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    From Archimedes Plutonium@21:1/5 to All on Mon Oct 23 14:57:44 2023
    AP's 260th book of science-- List of Derived Physics & Math constants, by Archimedes Plutonium
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    Read my recent posts in peace and quiet.

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    Archimedes Plutonium
    Sep 29, 2023, 3:29:27 PM

    AP's 260th book of science-- List of Derived Physics & Math constants, by Archimedes
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Sep 30, 2023, 5:15:51 PM

    Tentatively I have a list of 17 constants of physics, math, chemistry, biology, science in general 1
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Sep 30, 2023, 11:22:15 PM

    Alright, I have taken the Fibonacci sequence out to 2584. 1,1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 1, 2023, 12:53:17 AM

    On Saturday, September 30, 2023 at 11:21:42 PM UTC-5, Archimedes Plutonium wrote: > Alright, I
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    Archimedes Plutonium
    Oct 1, 2023, 1:02:28 AM

    Now I probably will need 0 in this list, making my entrees so far count to 18. Tentatively I have a
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    Archimedes Plutonium
    Oct 1, 2023, 1:38:22 AM

    Let me bump the list up to 20 entries, for we definitely need 0.5 or 1/2, especially the magnetic
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 2, 2023, 3:04:40 AM

    Now this book is mostly a listing of previous work I have done. A listing of constants and not much
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 2, 2023, 4:58:06 PM

    Alright some Planck units area is (h-bar*G)/c^3 = 2.61*10^-70 m^2 (Wikipedia) And volume in Planck
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 2, 2023, 5:20:42 PM

    Alright, I think I am very close to solving this. Looking for the isotopes of Plutonium. --- quoting
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    Archimedes Plutonium
    Oct 3, 2023, 12:43:54 AM

    Alright, I need the pair of fractions representing Shells and Subshells of Plutonium of 22/7 and 19/7
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 3, 2023, 12:49:18 AM

    Alright, I need the pair of fractions representing Shells and Subshells of Plutonium of 22/7 and 19/7
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 3, 2023, 6:39:18 PM

    I need also to include the theory of nines into this list. The idea that the summation of digits of a
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 7, 2023, 12:41:23 AM (13 days ago)

    One of the reasons I wanted to do this book, was because I suspected my Boltzmann constant derivation
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 5:25:40 PM (10 days ago)

    On the chapter of the constant of exponential constant 2.71828..... I need to do better job than all
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 7:03:08 PM (10 days ago)

    I thought it might be painful in recovering and extracting this information I wrote many years ago,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 7:08:04 PM (10 days ago)

    Archimedes Plutonium<plutonium....@gmail.com> Feb 13, 2015, 2:02:31 AM    to
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 9:22:50 PM (10 days ago)

    Now the summation of pi and 2.71828.... is 5.859..... And looking to see if there are any math or
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 10, 2023, 12:03:04 AM (10 days ago)

    On Monday, October 9, 2023 at 9:19:46 PM UTC-5, Archimedes Plutonium wrote: > Now the summation of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 10, 2023, 11:29:53 AM (10 days ago)

    Some progress but quite a bit more work--- A list of discovered and derived constants of Physics and
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 11, 2023, 3:07:35 PM (9 days ago)

    The theory of nines is very amazing and dazzling. I have yet to fully understand it. It is of course
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 11, 2023, 11:37:08 PM (8 days ago)

    On Wednesday, October 11, 2023 at 3:05:18 PM UTC-5, Archimedes Plutonium wrote: > The theory of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 12, 2023, 2:20:44 PM (8 days ago)

    Let me try 11111111 is not evenly divisible by 9 Trying 111111111 is evenly divisible by 9 What about
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 2:57:45 AM (7 days ago)

    Unfortunately this has become my 260th book of science, no longer my 258th for I am stalled by
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 3:21:17 PM (7 days ago)

    Yes indeed this is my 260th book for I was not aware that it would be a 100 pages or more. And with
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 10:08:22 PM (6 days ago)

    1,1,2,3,5,8,13,21,34,55,89 2,2,4,6,10,16,26,42,68 3,3, 6,9,15,24,39,63 4,4, 8,12,20,32,52,84 5,5, 10,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 4:16:02 PM (6 days ago)

