Archives for Special Relativity
Hannon’s Criticism of Einstein’s original derivation
Breakdown of Hannon’s Criticism of Einstein’s Derivation 1. Setup of Einstein’s Derivation Einstein considers two coordinate systems: Stationary system \( K \): Coordinates \( (x, y, z, t) \) Moving…
Minkowski and Lorentz Transformations
Minkowski proposed that time itself should be considered as one of the coordinate axes, alongside the three spatial dimensions Lorentz Transformation: The concept of Lorentz transformations, which describe how…
Measuring the Speed of light in vacuum
Measurement of the Speed of Light in a Vacuum Solution: Apparatus: Pulsed laser source Beam splitter Two mirrors (one movable and one fixed) Fast photodetector Oscilloscope Procedure: Set up the…
Verify that a boost in the x-direction that any object traveling at speed c in an inertial frame S travels at speed c in the boosted frame.
Verify directly from the form of the Lorentz transformation representing a boost in the x-direction that any object traveling at speed c in an inertial frame S travels at speed…
Relativity – Theory of Invariants
Relativity just saws that certain physical quantities should remain invariant regardless of the reference frame they are viewed in. A Vector is invariant regardless of the frame it is viewed…