Explain how postulates are synthesized into Special Relativity?

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SUMMARY

The discussion focuses on the synthesis of the two postulates of Special Relativity as established by Albert Einstein. The first postulate states that the laws of physics are invariant across all inertial reference frames, while the second asserts that light travels at a constant speed, denoted as C, regardless of the motion of the light source. The synthesis of these postulates leads to phenomena such as time dilation and length contraction, which are fundamental concepts in understanding the implications of Special Relativity. The connection between the constancy of the speed of light and the invariance of physical laws is crucial for grasping how these concepts interrelate.

PREREQUISITES
  • Understanding of inertial reference frames in physics
  • Familiarity with the speed of light (C) and its implications
  • Basic knowledge of time dilation and length contraction
  • Conceptual grasp of Einstein's theories of relativity
NEXT STEPS
  • Study the derivation of time dilation in Special Relativity
  • Explore the concept of length contraction and its mathematical formulation
  • Investigate the implications of the invariance of the speed of light on classical mechanics
  • Learn about the Lorentz transformations and their role in Special Relativity
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Students of physics, educators teaching relativity, and anyone interested in the foundational principles of modern physics will benefit from this discussion.

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Homework Statement


[/B]
List two postulates of special relativity and then in your own words explain how these two statements are synthesized in Einstein's theory.

Homework Equations



1. The laws of physics are the same in all inertial reference frames.
2. Light propagates through a vacuum with a speed C, no matter the state of motion other light source.

The Attempt at a Solution



To my understanding Einstein's theory is already comprised of these two postulates. I am not understanding how to explain the synthesization.
 
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Special relativity incorporates things such as time dilation, length contraction, etc. If I had to guess, I would say you are supposed to make the connection from (c is constant in all inertial frames) + (physics is physics in all inertial frames) ##\to## time dilation, for example.
 
C and the laws of physics are they same in all inertial frames:sorry:
 
If I say c is the same in all inertial frames, how does that lead to time dilation? Think light clock.
 
I was giving you the answer to my question, i found it. You were right as well. I'm lost when you mention time dilationo_O
 

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