    Alright that was yesterday, and today is 14Oct2023. There is a smaller grid system than the 10 Grid
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 9:42:47 PM (5 days ago)

    On Saturday, October 14, 2023 at 1:41:37 AM UTC-5, Archimedes Plutonium wrote: > On Saturday,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 9:45:53 PM (5 days ago)

    In AP's 260th book// Only the Decimals form a valid Arithmetic & Math Number System-- Binary,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 1:39:44 PM (3 days ago)

    AP's 260th book of science// Derived Constants of Math-- bringing down a closed figure to that of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 2:06:26 PM (3 days ago)

    So we take a circle, say a unit circle of diameter 1 has a circumference of 3.14159..... Now we want
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:20:28 PM (2 days ago)

    Alright the complexity of the circumference of the ellipse. --- quoting the Internet on this
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:44:36 PM (2 days ago)

    Now my first reaction to this rather bewilderment. Because I consider the ellipse to be a squashed
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:59:23 PM (2 days ago)

    On Tuesday, October 17, 2023 at 11:44:02 PM UTC-5, Archimedes Plutonium wrote: > Now my first
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 18, 2023, 12:17:10 AM (2 days ago)

    Now this is not the first time of some goofball prankster attacking me and other people, by rigging
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 18, 2023, 3:57:37 PM (2 days ago)

    On Wednesday, October 18, 2023 at 12:13:45 AM UTC-5, Archimedes Plutonium wrote: > Now this is not
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 19, 2023, 12:46:55 AM (yesterday)

    Alright, things are becoming much clearer to me on this vexing issue of the complexity of ellipse
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    1:22 AM (15 hours ago)

    On Thursday, October 19, 2023 at 12:43:39 AM UTC-5, Archimedes Plutonium wrote in sci.math: >
    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium....@gmail.com>
    10:35 AM (6 hours ago)



    to Plutonium Atom Universe
    Alright, doing some experimenting here, today.

    So I take the circle and enclose it inside a square and throw away one side of the square. This tells me the value of pi is at least 3. But it does not tell me the 0.14159.... portion of pi.

    So I go to the next figure of a regular-pentagon and put a circle inside it.

    I use a ruler and measure the diameter of 3 cm, and the side of regular pentagon as 2.2cm.
    Here the circle gives me 3*3.14159 = 9.424 while regular pentagon gives me 2.2*5= 11. And sigma error would be 11/9.424 = 16.7%

    Now I go to a regular-hexagon and put a circle inside it.

    I again use ruler and measure circle diameter is 4 cm and side of regular-hexagon is 2.3cm.
    Here the math gives me 4*3.14159= 12.566 versus 2.3*6 = 13.8. And sigma error of 13.8/12.566 = 9.8%

    Now a regular octagon enclosing a circle, and I measure circle at 2.7cm with side of regular octagon 1.1cm. The math gives me 2.7*3.14159 = 8.482 and 1.1*8 = 8.8 for a sigma error of 8.8/8.482 = 3.7%

    Now I am using regular polygons with circles inside from the Internet, and not drawing these myself.

    So I go to a 12-gon, a regular 12 gon and on the Internet with a circle inside. I measure it as 3cm diameter circle with sides of 12-gon as 0.8cm. The math gives me 3*3.14159 = 9.424 and 0.8*12 = 9.6 for a sigma error of 9.6/9.424 = 1.8%.

    In doing this exercise, gave me pause of thought, for what is a proof that always a straightline figure that has a curved closed figure inside it, what is a proof that the straightline figure is larger in perimeter than the perimeter of the curved figure.


    So I need a proof that the enclosing figure perimeter is always larger than the interior figure perimeter.

    AP
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    Archimedes Plutonium<plutonium....@gmail.com>
    4:36 PM (now)



    to Plutonium Atom Universe
    Looks like I am going to end this book on a note of Proof, something unexpected, I would say, very unexpected.

    Often we replace or substitute a Axiom of math with sheer commonsense.

    If you have a round like closed figure inside a closed straightline figure, what is there to say that the perimeter of the closed straightline figure is always larger than the inscribed closed curve figure?? Such as a circle inside a regular hexagon?

