deriving speed of light out of just pure mathematics; 2nd attempt #583 Correcting Math
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From: Archimedes Plutonium on 10 Apr 2010 02:47 The Planck length is 16.1 x 10^-36 m, and comes from L = sqrt(hG/ (c^3)) The Planck time is 5.3 x 10^-44 s, and comes from T = sqrt(hG/(c^5)) And many critics will obtusely enter this by thinking, well, why bother with Planck units in the first place, since they involve the speed of light and when divided, is the speed of light. Answer: I need to involve the Planck units in order to tell me the (order of magnitude) of large numbers. The Planck length and time tell me I have to focus on a hunt for 10^44 and 10^36 for the Loxodrome and Meridian. In my 1st attempt of doing this, deriving the speed of light purely from mathematics, I was thinking that I needed the order of magnitude of 10^500 or thereabouts. In my last post I said, the constant angle is more of a toll than the constancy of "pi". So it boils down to me having to find, if and whether, the loxodrome and meridian have an **intrinsic 10^-44, and 10^-36 or inverses** contained within themselves? So is there a intrinsic 10^44 and 10^36 or inverses contained within? Let me point out three possible intrinsic containments. Notice there is a problem in the starting of the Loxodrome for the golden mean log-spiral. There are two unit squares in the Fibonacci sequence. So where exactly does the Loxodrome start? And does this start coincide with the North Pole and does it end exactly on the South Pole? Now the start of the log-spiral in a rectangle of whirling squares is easily pinpointed by diagonals. Some websites show these cross diagonals that pinpoints the start. But I am wondering if this is a disparity and a small disparity of the order of 10^-44 versus 10^-36. If it is a truly genuine disparity and is of these orders of magnitude, then immediately we can see how every angle of loxodrome to meridian is swayed by this disparity. And a second possible intrinsic containment for 10^44 versus 10^36, is what I would call a curve built out of points. Unlike standard-math where we assume infinity of points between any two points, here I am speaking of finitism of points to compose geometry curves or lines. Now notice that the Meridian is a curve that is far smaller than the curve of the Loxodrome from pole to pole. So if we were to assign points, how many points would we need in order to build a Loxodrome versus a Meridian? Would we need, in finite-math, would we need 10^36 to build the meridian and with respect, or linked to the loxodrome, would we need 10^44 such points? Now there is a third possible intrinsic containment, in that the angle can be formed from a triangle that is superimposed of the angle. And the triangle has a third side, whereas the angle has only two sides. By insisting on a third side, we can thence eliminate the units whether, m/sec or cm/sec or miles/hour etc etc. So in this manner, or fashion, by forming a triangle at the angle in question, we eliminate the units, but we still have the constant angle, and we thence, inspect the other two sides to see if we can have 10^-36 and 10^-44, given that this triangle is a meter second triangle. Archimedes Plutonium http://www.iw.net/~a_plutonium/ whole entire Universe is just one big atom where dots of the electron-dot-cloud are galaxies
From: glird on 10 Apr 2010 12:10
Hello, Archy. You've evidently been talking with yourself in this thread. Here are some things from "The Anpheon" that may interest you: Note that 2.9982002, the first dimension in the velocity of light given above, is the only number that produces the following result: Call that number "n". Then, the log of n times the lnx of n equals precisely the ratio of the volume of any sphere divided by that of its circumscribing cube, pi/6. There has to be a mechanism by which the successive such radiating waves orient each other into the very same overall sine wave pattern that each one of the emitting group initiates. If not, chaos would erupt rather than an identical line spectrum for one and a zillion hydrogen or other element's atoms. We thus take the vast intuitive jump: A purely relational set of actions takes place within the multiple sine-wave pulses simultaneously emitting and then merging as the light wave progresses. It is governed by geometrical spatial and temporal relations between variable density and pressure disequilibria in process of reaching a common relative velocity that satisfies the different absolute velocities on the way toward some unknown target with which they resonate in a way that allows them to be absorbed. The wavular is