Comparing Event Occurrence Across PORs

  • Context: Undergrad 
  • Thread starter Thread starter whosapopstar?
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on the possibility of events occurring in one Frame of Reference (FoR) but not in another, particularly in the context of Special Relativity. It is established that while events can be unobservable due to factors like event horizons in black holes or the expanding universe, they still occur in all FoRs when analyzed through the Lorentz Transform. The conversation highlights the distinction between local and global coordinates, emphasizing that an event's occurrence is universal, although its observability may vary based on the observer's conditions. The participants also explore the implications of slow transport of clocks and the visibility of light in different environments.

PREREQUISITES
  • Understanding of Special Relativity and Lorentz Transform
  • Familiarity with concepts of Frame of Reference (FoR) and Point of View (PoV)
  • Knowledge of event horizons and their implications in physics
  • Basic grasp of General Relativity and its differences from Special Relativity
NEXT STEPS
  • Study the implications of event horizons in General Relativity
  • Learn about the mathematical foundations of the Lorentz Transform
  • Investigate the concept of proper time versus coordinate time in relativity
  • Explore the effects of slow transport of clocks on time measurement in different frames
USEFUL FOR

Physicists, students of relativity, and anyone interested in the nuances of Frame of Reference and event observability in the context of Special and General Relativity.

  • #91
Ok, let's go back to static images!
Attached is this diagram, please observe details.

d is a very small distance, especially when comparing with the path that ligth beams take between clocks, even very small comparing to the horizontal difference of position between clock A and clock B.

Clock A will indicate which light beam came first: the one from clock C or the one from clock B.

We know that time dilation exists at constant speed and that when we calibrated the apparatus at a slower constant speed, the C clock hindrance of the light beam was exactly in the order to compensate the horizontal difference between clocks A and B and thus, we had the exact same time indications on these clocks (A and B), and hence, clock B indicated that the light beam from clock C arrived first. As well, the mirror reflection time is very small, comparing to anything else described here.

Now we are at a different and faster constant speed, we do not change the apparatus calibration, but still- we know that according to the principle of relativity, time indication of both beams arriving at the clocks, clock A and B, will be an equal time and also as before, clock A will indicate that light arrived first from clock C and not from clock B.

How come? What is the reason? What effect counteracts time dilation, that we know that takes place at a higher constant speed?
 

Attachments

  • Time Dilation1.jpg
    Time Dilation1.jpg
    20.1 KB · Views: 419
Last edited:
Physics news on Phys.org
  • #92
Your description lacks some details but if I understand you correctly, the first of the attached files shows how you would draw it in the applet. The light is emitted at F, triggers clock C as it passes then reflects from the mirror at B before stopping the clock at A. Clock C sends the delayed pulse at D and if I follow your description, the delay is such that the light arrives at A to start the clock (which I show as event E).

The second file shows what the events look like from another frame, i.e. an observer moving right to left hence the clocks are moving left to right. All I did for that was to move the slider. You should be able to see that the diagram shows length contraction, time dilation and the relativity of simultaneity as you move the slider.

p.s. The short horizontal lines on C-D and E-A are the ticks of the clocks.
 

Attachments

  • st_1.png
    st_1.png
    1.2 KB · Views: 415
  • st_2.png
    st_2.png
    1.3 KB · Views: 436

Similar threads

  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 73 ·
3
Replies
73
Views
2K
  • · Replies 58 ·
2
Replies
58
Views
6K
  • · Replies 144 ·
5
Replies
144
Views
11K
  • · Replies 11 ·
Replies
11
Views
719
  • · Replies 14 ·
Replies
14
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 21 ·
Replies
21
Views
4K
  • · Replies 27 ·
Replies
27
Views
3K