I What is the physical cause behind time dilation?

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Time dilation arises from the constancy of the speed of light across all inertial frames, leading to the conclusion that the passage of time cannot be uniform for all observers. This phenomenon is not due to any physical change in size or mechanics but is a consequence of how different observers define time and space in relative motion. The relativity of simultaneity plays a crucial role in understanding time dilation, as it illustrates that two observers moving relative to each other will perceive time differently. While mathematical explanations exist, the fundamental physical cause remains tied to the invariant speed of light, which necessitates the existence of time dilation. Ultimately, time dilation is an intrinsic aspect of the fabric of spacetime, shaped by the principles of relativity.
  • #31
Mister T said:
Ask yourself what physical phenomenon is responsible for the fact that the reading on a clock changes continuously?
Still in the analog world, are we?:wink:
 
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  • #32
Mister T said:
Ask yourself what physical phenomenon is responsible for the fact that the reading on a clock changes continuously?
If you want to know that, ask me, Sorcerer... because the answer is ~MAGIC!~
 
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  • #33
Jazzyrohan said:
I know that things do not actually change size in their reference frames but only is observed to be doing so. I am asking if time dilation occurs due to the time taken by the light to reach us or something of that sort.

I like the perspective it's the geometry of spacetime; however that is one step after the most favored irreducible reply, that c is invariant. Am surprised no one mentioned causality. That's a fun one to think of as being the cause of time dilation / length contraction.

For a simply put book on SR, Relativity (a brief insight) by Russell Stannard is one I like. He put's a fair amount of emphasis on measurement (in turn perspectives); which I find important when developing an understanding of the concept in general.
 
  • #34
Rap said:
There's no physical phenomenon, its a point-of-view phenomenon. It's like asking "when I look at circle head-on, it looks like a circle, but when I view it from an angle, it looks like an ellipse. What is the physical phenomenon which causes this?"

Different inertial frames have different "points of view", they divide spacetime up into space and time in different ways. People in different inertial systems disagree about the time between two events in the same way people viewing a circle at different angles will disagree on what it looks like. They both understand why they disagree, just as relativity explains why two inertial systems may disagree.

There's also the Block Universe interpretation:
The physical phenomenon is not that one looks at a physical 3D object from a different point of view, but rather that one observes a different cut through a physical 4D 'spacetime' object.

(To follow your circle/ellips comparison: the ellips is not a different view of the circle, but a cut at a different angle though a cylinder)
 
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  • #35
nitsuj said:
I like the perspective it's the geometry of spacetime; however that is one step after the most favored irreducible reply, that c is invariant. Am surprised no one mentioned causality. That's a fun one to think of as being the cause of time dilation / length contraction.

For a simply put book on SR, Relativity (a brief insight) by Russell Stannard is one I like. He put's a fair amount of emphasis on measurement (in turn perspectives); which I find important when developing an understanding of the concept in general.

I would have mentioned causality and other things but I was too busy to comment and the thread has gone on for a while now.
But since you mentioned causality...
I would say that the big idea in relativity and spacetime, at the deepest level, isn't the Lorentz group but it is the causal structure.
And there are some interesting papers along these lines.

"Causality Implies the Lorentz Group"
Journal of Mathematical Physics 5, 490 (1964); https://doi.org/10.1063/1.1704140
E. C. Zeeman

"A contribution to chronogeometry"
Canad. J. Math. 19(1967), 1119-1128 https://cms.math.ca/10.4153/CJM-1967-102-6
A. D. Alexandrov

"Zeeman topologies on space-times of general relativity theory"
Communications in Mathematical Physics, October 1976, Volume 46, Issue 3, pp 289–307 https://doi.org/10.1007/BF01609125
Rüdiger Göbel

and likely what first inspired this line of thinking was

"The Absolute Relations of TIme and Space" (1921) and "The Geometry of Time and Space" (1936)
https://archive.org/search.php?query=creator:"Robb,Alfred+A."
A.A. Robb ( https://en.wikipedia.org/wiki/Alfred_Robb )
where he used the notion of "after" (a partial order relation) to try to "derive" Minkowski spacetime.
Robb introduced the notion of "rapidity" is relativity.
His "Optical Geometry of Motion" (1911) https://archive.org/details/opticalgeometryo00robbrich is surprisingly insightful for 1911, just a few years after Minkowski (1907) and Einstein (1905). You can see aspects of the radar method in it.
 
  • #36
Grinkle said:
It sounds like you are invoking a mechanical metaphor by using the word rotation, but I can't follow what you are saying (and I am not implying that is your fault). Can you clarify?
"Hermann Minkowski developed the concept of three-dimensional space combined with time to form a four-dimensional space-time. The importance of this concept is that... the effect of relative movement... appears in the same manner as does the effect of a rotation in three-dimensional space." -- Dr. Ron Davis
 
  • #37
David Lewis said:
appears in the same manner as does the effect of a rotation in three-dimensional space."
Coordinate transformation for rotation is given by, say ##\theta## is rotaion angle,
x'=x\ cos\theta + y\sin\theta
y'=-x\ sin\theta + y\cos\theta
which satisfies the relation
x'^2+y'^2=x^2+y^2Similarly that of boost is given by, say ##\theta=\frac{v}{\sqrt{1-v^2}}## where dimensionless v is ##v=V/c##
ct'=ct\ cosh\theta + z\sinh\theta
z'=-ct\ sinh\theta + z\cosh\theta
which satisfies the relation
c^2t'^2-z'^2=c^2t^2-z^2

cosh and sinh are hyperbolic cos and hyperbolic sin.
 
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  • #38
EDIT
For boost
tanh\theta=v=V/c,
\theta=tanh^{-1}v
 
  • #39
It is just an explanation of how the space-time coordinate system that we perceive and measure things in works. I don't know if you want to call that a physical thing or a mathematical thing.
 
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  • #40
EDIT^2 to post#37
z'=ct\ sinh\theta+z\ cosh\theta
 
  • #41
"It is sometimes said that length contraction occurs because objects rotate into the time axis. This is actually a half truth, there is no actual rotation of a three dimensional rod, instead the observed three dimensional slice of a four dimensional rod is changed which makes it appear as if the rod has rotated into the time axis. In special relativity it is not the rod that rotates into time, it is the observer's slice of the worldtube of the rod that rotates." https://en.wikibooks.org/wiki/Special_Relativity/Simultaneity,_time_dilation_and_length_contraction
 
  • #42
A bit of a necropost (revival of a old thread, where the OP has most likely moved onto other topics) here , the latest post being on july 25 2019, the previous post on Nov 4 2018.
 

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