238th book of science for AP // Proving the Principle of Maximum Electricity Production is done by Atoms
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Archimedes Plutonium
Mar 18, 2023, 10:02:09 AM
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So many times I have referred to this principle in my work. Yet I never proved it true. I think it is
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Archimedes Plutonium
Mar 18, 2023, 11:21:39 PM
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Alright I need some math data to understand why Maximum Electricity production relates directly to
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Archimedes Plutonium
Mar 18, 2023, 11:42:18 PM
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Now looking at the unique features of the Torus. Source StackExchange: The torus is the only surface
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Archimedes Plutonium
Mar 19, 2023, 2:38:02 PM
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Now the speed of measured Alpha particles from decay is in the range of 5 to 7 percent the speed of
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Archimedes Plutonium
Mar 19, 2023, 11:51:08 PM
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Recently I caught myself writing a trio of books in astronomy, starting with the concept of Stepping
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Archimedes Plutonium
Mar 20, 2023, 2:27:00 AM
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Alright, I think I have the proof that the torus is the geometry figure of Maximum Electricity
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Archimedes Plutonium
Apr 23, 2023, 2:14:10 PM (11 days ago)
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Alright, onto my 238th book of science. I have often mentioned this principle in my physics work.
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Archimedes Plutonium
Apr 23, 2023, 5:06:17 PM (11 days ago)
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I suspect the Maximum Electricity Principle is the reverse of Least Action or Least Energy principle,
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Archimedes Plutonium
Apr 27, 2023, 11:27:21 PM (7 days ago)
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I need a full book on Maximum Electricity Production Principle in order to say the S, P, D, F
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Archimedes Plutonium
Apr 28, 2023, 9:24:25 AM (7 days ago)
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I am going to try for 2 different methods of proof of Maximum Electricity Production. One method is
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Archimedes Plutonium
Apr 28, 2023, 12:06:03 PM (7 days ago)
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On Friday, April 28, 2023 at 9:23:19 AM UTC-5, Archimedes Plutonium wrote: > I am going to try for
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Archimedes Plutonium
Apr 28, 2023, 9:32:30 PM (6 days ago)
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Alright, I am not going to have any problems with figuring out the geometry inside of Atoms, for I
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Archimedes Plutonium
Apr 28, 2023, 11:20:05 PM (6 days ago)
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On Friday, April 28, 2023 at 9:30:14 PM UTC-5, Archimedes Plutonium wrote: > Alright, I am not
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Archimedes Plutonium
Apr 29, 2023, 5:57:07 AM (6 days ago)
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On Friday, April 28, 2023 at 11:19:34 PM UTC-5, Archimedes Plutonium wrote: > On Friday, April 28,
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Archimedes Plutonium
Apr 29, 2023, 4:09:32 PM (5 days ago)
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Now this total overhaul of the geometry of the interior of all Atoms is going to make me say that the
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Archimedes Plutonium
Apr 29, 2023, 11:57:22 PM (5 days ago)
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On Saturday, April 29, 2023 at 5:56:34 AM UTC-5, Archimedes Plutonium wrote: > Copper is 1s-2, 2s-
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Archimedes Plutonium
Apr 30, 2023, 1:14:04 AM (5 days ago)
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Now here I have to stop for a moment and worry and wonder of a factor in efficiency. The worry is
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Archimedes Plutonium
Apr 30, 2023, 8:54:33 AM (5 days ago)
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So I ask the question again is there a mathematics easy way of computing that 50 for copper, rather
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Archimedes Plutonium
Apr 30, 2023, 3:25:25 PM (4 days ago)
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So I am intrigued here because I am making the case that photons and neutrinos from dipoles. That a
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Archimedes Plutonium
Apr 30, 2023, 8:20:27 PM (4 days ago)
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Alright this leads directly into the idea that the composition of the Proton as a 840MeV torus and
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Archimedes Plutonium
Apr 30, 2023, 11:33:15 PM (4 days ago)
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On Sunday, April 30, 2023 at 8:16:55 PM UTC-5, Archimedes Plutonium wrote: > Alright this leads
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Archimedes Plutonium
May 1, 2023, 7:39:22 AM (4 days ago)
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Alright, this is becoming extremely interesting. I have the world divided between either a Transverse
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Archimedes Plutonium
May 1, 2023, 1:07:26 PM (3 days ago)
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I am looking on how to recover a Semicircle wave in the manner that a cycloid wave is constructed.
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Archimedes Plutonium
May 1, 2023, 1:48:32 PM (3 days ago)
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Alright, some good signs in all of this mess. I am looking for rolling of closed curves that recovers
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Archimedes Plutonium
May 1, 2023, 2:00:38 PM (3 days ago)
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Now looking at the Limacon, if we stipulate that the offcenter point has to always be as a
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Archimedes Plutonium
May 1, 2023, 7:28:19 PM (3 days ago)
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On Monday, May 1, 2023 at 1:02:23 PM UTC-5, Archimedes Plutonium wrote: > I am looking on how to
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Archimedes Plutonium
May 1, 2023, 9:53:05 PM (3 days ago)
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So, well, Wikipedia has a animation of a Limacon and the Convex Limacon is almost a circle but a part
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Archimedes Plutonium
May 1, 2023, 10:57:40 PM (3 days ago)
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Now I am going to go contrary to the description of the Dimpled Limacon and say that the Pointer-
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Archimedes Plutonium
May 1, 2023, 11:23:28 PM (3 days ago)
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Now I am pretty sure this is a flaw in Old Math Geometry of their Limacon pointer marker going around
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Archimedes Plutonium
May 2, 2023, 7:45:23 AM (3 days ago)
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On Monday, May 1, 2023 at 11:23:28 PM UTC-5 Archimedes Plutonium wrote: Now I am pretty sure this is
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Archimedes Plutonium
May 2, 2023, 3:23:05 PM (2 days ago)
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Alright, good on MathStackExchange for they have something on cycloid rolling. Titled "Cycloid
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Archimedes Plutonium
May 2, 2023, 5:59:55 PM (2 days ago)
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Major, major Geometry in Motion discovery by Archimedes Plutonium. I discovered this in this writing
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Archimedes Plutonium
May 2, 2023, 6:15:44 PM (2 days ago)
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Now I have a easy intuitive proof that I am correct the cycloid is actually a ellipse. Some geometers
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Archimedes Plutonium
May 2, 2023, 8:04:56 PM (2 days ago)
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This makes sense that circle rolled on straightline is ellipse. Ellipse rolled on identical ellipse
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Archimedes Plutonium
May 2, 2023, 9:54:19 PM (2 days ago)
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This deserves a new separate math book on the massive corrections and changes to Geometry in Motion.
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Archimedes Plutonium
May 3, 2023, 11:25:59 PM (yesterday)
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Flaws and error in Old Math's Limacon, in Cycloid, and in ellipses rolling on identical ellipse--
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Archimedes Plutonium
May 4, 2023, 12:00:08 PM (yesterday)
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Alright, I am onto a project I love doing, totally absorbed. So I get out my geometry wood blocks and
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Archimedes Plutonium
May 4, 2023, 5:35:17 PM (19 hours ago)
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Alright, working on the 4 by 4 by 4 torus of wood blocks. So the 4 by 4 by 4 Cube is volume of 64
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Archimedes Plutonium
May 4, 2023, 8:39:35 PM (16 hours ago)
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On Thursday, May 4, 2023 at 5:34:39 PM UTC-5, Archimedes Plutonium wrote: > Alright, working on
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Archimedes Plutonium
May 4, 2023, 9:53:28 PM (15 hours ago)
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The 5 by 5 by 5 Cube. Volume = 125 SA = 6 x 25 = 150 5 by 5 by 5 torus (by removing 3 by 3 by 5
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Archimedes Plutonium<plutonium....@gmail.com>
12:36 AM (12 hours ago)
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Let me try another even numbered torus, the 6 by 6 by 6 torus. Usually 3 samples are good enough for Mathematical Induction proof and understanding, but in this case, I need 4 samples.

