davelook wrote:
I wondered if my idea of forces being actually the resultant of random 3D motion is a type force (t/s^2).
Per Larson, (Neglected Facts of Science, p. 13), "force" is a property of motion, not anything independent, so technically it would be a distributed motion, not a random one (difference being that a distributed motion has equal probabilities in all orientations, whereas random does not).
davelook wrote:
In electrical terms, P=I*E (or in mechanical, it's P=F*v). Of course, Volts and Force are both t/s^2. Since we know that v (or I) is "c", what would the pure dimensionless ratio indicate the force as? I thought it could be be some number distantly related to sqrt3, since we are talking about 3D scalar motion (something like the unit cube
If you were talking about 3D
scalar motion, the factor would be the cube root, not the square root of 3, since the scalar dimensions are independent of each other and have no geometry ("magnitudes" cannot have orientation; "unit cubes" are a spatial coordinate concept, not a scalar one).
Based on the dimensions of your equations, it is more likely that you are dealing with 1D scalar motion that is distributed into 3 coordinate dimensions (the other 2 scalar dimensions being unity). This fits with the electrical applications, as electrons have motion in only 1 scalar dimension.
davelook wrote:
but more just the probabilities of completely random (scalar?) motion, where 3 randomly oriented of units of motion AVERAGE OUT as a velocity of sqrt3(space)/3(time), or 3/3^2, or simply s/t^2. The SPEED is 1 to 1, but the VELOCITY is reduced when doing a random walk.
I assume you understand that "power" (1/s) is just the counterspatial measure of "space" (s/1). This has certain implications:
- Power is non-local.
- Speed and velocity are local measurements, and hence inapplicable in counterspace (space to time measure).
- Energy and force are non-local measurements, applicable to counterspace (time to space measure).
- Counterspace is polar (second power relations, as viewed from space, hence sqrt relationships often result).
davelook wrote:
Low and behold, my heart actually skipped a beat, because (Rinf*2)/c= .073208856, and (sqrt3)-1 = 0.732050808
0.732050808 / .073208856 = 1.0000515821E-01
So your equation is:
(Rinf * 2) / c = (sqrt(3) - 1) / 10
Which, IMHO, is a bit too precise to be ignored.
davelook wrote:
I think the "minus 1" has to do with the fact that the "initial unit" has equal probability of "outward or inward", and so you can't rightly count it.
In my opinion...
The "minus 1" is the conversion from "motion" to "displacement," since all our scientific measurements are made based on displacements, not actual speeds or energy. The 0-0-(1) of the electron is a displacement, the actual speed of the electron being 1/1-1/1-2/1.
For the "sqrt(3)"... counterspace, as viewed from space, is scale
variant, in other words, trying to measure it like trying to measure something in a hall of mirrors, because the measurement is a summation of an infinite series of reducing scales--each reflection is composed of smaller reflections. This results in counterspatial measurements returning irrational numbers, usually some type of series expansion. The sqrt(3) is such a number:
sqrt(3) = 1 + 2/(2+2/(2+2/(2+...)))
(You might find
Archimedes` constant PI and the Square Root of 3 to be somewhat interesting).
From the expansion, you can see that sqrt(3) is a scale variant sequence, which starts with unity (progression) + a reflected displacement s=(2/(2+s))... In an approximation, it could be written 1 + 2/s (and we know that 2/s is the wavelength of space--wavelength being a "discrete unit" of counterspace, per the
"Forces and Force Fields" discussion).
davelook wrote:
I have no idea why it's reduced by a factor of .1, tho.
I am puzzled by this, also. Based on the position in the equation, and the fact that it is unitless, it is acting like a probability distribution, which I would have expected to be 8 (2
3), not 10. Don't know where the extra 2 degrees of freedom could come from, but I will investigate.
In summary, the implication is that the Rydberg constant is actually a measurement of the power of the progression of the natural reference system. Being that
Planck's constant is the momentum of the progression, what I think we are starting to see is that all the "natural constants" are just ways to view the effects of the progression on the dimensions of extension space.
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Every dogma has its day...