real measures

[AntonioLao]

These belong to a theory of measurements by real numbers and real observables. Ordinarily, before the advent of any quantum theories, they were taken for granted as physical measurements found in almost all classical sciences. That is where (space) determinism and when (time) determinism are separately questioned and debated. Since space and time were treated independently of each other, all speeds as ratios were necessarily and practically static compared to light speed, 1/∞ for subluminal speeds and ∞/1 for luminal speeds. Mathematically, v/c ® 1/∞ is defined while c/v ® ∞/1 is not with the proviso that infinity is exclusively an algebraic upper boundary value and all other values of speed are within the inner circular neighborhood. Within the circular neighborhood of atomic orbital of unit length fermi light speed is 300 000 000 000 000 000 000 000 per second. Within the neighborhood of planetary orbit of unit length kilometer light speed is 300 000 per second. Within the neighborhood of stars, light speed is .000 0003 per second. Within the neighborhood of galaxies, light speed is .000 000 000 0003 per second. Within the neighborhood of quasars, light speed is practically zero .000 000 000 000 000 0003 per second. Therefore, quasars (see http://en.wikipedia.org/wiki/Quasar) can be considered as isolated systems independent of each other influence. No real measures between quasars would be meaningful unless superluminal.

However, if there exist local infinitesimal angular accelerations then these can be defined as the double rate of change of a circular angle of the local neighborhood with respect to time a = Dq/Dt/Dt, angular displacement per unit time per unit time. The double time derivatives remove the ambiguity between local and global measurements such that the inner product of angular acceleration and the proper neighborhood metric is a constant square of light speed at that particular neighborhood which becomes independent of any scaling factor and applicable for microscopic systems as well as macroscopic systems. Its real measures represented respectively by the magnetic moments and the null rotation of the visible universe. Multiplied by unit mass it becomes Einstein’s mass-energy equivalence. Divided by unit metric for subluminal speeds, its absolute value is equivalent to the centripetal acceleration. Please see the following related websites for more technical information: http://en.wikipedia.org/wiki/Centripetal_force
http://en.wikipedia.org/wiki/Fictitious_force
http://en.wikipedia.org/wiki/Centrifugal_force

[Guille]

Mathematically, v/c ® 1/∞ is defined while c/v ® ∞/1

Then, what 1/∞ is to 0, is what ∞/1 is to what?

And does the inverse of this ratio, being determined by the speed of light, and being this speed a realtive quantity, then the amount of speed which each covers is variable, but what doesn't change is that with 1/∞ the range is always finite but for ∞/1 the rate is always infinite, right?

a= Dq/Dt/Dt, angular displacement per unit time per unit time.

Is this the same to say 'angular displacement per unit of time squared'? If so, this measurement would be equivalent to acceleration. Then, as:

That means that the apparent force is equal to the sum of the product of true mass and acceleration with the product of fictitious mass and acceleration. It is interesting to see that this looks a lot like the sum of PE and KE. Do you think this similarity has any meaning?

[AntonioLao]

Then, what 1/∞ is to 0, is what ∞/1 is to what?

the variable v is for subluminal speed while the variable (actually constant) c is for the speed of light. The former never reaches infinity but the latter reaches infinity with respect to the former. The question is that of the subtle scaling factor for c in dimensional analysis, for example if using the metric system of measurements or other systems.

a= Dq/Dt/Dt

This would indicate the existence of absolute accelerations and orthogonal forces. Their products with the neighboring metrics would produce an invariant of square of light speed.