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  • 234th book of science by AP// Theory of 9s and 360 so important for phy

    From Archimedes Plutonium@21:1/5 to All on Tue Mar 21 19:27:11 2023
    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    Mar 13, 2023, 4:28:38 PM (8 days ago)



    to Plutonium Atom Universe
    Yes, yes, yes, I am homing in on what Theory of 9s is. It is an angle and angles are derivatives. Factorial is total area and area is integral integration.

    The smallest closed geometry figure is equilateral triangle 60-60-60 obeys theory of 9s with 180. The next is the square as regular polygon 90-90-90-90 is 360 and obeys theory of 9s.

    Now it is interesting to note that the 60-60-60 is not useful for closed circuits of electricity and magnetism, for the sharp corners. Nor is 90-90-90-90 and we smooth out the corners becoming more circular.

    But we do note also that electricity is related to magnetism as a perpendicular, 90 degrees. And although 60-60-60 is not a right triangle, that right triangles are embedded into the heart of EM theory, electromagnetism.

    AP
    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    Mar 14, 2023, 1:01:33 AM (7 days ago)



    to Plutonium Atom Universe
    Alright, so we have the Factorial as being Integration of total area. We have the Theory of 9s as being a Angle and thus Differentiation.

    So I need to tie together the two.

    5! = 120
    6! = 720 where 7+2 = 9
    7! = 5040 where 5+4 = 9
    8! = 40320 where 4+3+2=9
    9! = 362880 where 9 &9&9
    10! = 3628800 where 9 &9&9
    11! = 39916800 obeys as 36 sum
    12! = 479001600 obeys as 27 sum
    13! = 6227020800 obeys as 27 sum
    14! = 87178291200 obeys as 45 sum
    15! = 1307674368000 obeys as 45 sum

    So I need a computer to tell me if this Theory of 9s is obeyed out to 1208 digits of numbers.

    Next I need a computer to confirm that regular polygons is obeyed out to 1208 digits of numbers.

    REGULAR POLYGONS and there interior angles

    60-60-60 = 180 = 9s

    90-90-90-90 = 360 = 9s

    108-108-108-108-108 = 540 = 9s

    120-120-120-120-120-120 = 720 = 9s

    128+4/7 *7 = 900 = 9s

    135 * 8 = 1080= 9s

    140 * 9 = 1260 = 9s

    144 * 10 = 1440 = 9

    147+3/11 * 11 = 1620 = 9s

    So I need a computer to confirm both go out to the Algebraic Completeness, where pi has 1 zero digit in the 1208th decimal place value and is evenly divisible by 720 at that spot.

    If there are no hiccups, then I make the First Conjecture of Theory of 9s. It is a Angle versus the Factorial as area. The 9s is a Angle and is a Derivative, while the Factorial is a area or Integral.

    AP

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    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    Mar 14, 2023, 6:37:26 PM (7 days ago)



    to Plutonium Atom Universe
    Reconnection in Quantum Circulation has the units of a derivative meter/second and is of prefix 360.

    Factorial as polynomial function Y = 252x^2 - 2172x + 4680 from 4 to 6, that is virtually the entire 1st Quadrant of mathematics and is area under the function graph-- An Integral.

    So here we have connected up Theory of 9s as derivative and factorial as integral.

    AP
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    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    Mar 19, 2023, 11:09:03 PM (yesterday)



    to Plutonium Atom Universe
    This is my 234th book of science.

    Alright did some thinking in the meantime. So I have the Theory of 9s pegged as a derivative a angle, while the Factorial is a integral-- a area under the graph curve.

    And in this book I attempt to connect the two concepts, by seeing Factorial as integral, yet Theory of 9s as derivative, as a angle.

    Already I have connected them because once you start a Theory of 9s doubling, you continue to have 9s obeyed out to infinity borderline and algebraic completeness 1208th decimal digit of pi.

    360
    720
    1440 etc etc

    from 720 in factorial onward obeys theory of 9s.

    So a geometry explanation is nice at this moment in time. For we know in calculus the derivative is inverse the integral, vice versa.