    I see no axiom of Old Math nor of New Math that states-- perimeter of inscribed is smaller than perimeter of circumscribed.

    Do we need that as a axiom or postulate or can it be proven from existing axioms?

    I would say it can be proven if we can prove a link between area and perimeter of a figure. So that all circles inside a regular n-gon is a smaller circumference than the perimeter because it is obvious the area of n-gon is larger.

    But we need a link to area and perimeter, and I see no link up as yet. Perhaps Calculus can link up area with perimeter. For the well known Y--> 1/x curve, that the area of the entire first quadrant is larger than the area consumed by the curve 1/x (
    upside down). And what of successive curves 1/x^2 then 1/x^3 seem to converge upon the two axes themselves of x axis and y axis.

    So I am caught by surprise that this book on constants-- helping me remember how the most important constants of math and physics are derived is ending up with a Proof.

    Well of course, naturally, the King of Science is never done with anything for Science is ever more ongoing.

    AP, King of Science
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    12:21 PM (5 hours ago)



    to
    AP's 260th book of science-- List of Derived Physics & Math constants, by Archimedes Plutonium
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    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Sep 29, 2023, 3:29:27 PM

    AP's 260th book of science-- List of Derived Physics & Math constants, by Archimedes


    One of the reasons I wanted to do this book, was because I suspected my Boltzmann constant derivation
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 5:25:40 PM (13 days ago)

    On the chapter of the constant of exponential constant 2.71828..... I need to do better job than all
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 7:03:08 PM (13 days ago)

    I thought it might be painful in recovering and extracting this information I wrote many years ago,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 7:08:04 PM (13 days ago)

    Archimedes Plutonium<plutonium....@gmail.com> Feb 13, 2015, 2:02:31 AM    to
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 9, 2023, 9:22:50 PM (13 days ago)

    Now the summation of pi and 2.71828.... is 5.859..... And looking to see if there are any math or
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 10, 2023, 12:03:04 AM (13 days ago)

    On Monday, October 9, 2023 at 9:19:46 PM UTC-5, Archimedes Plutonium wrote: > Now the summation of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 10, 2023, 11:29:53 AM (13 days ago)

    Some progress but quite a bit more work--- A list of discovered and derived constants of Physics and
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 11, 2023, 3:07:35 PM (11 days ago)

    The theory of nines is very amazing and dazzling. I have yet to fully understand it. It is of course
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 11, 2023, 11:37:08 PM (11 days ago)

    On Wednesday, October 11, 2023 at 3:05:18 PM UTC-5, Archimedes Plutonium wrote: > The theory of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 12, 2023, 2:20:44 PM (10 days ago)

    Let me try 11111111 is not evenly divisible by 9 Trying 111111111 is evenly divisible by 9 What about
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 2:57:45 AM (10 days ago)

    Unfortunately this has become my 260th book of science, no longer my 258th for I am stalled by
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 3:21:17 PM (9 days ago)

    Yes indeed this is my 260th book for I was not aware that it would be a 100 pages or more. And with
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 13, 2023, 10:08:22 PM (9 days ago)

    1,1,2,3,5,8,13,21,34,55,89 2,2,4,6,10,16,26,42,68 3,3, 6,9,15,24,39,63 4,4, 8,12,20,32,52,84 5,5, 10,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 4:16:02 PM (8 days ago)

    Alright that was yesterday, and today is 14Oct2023. There is a smaller grid system than the 10 Grid
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 9:42:47 PM (8 days ago)

    On Saturday, October 14, 2023 at 1:41:37 AM UTC-5, Archimedes Plutonium wrote: > On Saturday,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 14, 2023, 9:45:53 PM (8 days ago)

    In AP's 260th book// Only the Decimals form a valid Arithmetic & Math Number System-- Binary,
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 1:39:44 PM (5 days ago)

    AP's 260th book of science// Derived Constants of Math-- bringing down a closed figure to that of
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 2:06:26 PM (5 days ago)

    So we take a circle, say a unit circle of diameter 1 has a circumference of 3.14159..... Now we want
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:20:28 PM (5 days ago)

