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martyf
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Homework Statement
Show that if an hypothetical particle has v>c in a inertial system , v>c in any other
inertial system
Proving Particle Velocity Exceeds c in All Inertial Systems
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SUMMARY
The discussion focuses on proving that if a hypothetical particle has a velocity greater than the speed of light (v > c) in one inertial system, it must also have v > c in all other inertial systems. The solution involves applying a Lorentz transformation to a space-like four-velocity, demonstrating that the result remains space-like. This establishes the consistency of the particle's superluminal velocity across different inertial frames.
PREREQUISITES- Understanding of Lorentz transformations
- Familiarity with space-like and time-like four-velocities
- Basic knowledge of special relativity
- Ability to manipulate mathematical equations in physics
- Study the properties of Lorentz transformations in detail
- Explore the implications of superluminal particles in theoretical physics
- Research the concept of four-velocity in special relativity
- Examine the consequences of space-like intervals in different inertial frames
Students of physics, particularly those studying special relativity, theoretical physicists, and anyone interested in the implications of superluminal velocities in inertial systems.
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