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The 6 by 6 by 6 Cube
Volume is 216
S.A. = 6 x 36 = 216

6 by 6 by 6 torus (by removing inner rectangle of 4 by 4 by 6)
Volume of 6 by 6 by 6 torus is 216 - 96 = 120
S.A. of 6 by 6 by 6 torus is (4x36) + (2x20) + (4x6x4) = 144 + 40 + 96 = 280

Here my ratio of S.A. to volume of torus is 280/120 = 2.3333....

So, well, here I am stumped because I thought it would be a logarithmic decline, but not so. Or, I made several arithmetic mistakes. Or, the convergence for odd numbers is different than even numbers.

Will have to look into it, some more.

AP
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Archimedes Plutonium<plutonium....@gmail.com>
11:57 AM (1 hour ago)
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So I am not getting nice results here.

So I have a sliding down convergence of a sequence. The 3x3x3 torus was 2.666.... the 4x4x4 torus was 2.5 and the 5x5x5 is 2.212...

The 6x6x6 is looking to be 280/120 = 2.3333....

And so I must check and recheck the arithmetic.

Possibly there is a error in removing a 4 by 4 by 6 inner blocks. What if I removed only a 3 by 3 by 6 inner blocks for the donut hole. Maybe I am building a wire instead of a torus by removing so much inner blocks.

AP
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Archimedes Plutonium<plutonium....@gmail.com>
12:42 PM (2 minutes ago)
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Let me try removing a 2 by 2 by 6 and see if the ratio fits better with the 2.212...

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Volume of 6x6x6 is 216 and volume removed is 2x2x6 = 24. So total volume of torus is 216-24 = 192.
S.A. of torus is (4x36) + (2x32) + (6x8) = 144 + 64 + 48 = 256.

This yields a ratio of 256/192 = 1.333...

Now I could go back to the 5 by 5 by 5 Cube and make the donut hole be 1 by 1 by 5. Let me try that.

The volume of Cube 5x5x5 is 125, the volume of torus 5x5x5 is 120.

The S.A. of torus 5x5x5 is (4 x 25) + (2 x 24) + (4x5) = 100 + 48 + 20 = 168

The ratio is 168/120 = 1.4.

So, now, let me recap this sequence ratio is. For 3x3x3 = 2.666.... For 4x4x4 = 2.5. For 5x5x5 = 1.4. For 6x6x6 = 1.333...

Looking better, provided I made no arithmetic mistake or geometry mistake.

AP



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