    Alright the complexity of the circumference of the ellipse. --- quoting the Internet on this
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:44:36 PM (5 days ago)

    Now my first reaction to this rather bewilderment. Because I consider the ellipse to be a squashed
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 17, 2023, 11:59:23 PM (5 days ago)

    On Tuesday, October 17, 2023 at 11:44:02 PM UTC-5, Archimedes Plutonium wrote: > Now my first
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 18, 2023, 12:17:10 AM (5 days ago)

    Now this is not the first time of some goofball prankster attacking me and other people, by rigging
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 18, 2023, 3:57:37 PM (4 days ago)

    On Wednesday, October 18, 2023 at 12:13:45 AM UTC-5, Archimedes Plutonium wrote: > Now this is not
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 19, 2023, 12:46:55 AM (4 days ago)

    Alright, things are becoming much clearer to me on this vexing issue of the complexity of ellipse
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 20, 2023, 1:22:29 AM (3 days ago)

    On Thursday, October 19, 2023 at 12:43:39 AM UTC-5, Archimedes Plutonium wrote in sci.math: >
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 20, 2023, 10:35:02 AM (3 days ago)

    Alright, doing some experimenting here, today. So I take the circle and enclose it inside a square
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 20, 2023, 4:36:16 PM (2 days ago)

    Looks like I am going to end this book on a note of Proof, something unexpected, I would say, very
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 21, 2023, 12:16:45 AM (2 days ago)

    Alright, I need to include also the question of surface area and volume, not just perimeter and area.
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 21, 2023, 1:07:54 PM (yesterday)

    Alright, I need to include this idea into this constants book under geometry. As to what is a "
    Archimedes Plutonium's profile photo
    Archimedes Plutonium
    Oct 22, 2023, 12:47:35 AM (yesterday)

    Now, I love geometry, of all the math subjects, I am strongest in geometry. Compared to algebra which
    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium....@gmail.com>
    Oct 22, 2023, 11:26:26 PM (13 hours ago)



    to Plutonium Atom Universe
    Now I need to add the constant of Physics of Psi^2 in Shrodinger wavefunction. It is a strange constant for it is a constant-of-format, not of a particular number value. A constant of a technique. And I want to make it as simple as possible so that High
    School students can understant it. The mark and quality of a science as to its understanding, rests upon whether High School students can understand the subject. As of today, few college students can understand what Psi^2 is or means, even in the best of
    classrooms.

    And do it in a fashion and style that is horribly difficult. I intend to do it as a extended chapter of Jacobs book "Mathematics A Human Endeavor, 1970, Chapter 8 The Mathematics of Chance (1) Probability-- The Measure of Chance (2) Some Dice
    Probabilities (3) Binomial Probability (4) Pascal's Triangle (5) Independent and Dependent Events (6) Complementary Probabilities.

    I have already written a book on Psi^2 and intend on including some of this work into that book also.

    My 112th published book of science.

    New Perspective on Psi^2 in the Schrodinger Equation in a Atom Totality Universe// Atom Totality series, book 5

    by Archimedes Plutonium (Author) (Amazon's Kindle)

    I first heard of the Schrodinger equation in college chemistry class. We never actually did any problem solving with the equation, and we were only told about it. Then taking physics my next year in college and after I bought the Feynman Lectures on
    Physics, just for fun for side reading, three volume set did I learn what this Schrodinger equation and the Psi^2 wavefunction was about. I am not going to teach the mathematics of the Schrodinger equation and the math calculations of the Psi or Psi^2 in
    this book, but leave that up to the reader or student to do that from Feynman's Lectures on Physics. The purpose of this book is to give a new and different interpretation of what Psi^2 is, what Psi^2 means. Correct interpretation of physics experiments
    and observations turns out to be one of the most difficult tasks in all of physics.

    Cover Picture: a photograph taken of me in 1993, after the discovery of Plutonium Atom Totality, and I was 43 years old then, on a wintery hill of New Hampshire. It is nice that Feynman wrote a physics textbook series, for I am very much benefitting from
    his wisdom. If he had not done that, getting organized in physics by writing textbooks, I would not be writing this book. And I would not have discovered the true meaning of the Fine Structure Constant, for it was Feynman who showed us that FSC is really
    0.0854, not that of 0.0072. All because 0.0854 is Psi, and Psi^2 is 0.0072.