finalized by the summation process, as provided by the step in which we took the secant (inverse of cosine) of any number (where the number denotes the relation in degrees between positions of individual segments of the group), by the Naperian log, "lnx" that permits rates of change of density and sorce to be constant per unit distance during radiation of the summed pattern, by base ten logarithmic arithmetic for some reason or other (possibly to allow classical squares of the distance to apply in normal numbers) and by dividing by .06 because that gives us the right product. The overall concept produced by watching how the successive numbers emerge during the six step operation is that the impulses will stagger all over the place as they sum with each other, but in a finite and brief period the relations temporarily reached will always keep changing as different strength pulses and different temporary density summations orient one another's pecking order just as our sineman- sinewoman discussions of two such patterns described; until equilibrium within the Naperian group is reached when each initial sine-wave-action has achieved a position where its absolute velocity is satisfied by the density of the luminiferous exther it traverses at the same relative velocity as that of the one in front whose instantaneous inther is that luminiferous exther. If, then, each of the simple sine wave patterns summing with the others is identical to the others, the ultimate equilibrium would be a simple sine-wavular pattern of summed intensity and a common pattern of gradients per successive wavular.* That's why, ten billion years of well buffeted travel later, a line spectrum is still obtained from the innumerable atoms simultaneously emitting infinitesimally close photons that sum up to become the gaseous star's light that passes through an Earthman's prism. * Warning! Do not leap ahead to apply this to your notions about thermionic emission of electrons. The pons do not react to wavulars. They react to the generally discontinuous cycles that fit, in the four- dimensionally continuous cloud of passing wavulars. In passing, note that mem52/mem2 = #; and 100 x #/(pi/6) = 441, from which we can again obtain 269... the pure number way. What can we do with this 269.870078 that emerges from the pure number game? Oh, by the way, - the arcsine of 1/(1+Fs/105) = 2.997832; which, times 1010 is 99.996% of the data value of c's first dimension. Anyway, 1/("radius" of proton [from inverse of sine 54N] x 269.870078) = 2.9978018x1010, which is how the pure numbers arrived at this value of c, and vice versa as Mr. Maginary loved to add. So, you see, we can even derive the local velocity of light, in local vacuo, via our little local hand calculator. Sometimes the pure numbers do fit better than in reality, where the properties of actual material play their .4% spoiler role just to prove that matter really exists in the objective world out there where Man's mind can probe infinitely further than his material body could. Another chuckle? Try this for mass: (pi/6 value of radius of pon)2 times (inverse sine 54N radius of proton) times 269.870078 equals 9.1452235 -28; which is about our pure number value of the mass of an electron, and which, times 2, is pretty close to the mass-equivalent of our basic pax photon, doncha know. Let's play with this a bit: The square root of [m_e {this mass of an electron} times our pure value of c] is within 99.84% of our pure 273.193 ratio of some other purely reached atomic values. Note that when a jig saw cuts out a picture, converting it into a jigsaw puzzle, some sawdust is lost. I would imagine that a 99.6+% fit would be pretty accurate. As our chips fall where they may, a picture does emerge. You saw it described above. Uh oh (6/26/90). A fantastic new "magic number" just jumped up on the TI-55111! Here it is: The ratio of mass of a proton to that of an electron is given as 1836.5 : 1. One of the magic numbers is 273.19306. The square of 1836.6 is 3372732.3. This, divided by 273.19306 equals 12345.6789; which not only matches another magic number, but whenever you see such a regular successive whole number progression emerge from interrelations between otherwise seemingly completely unrelated products of atomic values, you know that an intimate cause and effect signal has just been given by your pure though chaotic mathematics. (6/19/90) volume of ratio sphere divided by pax = about the frequency of visible light! Not wavelengths of the pax, wavelengths between the spirals! Far out thought: The helicopter army pilots said the tractor beam was a green light. Is the frequency of green light about 2^14? |