    Factorial as polynomial function Y = 252x^2 - 2172x + 4680 from 4 to 6. Now taking the derivative of that factorial function we have 504x as derivative with slope 504

    But let us look at other factorials, for 1! = 1 and for 2! = 2 with a graph that would be the identity function Y = x with a 45degree angle. That would be a integral that takes up 1/2 of the 1st Quadrant.

    For a factorial of 6! we have the equation with the 504 derivative.

    For factorial 3! we have x=3 , y = 6.

    So, in our 1! and 2! the Factorial consumed 1/2 of the entire 1st Quadrant. At 6!, the Factorial consumed at least 3/4 of the entire 1st Quadrant.

    In this respect, we can say that as Factorial goes to the Infinity Borderline it consumes the entire 1st Quadrant of its area. Keeping in alignment with the Theory of 9s as a angle for the Theory of 9s is tending toward being a 90 degree perpendicular--
    the y axis itself.

    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    2:33 PM (7 hours ago)



    to Plutonium Atom Universe
    Alright fantastic progress. We can see the factorial function is a integral that occupies more and more of the 1st Quadrant as it increases, and the derivative of this fast approaching the 90degree angle that is the Y axis itself. The factorial starts
    out as 45 degree angle with 1! then 2! but at 3! and there after the angle slope occupies more and more of the 1st Quadrant.

    So at Infinity borderline or algebraic completeness the Factorial function occupies the Whole of the 1st Quadrant.

    And associated with the Factorial is the Theory of 9s as the slope and angle as the derivative of Factorial.

    It is well known that more and 0s are at the tail--end of factorial as it rises ever steeper.

    It is well known that the number preceding a scale number 1000, 10000, 100000, etc is a number of 9s 999, 9999, 99999, etc

    So, what I found here is that the Factorial is a integral and the Theory of 9s is the derivative of Factorial.

    Either at the Infinity borderline 1*10^604 and its inverse or at the Algebraic Completeness 1*10^1208 or its inverse, we can say that Factorial occupies the entire 1st Quadrant of mathematics and along with the Factorial is the associated derivative of
    Theory of 9s.

    AP, King of Science, especially Physics and Logic
    Archimedes Plutonium's profile photo
    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    7:21 PM (2 hours ago)



    to Plutonium Atom Universe
    So for example, say we focus upon 100,000 which does not obey theory of 9s. And we can visualize how factorial will increasing have a larger and larger string of 0s on its tail end. We see that as the integral gaining more and more of the area of the x-
    axis.

    But the number preceding 100,000 is 99,999 which does obey theory of 9s and we can see that number as being the derivative of the factorial.

    Now, is Factorial the largest increasing function in mathematics?

    Decades ago I wanted the most rapidly increasing function to get to the number 1*10^604.

    This is what I found.

    253! = 5.1734609926400789218043308997295e+499
    300! = 3.0605751221644063603537046129727e+614
    19^(22x22) = 8.2554901045277384397095530071882e+618 

    22^(22x22) = 5.4022853245302743024619692001681e+649


    I came to the conclusion that factorial and exponential are interchangeable. Both becoming rapidly increasing.

    AP
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    Archimedes Plutonium<plutonium.archimedes@gmail.com>
    9:25 PM (now)



    to Plutonium Atom Universe
    Now I have not found a new name for "theory of 9s" other than to say it is the gradient or derivative of Factorial function integral. And so that expression is even longer than the expression "theory of 9s". In that case I just keep the expression "
    theory of 9s" which, well come to think of it, is not much longer than the word "factorial".

    Now in physics the theory of 9s is especially important for the number 360 is the bridge to Fine Structure Constant and the full rotation in circle as 360 degrees.

    But notice also in physics that the Proton +Muon = 945MeV which obeys the theory of 9s. Notice also that 840MeV for proton torus, or 105MeV for muon alone do not obey theory of 9s. But when the muon is packed inside the proton torus we have 8+4+1+5 does
    obey theory of 9s.

    Now another fascinating feature of 9 in the theory of 9s. The first number to be evenly surrounded with a central number is 9, you could say 9 is a torus number with the middle number the donut hole.

    123
    456
    789 where 5 is the donut hole

    123456
    789112
    345678 where the 9,1 would be the donut hole

    Ancient Greek mathematics used to have triangular numbers, and had pentagonal numbers and other numbers but not Torus numbers.

    Here AP invents the Torus numbers, another first for AP.

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