Archives for Special Relativity
Schrödinger’s Space-Time Structure – Chapter 1
Let’s work through Erwin Schrödinger’s Space-Time Structure one chapter at a time, explaining both the argument and the mathematics. The book’s overall approach Schrödinger builds spacetime geometry in three stages:…
Striking of a bell and the sound heard – as per two observers
Relativistic Bullet & Bell — Two Observers Relativistic Bullet Striking a Bell: Frame Analysis Events in the bell’s rest frame \(S\): \(A\): bullet strikes bell at \((t=0,\;x=0)\). \(B\): bell begins…
Negative Time Delays and Time Travel Paradox Computational Circuits
Deutsch Circuits with Negative Time Delays & Paradox Resolution Deutsch’s Computational Circuits with Negative Time Delays 1) Context: Computation with Closed Timelike Curves (CTCs) Deutsch (1991) proposed a quantum–mechanical model…
Boost of a Singlet Entangled State
Lorentz Boost of a Spin-Singlet: A Worked Example with Wigner Rotations Lorentz Boost of a Spin-Singlet: A Worked Example with Wigner Rotations We show explicitly how a Lorentz boost acts…
Entangled States and Reference Frames
Relativistic Treatment of Entangled Particles Also read - Boost of a singlet entangled state 1. Lorentz Invariance of Entanglement Entanglement is a property of the quantum state as a…
Quantum Particle in an Accelerating Box
Quantum Particle in an Accelerating Box — How to Treat the Problem There isn’t a single “one-size” answer because what you do depends on how the box moves. 1) Box…
Entangled States, Extra Dimensions and FTL
Entanglement, Extra Dimensions, and Faster-Than-Light Communication Entanglement, Extra Dimensions, and Faster-Than-Light Communication The question of whether extra dimensions (spatial or temporal) accessible to entangled systems could allow faster-than-light (FTL) communication…
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…