lt;br /&gt;
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Could this be a reference to the meme about &amp;quot;eating an infinite armada of pizza&amp;quot;? The wording seems too similar to be a coincidence. [[Special:Contributions/172.70.114.46|172.70.114.46]] 14:46, 5 December 2024 (UTC)&lt;/div&gt;</summary>
		<author><name>172.70.114.46</name></author>	</entry>

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