Understanding Relativity: The Sophomore's Question and Einstein's Answer

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Discussion Overview

The discussion revolves around the concept of relativity, particularly focusing on the question of relative motion and the implications of special relativity (SR). Participants explore the nature of velocity, the speed of light as a limiting factor, and the relationship between observers in different inertial frames. The conversation includes theoretical considerations and analogies to clarify these concepts.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification
  • Mathematical reasoning

Main Points Raised

  • Some participants discuss the etymology of the term "sophomore" and its relevance to the question posed about relativity.
  • There is a recurring question about the meaning of "relative to what" when discussing the speed of light and motion.
  • Some argue that in special relativity, velocity is a relational concept, dependent on the observer's frame of reference.
  • One participant suggests that if all objects in the universe were simultaneously accelerated, it could lead to velocities exceeding the speed of light in a different frame, raising questions about the limits of relativity.
  • Another participant challenges the idea of relative velocities being additive, emphasizing that under special relativity, velocities do not simply add as they do in Newtonian physics.
  • An analogy involving magnifying glasses is used to illustrate the concept of relative perception of size and speed between observers.
  • Concerns are raised about the implications of continuous acceleration in a closed universe and how it relates to the speed of light limitation.
  • Some participants express confusion about the application of Newtonian physics to relativistic scenarios and seek clarification on these distinctions.

Areas of Agreement / Disagreement

Participants express a variety of views regarding the nature of velocity and the implications of special relativity. There is no consensus on several key points, particularly regarding the interpretation of relative motion and the application of Newtonian concepts in relativistic contexts.

Contextual Notes

Participants highlight the complexity of understanding relative motion, the limitations of applying Newtonian physics to relativistic situations, and the unresolved nature of certain assumptions about simultaneous acceleration in the universe.

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  • #32
outandbeyond2004: Fascinating!

So, then, given that the CBR is anisotropic, it might be taken to provide a sort of "grid" to the entire universe against which any other velocity or position might be measured - the dreaded K0 and v0?

Need to grind on that for a while!
 
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  • #33
outandbeyond,
Do you know of any evidence of objects in the universe tending to slow down under the anisotropy of the impingent momentum of this radiation? Do you know of any direct physical effects attributed to bombardment by this radiation, specific to its wavelength? Do you have a link to an explanation (of can you give one yourself) of "galactic coordinates?"
 
  • #34
Well, a photon colliding with an electron, say, often would give the electron pause <smile>. Compton scattering and Thomson scattering. Rayleigh scattering is proportional to the 4th power of the frequency. Other kinds of scattering possible. Come to think of it, you want Thomson scattering; Compton scattering is for high-energy photons.

http://farside.ph.utexas.edu/teaching/jk1/lectures/node85.html

Let me know if this is too technical.
 
  • #35
turin said:
outandbeyond,
Do you know of any evidence of objects in the universe tending to slow down under the anisotropy of the impingent momentum of this radiation? Do you know of any direct physical effects attributed to bombardment by this radiation, specific to its wavelength? Do you have a link to an explanation (of can you give one yourself) of "galactic coordinates?"

Of course, the fact that we can measure the CBR indicates a rather ordinary interaction with, say, earthbound observers.

The fact that we can map the CBR implicates it as a reference frame.
 
  • #36
Turin wrote this: "slow down under the anisotropy of the impingent momentum of this radiation."

Not sure what that means. One could say that most collisions are asymmetric, so might as well as ask "slow down after colliding with CRB photons," I think.

As for galactic coordinates, they are merely part of a conventional system astronomers use to locate points in spacetime in a way that is convenient for some problems. Nothing more fancy than the longitude and latitude system that we use on Earth. The galactic coordinates really don't have anything to do with the CRB.

It occurs to me that it is not really easy to use the CRB as a rf. It would be preferable to use the pulsars to set up a rf. Perhaps someday a future Turin will ask a future oney about "pulsar coordinates."
 
  • #37
outandbeyond,
I had never heard of this anisotropy until you posted it, so I am having to make quite a mental extension. I am not trying to discount the existence of the anisotropy; on the contrary, I would be quite shocked to find that that there is none. But I have never seriously considered any of its effects, being overwhelmed with the chore of learning different physical disciplines. I have somewhat of an understanding in physics, but I admit that I don't know much about cosmology or this CRB of which you speak. The intent of my questions was towards the empirical effects, not indirect theoretical predictions.

1) Assuming that the distribution shown in the ovular picture in some way indicate a spatial anisotropy in the frequency of the CBR (which seems to be the point of your post?), then one side of a physical object would be suscepted to a higher impulse than the other, and so, this would cause the object to accelerate towards the "redder" direction of this radiation until it finally (assymptotically) achieved a state is isotropy. Any anisotropy seems like it should induce an embalance in force. Of course, this is nowhere near conclusive, since the absolute intensity could vary independently of the frequency, not to mention that the object may in fact have a nontrivial response to the spectrum. I was wondering if anyone (NASA, USA, Stanford, ...) has experimentally targetted this question and observed, let's say, a tendency for, let's say, very light-weight objects to accelerate in the lab frame towards the "redder" CBR and away from the "bluer" CBR.

2) This question is to address the sub-issue brought up in my mind by the previous question. Perhaps aggregate objects are more proned to respond to the radiation slightly on the red side of 3 K than they would be to radiation slightly on the blue side. Of course, crustals with the appropriate lattice constant would meet this condition, but they are not perfectly isotropic, I'm thinking specifically about amorphous/vitreous isotropic compounds.

3) I didn't suspect galactic coordinates to be anything terribly complicated, or anything but analogous to lat. and lon. But the analogy does not explain them satisfactorially to me. Are they exactly the angular coordinates on the celestial sphere? How do these coordinates map the oval on the site that you have linked? The site mentions that the picture is "in galactic coordinates," yet I see no reference to coordinate surfaces or labeled points on the picture. And furthermore, if I have no reference, then this pictures serves as nothing more than a mathematical abstraction. I do not deny the physical significance of the picture, but I feel just a little gypped that neither the site, nor yourself, have given me a means to physically appreciate it. I suppose I could do my own search for the definition/physical significance, but I figured that, since you brought it up, you could do me the courtesy.
 
  • #38
outandbeyond2004 said:
It occurs to me that it is not really easy to use the CRB as a rf. It would be preferable to use the pulsars to set up a rf.

Well, I wasn't really trying to invent a technology - only to observe that the CBR could be used as a universal reference frame.

But, now that you mention it, perhaps something along the lines of an inertial navigation system could be constructed using the CBR as a reference system.

Not that we would really find this more useful - or accurate - than, say, GPS.

But anyway...
 

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