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comment What are the relative limitations of the Schrödinger, Pauli, and Dirac Equations?
Both the Dirac equation and the Klein-Gordon equation fail to make much sense if you attempt to use them as single-particle wave equations. They both require the "correct" interpretation, which is in the context of quantum field theory. When you mix relativity and QM you're inevitably led to many-particle systems, where particles can be created and destroyed.
Dec
12
comment What's the Cause of Quantum Entanglement?
@Sofia Just so you know, you said "the-function" instead of "wave-function."
Dec
5
comment Can Schwarzschild black holes evaporate?
The Schwarzschild metric is static by definition. If the metric changes over time then it's not the Schwarzschild metric. Simple as that.
Dec
5
comment Find time-parametrization given path and speed of a particle
Hint: the speed is the magnitude of $r'(t)$.
Dec
1
comment The virtual particles are only a fictive tool in equations? DO they exist or DON'T? And if they exist, why do we call them VIRTUAL?
@PeterShor I see what you're saying, that anything we interact with must be a bit off-shell, but I think you're carrying the interpretation of Feynman graphs too far. They are just approximation tools. Particles aren't "really" in momentum eigenstates either. If I was going to describe what's "really" going on I wouldn't use perturbation theory or virtual particles to begin with.
Dec
1
comment The virtual particles are only a fictive tool in equations? DO they exist or DON'T? And if they exist, why do we call them VIRTUAL?
@PeterShor An external line doesn't necessitate observation, as you seem to imply. That's just bad logic. External lines correspond to particles which can be observed, but they don't need to be.
Dec
1
comment The virtual particles are only a fictive tool in equations? DO they exist or DON'T? And if they exist, why do we call them VIRTUAL?
@PeterShor It seems like you're going out of your way to make it sound absurd. Virtual particles are internal lines by definition. Internal lines are not observed by definition. Therefore, virtual particles are not observed by definition. It's not complicated, and it's not circular. Also notice that I never said, "particles are virtual because they're not observed." That simply does not follow from the logic.
Dec
1
comment The virtual particles are only a fictive tool in equations? DO they exist or DON'T? And if they exist, why do we call them VIRTUAL?
@PeterShor How is it a tautology to say something is true by definition?
Nov
30
comment Schwarzschild Radius vs Gravitational Pull? Error in Model?
Newtonian gravity is a weak-field static limit approximation of General Relativity. That means it works well when the gravitational field is relatively small and everything is moving slowly compared to light. When you want to consider extreme objects like black holes, Newtonian gravity will simply fail to be accurate in their vicinity. You need to do full-fledged GR to get the correct predictions.
Nov
28
comment Why do we use functional integration in QFT?
@AlexNelson But the path integral doesn't say that "$x^0$ is the $t$-coordinate." You integrate over four-volume $\sqrt{-g} d^4 x$, which is a coordinate-invariant object.
Nov
25
answered A true singularity at $t=0$, coordinate independent Big Bang
Nov
25
comment On which basis we think there is something more than just super dense matter in black holes?
Peter should also be aware the Schwarzschild coordinate $r$ does not actually correspond to "distance from the center." The distance between two values of $r$ is determined by an integral over the line element.
Nov
25
comment Gravity at event horizon
Except the quantity you've defined as "g" is not particularly meaningful. It does not correspond to any type of measurable acceleration. The proper acceleration required to hover near the event horizon asymptotically approaches infinity as $r \to 2GM/c^2$.
Nov
24
revised Gravitational Time Dilation Formula?
Clarified the post.
Nov
24
comment Gravitational Time Dilation Formula?
@Hypnosifl Indeed. I'll edit my post accordingly.
Nov
24
answered Gravitational Time Dilation Formula?
Nov
24
comment What does this depiction of a black hole in the movie Interstellar mean?
I remember reading somewhere that Chris Nolan decided to cut out Doppler effects, and he also had them drop the angular momentum well below what would be required for the extreme time dilation the crew experiences. He apparently thought that these would confuse the audience too much.
Nov
24
comment Movie Interstellar - Question about Escape Velocity
@ChristianRau I replied to the post :).
Nov
23
comment Deriving a Useful Solution of the Schrödinger Equation
@Ruslan "Schrodinger" is a common spelling, whether originally correct or not, and is listed as one of the spellings on Erwin's wiki page.
Nov
23
comment Can we explain Newton's first law mathematically?
You might be interested in the answers here: physics.stackexchange.com/q/66057