If one considers the photon as the quantum of energy, and Planck time and length as the quanta of time and space, respectively; would it be reasonable to assume that there a quantum of angular measurement?
You certainly have a knack for posing interesting questions. My answer to this one is: I don’t know…don’t have a clue. As usual, that doesn’t mean that words escape me.
There are 2 ways that we can view the effect of quantum limits: on a large scale, we can only transverse
x amount of Planck Lengths in a single Planck Time. When pushed to the limit, the resulting speed equals
c.
On a small scale, we can not “take a step” that is less than half of Planck Length because we would merely snap back to our original position.
It seems to me that angular increments might have a similar “duality”…so this is what I propose:
From a static position, you are free to start in any direction… the full 360. Once you are in motion; restrictions begin to apply. Let’s say that you are in motion and that you have achieved 99.9999% c; it is impossible to make any sudden turns…even little minute ones (except for one). We can easily assign this maximum angle at a maximum speed a quantum value, (Planck’s Angle?)
Now let’s return to the small scale viewpoint. If you are traveling at the slowest speed possible…let’s say 1 Planck Length during 1 Planck Time and you want to suddenly change direction 90 degrees; perhaps this can only be accomplished by making a series of minute “left turns”.
Perhaps you have introduced another application for the Lorentz Transform.
However, when I think of light reflecting off a mirror; it seems to belie this notion.
