Matterwave's latest activity
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Matterwave reacted to Roberto Pavani's post in the thread Undergrad Question about increasing laser power with
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The answers above are correct. Just adding a safety note: any laser above ~500 mW (Class 4) requires proper eye protection, not just... -
Matterwave reacted to .Scott's post in the thread Undergrad Question about increasing laser power with Like.
There are two kinds of lasers, continuous wave (CW) and pulse. Since you're thinking of CW, that is what I will address. Most CW...
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Theorems 9.4.2 and 9.4.3 in Wald prove this, the first for the family of curves between fixed points ##p## and ##q##, the second for the...
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Extremal doesn't always mean maximal. An example is a free-fall geodesic orbit around a planet; its proper time is extremal but not...
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A curve that has extrmal length between two points has to be geodesic. It follows from the first variation of arc-lenght. Wald does the...
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Matterwave replied to the thread Graduate Singularity Theorems.This helped me visualize different geodesics between two points one which maximizes and one which only extremizes. Thanks! It was...
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Matterwave replied to the thread Graduate Singularity Theorems.I reread the sections carefully. I *think* I have resolved my confusion. The core confusion indeed came from my reading of "extremal"...
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Matterwave reacted to Demystifier's post in the thread Graduate Musing on the Foundations of Statistical Mechanics with Like.
Gibbs and Boltzmann entropy are not the same, but in thermal equilibrium they have the same value. For some foundational, philosophical...
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Matterwave replied to the thread Graduate Singularity Theorems.Let me digest and reread the section when I get a chance. I'll be back if I have more questions! :)
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I just looked up the theorem in Wald to see how it is explicitly stated. Theorem 9.5.1 states a maximum length to the past of the given...
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First, even if this happened, you would still have incomplete geodesics. So it wouldn't change the conclusion that incomplete geodesics...
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Matterwave reacted to PeterDonis's post in the thread A question about quantum entanglement with Like.
The correlations associated with "thermal nonlocality" can't violate the Bell inequalities, so no, I would not say they're "similar...
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Matterwave reacted to Sambuco's post in the thread Graduate How valid is the indivisible interpretation of quantum mechanics? with Like.
If you're interested in reading about the indivisible interpretation, it might be best to start with one of the earlier works. The proof...
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My (very) rough sketch of the set up of the time-like singularity theorems as presented by Wald: 1. Get Raychaduri eqns and find that...
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Matterwave replied to the thread Graduate Musing on the Foundations of Statistical Mechanics.I would like to hear more about this :) I'm just now getting to the section in Khinchin where he makes the formal analogy/conversion...