A truly instantaneous photo does not contain motion information at all, and so cannot be said to make anything "appear" at rest except to the naive. A finite-time photo will reveal motion blurring. In no case will a photo indicate that objects in motion are at rest.
Indeed it does not. DHamilton's post was nonsensical and counterfactual.
That's wishful thinking on your part. You've conflated a skewed tangential unrelated comment with the content of my post. There isn't a piece of data in the universe that demonstrates that elementary charged particles that are overlapping in the same momentum space will behave according to Coulomb's Law... while on the other hand a pair of, say, protons... that are at rest with respect to one another will have parallel trajectories with respect to any third particle in the universe that has some component of its relative motion that is normal to a plane containing those two protons...
Those parallel trajectories will make them to be parallel current elements. In conductors in which charged particles are moving in the same direction (parallel current carrying wires, for example) the experimental data shows that they are strongly attractively interactive.
Now we know that the force between parallel current carrying conductors is given by:
F = (2k* I1*I2 * L)/R
where I1,I2= Current in amps = q/t and L = length of parallel conductors in meters (or v*t for particles),
K= 10e-7 nt/amp2 R= distance between the conductors in meters F= newtons
If the currents are anti-parallel (moving in exact opposite directions) to one another then the force is repulsive. And we know that there is no force between them (other than gravity) when they are not carrying a current so that the implication is that the relative motion of the charges is related to the force between them.
This follows from the idea is that a charge in motion is the simplest definition of a current and that a charged particle in motion is really a quantum scale or microcurrent element.
So it is that any two like charged fundamental particles which are in the same rest frame (recall that they have parallel velocities with respect to any third particle in the universe that has some component of its motion that is normal to a plane that contains both charged particles) are really two parallel current elements and so will be attractively interactive.
If those two particles are oppositely charged they still will have parallel velocities but they will be anti-parallel current elements and according to the equation would repel one another.
Any two particles which have relative motion already have anti-parallel trajectories. Remember, at the quantum or discrete particle level a particle doesn't have a single discrete velocity with respect to an ensemble of particles but has rather a multiplicity of velocities. In a universe of n particles each particle has n-1 velocities as it is juxtaposed with respect to every other particle in the universe of which there are exactly n-1. Therefore, it always has n-1 momentum states or one with respect to each and every other particle in the universe.
Charged particles that have relative motion, if they are the same sign will behave as Coulomb's law predicts and if they have opposite signs then they still behave according to Coulomb's Law... There has always been the assumption that charged particles at rest will also behave this way ...but there is actually no data that exists that confirms this ...primarily because that assumption isn't true at all. To deny what I'm saying is to deny the experimental data along with denying the most straightforward and reasonable interpretation of Maxwell's equations.
There damn well ought to be lots of resistance to this because it turns out to invalidate volumes of assumptions related to charged particles and this explodes right into the purview of astrophysics and cosmology... requiring thousands of tons of books to be hauled to the trash. Don't kill the messenger, guys... the message will live on because it happens to be the Truth ... and happens to quite a bit more substantial than the fictions you were too witless to believe before you swallowed them... Welcome to the light you citizens of the darkness...
DHamilton