    Product details
    • ASIN : B0875SVDC7
    • Publication date : April 15, 2020
    • Language: : English
    • File size : 1134 KB
    • Text-to-Speech : Enabled
    • Screen Reader : Supported
    • Enhanced typesetting : Enabled
    • X-Ray : Not Enabled
    • Word Wise : Enabled
    • Print length : 20 pages
    • Lending : Enabled
    • Best Sellers Rank: #240,066 in Kindle Store (See Top 100 in Kindle Store) ◦ #5 in 30-Minute Science & Math Short Reads
    ◦ #65 in General Chemistry & Reference
    ◦ #481 in Physics (Kindle Store)

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    Archimedes Plutonium
    12:54 PM (4 hours ago)



    to


    So now, let me get going on this project and looking to Feynman Lectures on Physics.

    In his Volume 3 of Lectures on Physics, 1965, page 21-6 he talks about "The meaning of the wave function"

    --- quoting ---
    When Schrodinger first discovered his equation he discovered the conservation law of Eq.(21.9) as a consequence of his equation. But he imagined incorrectly that P was the electric charge density of the electron and that J was the electric current
    density, so he thought that the electrons interacted with the electromagnetic field through these charges and currents. When he solved his equations for the hydrogen atom and calculated Psi, he was not calculating the probability of anything --- there
    were no amplitudes at that time -- the interpretation was completely different. The atomic nucleus was stationary but there were currents moving around; would radiate light. He soon found on doing a number of problems that it did not work out quite right.
    It was at this point that Born made an essential contribution to our ideas regarding qauntum mechanics. It was Born who correctly (as far as we know) interpreted the Psi of the Schrodinger equation in terms of a probability amplitude-- that ver
  • From Archimedes Plutonium@21:1/5 to All on Mon Oct 23 20:11:01 2023
    I wrote:
    So now, let me get going on this project and looking to Feynman Lectures on Physics.

    In his Volume 3 of Lectures on Physics, 1965, page 21-6 he talks about "The meaning of the wave function"

    --- quoting ---
    When Schrodinger first discovered his equation he discovered the conservation law of Eq.(21.9) as a consequence of his equation. But he imagined incorrectly that P was the electric charge density of the electron and that J was the electric current
    density, so he thought that the electrons interacted with the electromagnetic field through these charges and currents. When he solved his equations for the hydrogen atom and calculated Psi, he was not calculating the probability of anything --- there
    were no amplitudes at that time -- the interpretation was completely different. The atomic nucleus was stationary but there were currents moving around; would radiate light. He soon found on doing a number of problems that it did not work out quite right.
    It was at this point that Born made an essential contribution to our ideas regarding qauntum mechanics. It was Born who correctly (as far as we know) interpreted the Psi of the Schrodinger equation in terms of a probability amplitude-- that very
    difficult idea that the square of the amplitude is not the charge density but is only the probability per unit volume of finding an electron there, and that when you do find the electron some place the entire charge is there. That whole idea is due to
    Born.
    --- end quoting ---

    Now Feynman in his Volume 1, to his credit, does discuss Probability theory, to sort of lead a student to quantum mechanics probability. But in my opinion, his probability is far too abstract.

    I want probability teaching so that High School students can breeze through it.

    So I intend to write this on Psi^2 so that High School students follow it easily.


    Going back to page 21-4

    (21.9) delP/del(t) = Psi"(delPsi/del(t)) + Psi (delPsi"/del(t))

    And the reason I focus upon that equation is because it is the Pythagorean theorem of A^2 + B^2 = C^2.

    Quantum Mechanics is duality and the Wave is a duality of electricity to magnetism. The Circle formed from right-triangles in sine and cosine. Where one side is electricity, other is magnetism, or, current and magnetic monopole.

    When we form the trigonometry half circle of sine or cosine, they are formed by the motion of right triangles where the Pythagorean right triangles A^2 + B^2 = C^2.

    AP

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