Now I think the most straightforward proof of physics, that the curve line does not exist in physics, but rather, is a multitude collection of straightline segments that are individually too tiny to perceive as straightlines and that we perceive them overall as curved is the Newton prism experiments.
So, if there is never able to have a beam of light to curve, but always refracted and the straightline moves as another straightline at moment of refraction is strong evidence that no curves exist in physics.
In other words, Refraction itself is a phenomenon that exists and it exists because light cannot curve. Light moves from one straightline into its next straightline.
Snell's law is refraction, where the sin of angles of incidence is proportional to the phase velocities
Snell's law is the dy/dx of Calculus, only in Snell's law we replace the dy and dx with physical features of a light beam.
Now some may complain that light is special as compared to a electron and that a electron can move in a curve rather than a collection of tiny straightline segments, but that is not true, for a gamma ray can go into a pair production of electron with positron or a electron can annihilate with a positron and go into being a light ray of gamma.
Now can we go so far as to say that the spectrum color of light of red, orange, yellow, green, blue, indigo, violet (roy g biv) is evidence that no curves exist in Physics or Math, (since math is a subset of physics)?
Well, when we look at the Newton prism of light experiment, we also see that the spectrum in refraction is also coming off the prism as straightlines and never curves.
So what that means is that the spectrum of light is more than just 7 colors but is rather, the infinity number of colors allowed. Now the infinity borderline in Physics is going to be the same as mathematics of 1*10^603. And so, 1*10^603 is the total discrete number of different colors, not just 7.
Now YouTube has some interesting repeats of the Newton prism experiment.
And in an interesting merger between Physics and Mathematics, where the light and prism are in fact, representations of the calculus of the triangle atop the picketfence, and that hypotenuse has to be a straightline and never can be a curved line.
I think I can safely say, the proof in physics that the curve cannot exist but has to be the summation of smaller straightline segments, is all derived from the properties of light and that refraction exists. If light curved, rather than being refracted, then curves would exist. But light does not curve, for rather instead, it enters as a straightline, and instantaneously, exits as a another straightline, it never curves in the process.
The Snell's law is a law of Calculus, for it is dy/dx is proportional to another dy/dx.
Now I think I can prove that no curves exist in Physics from radioactive decay. Here again, if curves existed in physics, radioactive decay would be far different of a phenomenon than what we recognize of it.
More than 90 percent of AP's posts are missing in the Google ?newsgroups author search archive from May 2012 to May 2013. Drexel ?University's Math Forum has done a far better job and many of those ?missing Google posts can be seen here: