And light and hope return to the world. Happy Easter everyone!
(Except you, Pedo Joe Biden. You're going to burn in Hell.)
'Normal' is a statistical average. There may be such a thing as a normal person, but I haven't met him yet.
My comments on books, games, guns, science, politics, and whatnot.
And light and hope return to the world. Happy Easter everyone!
(Except you, Pedo Joe Biden. You're going to burn in Hell.)
h was the beginning of quantum physics. It represents the indivisible quanta of light. To get a photon's energy, you multiply its frequency by h. The frequency is, mathematically, the inverse of the wavelength. In other words, h represents the circumference of a circle, the amount of ink you would use drawing one wavelength.
That's easy enough. But what is h-bar (ħ)? It is h divided by 2π. That makes ħ the radius of the circle. (The circumference of a circle is 2πr.) In other words, ħ is the null-to-peak amplitude of a photon. Which photon? Every photon. That was the insight that eventually led to quantum physics.
While we're here, the Heisenberg uncertainty theorem states that the uncertainty in the momentum of a particle, times the uncertainty in its position, cannot be less than ħ/2. In other words, their product cannot be less than half the amplitude of a photon. Which certainly makes sense, because you couldn't possibly measure anything less than that size by any means. Notice that this distance is minuscule! So when you hear people say that you can't know the position and momentum at the same time, they're talking nonsense. Of course you can. But there is an absolute limit to the ability to measure something of that ridiculously small scale of precision. (Notice we're not talking about absolute size, we're talking about the precision of a measurement.) Not just because of the tooling involved, but because it really doesn't make any sense to talk about distances smaller than ħ/2, because a circle smaller than that is less than the amplitude of a photon, and there is no such measurement. Not with any tools. Not even conceptually. In addition, the minimum arises because when you work out the math, at the smallest scales, the uncertainties (precision) in position and momentum sort of end up being reciprocals, just like frequency and wavelength. The less you have of one, the more you get of the other.
Contemplate and compare this relationship with the minimum sampling rate of digital audio, which must be at least twice the maximum frequency of the audio signal being sampled. If you tried to sample at a lower rate, the result would have no relationship to the original signal.
Oddly enough, you can negate the central term, and it still holds true.
0 < (t2 - v2) < c2
Spring is here, ah, spring is here.
Life is skittles and life is beer.“I think I can safely say that nobody understands quantum mechanics.” Richard Feynman, Nobel Prize winner for his research on quantum electrodynamics
Being my cantankerous yet truth-seeking self, I had to comment. The theme is, as always, none so blind as those who just won't see.
Copenhagen Interpretation delenda est!
Entanglement is nothing more than the Zero Principle in action: Everything adds up to zero. When two particles interact in an entangling way, all it means is that they obtain, at that very moment, some set of opposite properties. They carry these opposites forward unless changed, because particles do not change without cause. It does not matter if they travel one millimeter or ten thousand light years, their properties will remain opposites until and unless altered by some force.
Let us say you have a pair of shoes. You place the shoes into identical, unlabeled, opaque boxes and seal them tightly shut. You hand the boxes to someone, and direct them into a dark room. There they place the boxes, unopened, upon a table. They swap them back and forth to their satisfaction. Then they come out, and a third person goes into the dark room. They find two boxes upon a table, and swap them back and forth to their satisfaction. They come out, and a fourth person goes into the darkened room, and selects one box at whim. Locking the door behind him, he comes out with that box, and fly to some distant portion of the globe. When he arrives at his destination, he calls you, and opens the box. At the moment that person tells you which shoe he has, you suddenly and irrevocably know, for a fact, which shoe still lies hidden in the sealed box in the darkened room.
Unpossible! Magic! Quantum strangeness! Or so the Copenhagen junta would have you believe.
I am the leader of Gamergate 2.0, and so can you!
A leaderless insurrection cannot be decapitated. There is no leadership to subvert and control.
This was never truly about video games. It's all about control. Mind control.
"Give me the child, and I will give you back the man."
Links to Wilder's posts on the topic, because he is much more well-written than I.