Identifying System Equality Across Observers

  • Context: Graduate 
  • Thread starter Thread starter Logic Cloud
  • Start date Start date
  • Tags Tags
    System
Click For Summary
SUMMARY

This discussion centers on the challenge faced by two separated observers with relative velocities trying to determine if they are observing the same mechanical system. The observers can perform non-intrusive measurements and communicate their findings. They can utilize Galilean or Lorentz transformations to compare time and position measurements, but the discussion emphasizes that understanding these transformation laws should not be a prerequisite for identifying system equality. The key focus is on the fundamental properties that define a system from the perspective of different observers.

PREREQUISITES
  • Understanding of Galilean transformations
  • Familiarity with Lorentz transformations
  • Basic principles of mechanics
  • Knowledge of relative motion
NEXT STEPS
  • Research the implications of Galilean transformations in classical mechanics
  • Study Lorentz transformations and their significance in relativistic physics
  • Explore the concept of system properties in physics
  • Investigate methods for non-intrusive measurement techniques in mechanics
USEFUL FOR

Physicists, mechanical engineers, and students studying mechanics who are interested in understanding the implications of relative motion and system identification across different observers.

Logic Cloud
Messages
21
Reaction score
0
Say we have two separated observers which have a velocity relative to each other and are both looking at a system. By a system, I mean simple systems as encountered in mechanics. They want to determine if they are looking at the same system or not. They can perform measurements on the system without disturbing it and they can communicate their results with each other. Is there a way for the observers to determine whether the systems they are looking at are in fact the same system or not?

Of course, they could compare measurements for time and position and see if the results are linked by a Galilean or Lorentz transformation. However, it seems to me you shouldn't have to have knowledge of some transformation law before you can determine if you are seeing the same system or not. In other words: which properties determine a system, taking into account different observers?
 
Physics news on Phys.org
They can always see a copy of a system instead of the same system, with no way to figure that out unless they are allowed to manipulate the system.
However, it seems to me you shouldn't have to have knowledge of some transformation law before you can determine if you are seeing the same system or not.
You need this knowledge, otherwise you don't understand (fast) moving objects.
 

Similar threads

Undergrad Conventionality of the One-Way Speed of Light
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad The Einstein Clock aka Light Clock
  • · Replies 34 ·
2
Replies
34
Views
4K
Undergrad Questions about a thought experiment involving time dilation
  • · Replies 2 ·
Replies
2
Views
1K
Undergrad Transformation Riemann tensor to an accelerating frame
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Black hole and coordinate time from the perspective of Alice outside
  • · Replies 26 ·
Replies
26
Views
3K
Graduate Lorentz Transformations: Why We Need the Same $\gamma$
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad What was the role of frequency in the Michelson-Morley experiment's null result?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Double Pulsar: 16 Year Study Validates Relativity
  • · Replies 0 ·
Replies
0
Views
2K
High School Further Understanding Simultaneity Conventions
  • · Replies 51 ·
2
Replies
51
Views
5K
Undergrad Uncover Traps in Spacetime Diagrams: Bob & Alice's Cases
  • · Replies 33 ·
2
Replies
33
Views
3K