Recent content by MiljenkoM
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Undergrad General theory of relativity clearly explained
Try this this Lecture Notes on General Relativity.- MiljenkoM
- Post #7
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
Yep, I figured it was question of terminology. My example above was just for illustrative purposes. Hilbert space for the theory is the same in either representation, its interpretation as a Fock space is different.- MiljenkoM
- Post #28
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
No, its not that there is one vacuum. There is one quantum field, inertial observer is reporting that this field is in its "ground" state, or vacuum. And accelerating observer is saying it is not a vacuum state, it is thermal state. They disagree because they have different notion of vacuum...- MiljenkoM
- Post #26
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
If you have access to fantastic book by Sean Carroll - Spacetime and Geometry, you can find best explanation of Unruh effect in chapter 9, he assumes no knowledge of QFT, and derives all you need to know from QFT to understand Unruh effect step by step. I have read a lot on Unruh effect for my...- MiljenkoM
- Post #24
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
You are on the right track. There are many examples of this apparent disagreeing in interpretations of same process. I found this paper particularly interesting - arXiv:gr-qc/9901008v1 Authors discuss weak decay of noninertial protons. Althought inertial protons are stable according to...- MiljenkoM
- Post #22
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
I think I see your point Mentz114, correct me please if I misunderstood something... So, my definition of vacuum is this: State coresponding to intuitive notion of "the absence of anything", or "empty space", without any particles, state with lowest possible energy. Now you say this: This makes...- MiljenkoM
- Post #21
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
Hmm... I think you are interchanging vacuum with frame. There is no contradiction, or am I missing something :/ .- MiljenkoM
- Post #18
- Forum: Special and General Relativity
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Graduate How are the clock hypothesis and Unruh effect reconciled.
I don't agree with bald part. Accelerating observer is constantly accelerating. Whan he is approaching "stacionary" observer, he is slowing down (acceleration), when they are both comoving, accelerating observers still has acceleration since next moment he is traveling faster relative to...- MiljenkoM
- Post #8
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
You can't if you are by yourself :) . But let say that you have a friend named Peter, and you fly by him in accelerating rocket. You: Dude, what do you see? Peter: Dude, I don't see anything, this must be vacuum. You: Strange, my thermometer is showing temperature.- MiljenkoM
- Post #16
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
Hi, Naty1... I'll try to make my points more clear in this post, and if you have any questions after, please ask. Well, there is parse nothing particularly wrong with putting it like that, but I don't think it is very accurate description of effect. It raises a lot of questions if you put it...- MiljenkoM
- Post #15
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
Let me correct my self.. Actually this link gives pretty good description of Hawking radiation. Naty1 by saying gave what author in the link calls watered-down version, and this version is usually given because it simplifies math considerably. That "watered-down" version is what I was...- MiljenkoM
- Post #11
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
I'll like to point out that this view is not completely accurate. What autor, Naty1 is quoting, is describing is Unruh effect in extended Schwarzschild spacetime. The analog of Rindler vacuum state in extended Schwarzschild spacetime is known as Boulware vacuum and analog of Minkowski vacuum...- MiljenkoM
- Post #10
- Forum: Special and General Relativity
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Graduate Einstein Tensor; super simple derivation; where did I go wrong?
I think he meant g^{\mu\nu}g_{\mu\nu}=\delta^{\mu}_{\mu} and this is just trace of Identity matrix, and equals n, where n is dimension of Manifold (usually 4).- MiljenkoM
- Post #9
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
Oh.. you are right, I didn't say what exactly I was disagreeing in OP. I'm not disagreeing with paper you attached. I'm disagreeing on a way that OP is defining a particle. Positive and negative modes functions are not particles. So when you use Bogoliubov transformations you are not turning...- MiljenkoM
- Post #6
- Forum: Special and General Relativity
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Graduate Unruh Effect: Virtual Particles Become Real in Accelerated Frames
I don't think negative energy particles are virtual particles, but antiparticles.- MiljenkoM
- Post #4
- Forum: Special and General Relativity