Deriving Gamma(v): Start with Galilean Transformation

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SUMMARY

The discussion focuses on deriving the Lorentz factor, gamma(v), using Galilean transformations. The user seeks to eliminate the ratio of time coordinates (t'/t) from the equations to achieve this derivation. A suggestion is made to consult a specialized text on special relativity for a comprehensive understanding of the derivation process. The emphasis is on the foundational principles of relativity as a basis for understanding gamma(v).

PREREQUISITES
  • Galilean transformations
  • Postulates of special relativity
  • Understanding of light pulse behavior in inertial frames
  • Basic mathematical skills for manipulating equations
NEXT STEPS
  • Study the derivation of the Lorentz factor from the postulates of special relativity
  • Explore the implications of Galilean transformations in classical mechanics
  • Investigate the relationship between time dilation and gamma(v)
  • Read a textbook on special relativity, such as "Spacetime Physics" by Edwin F. Taylor and John Archibald Wheeler
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in the mathematical foundations of special relativity and the derivation of the Lorentz factor.

Ivy_Mike
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I would like to derive gamma(v), by starting with the galilean transformations for x and x'. Knowing that t=t'=0, if a light pulse is emitted at the origin of S then the ratio t'/t should somehow be eliminated from the two equations. From there, one can obtain gamma(v).

Any ideas?
 
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Ivy_Mike said:
I would like to derive gamma(v), by starting with the galilean transformations for x and x'. Knowing that t=t'=0, if a light pulse is emitted at the origin of S then the ratio t'/t should somehow be eliminated from the two equations. From there, one can obtain gamma(v).
You derives [itex]\gamma[/itex] from the postulates of relativity. I would suggest you get a book on special relativity and see how it is derived.

AM
 

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