Crossing the brachistochrone

Background image: Milky Way over the Pinnacles in Australia
[https://apod.nasa.gov/apod/ap160217.html]

Contents

Prologue

Part 1

Einstein’s train
The corridor example
A relativistic triangle
Doppler shift
Lorentz transformation
The ship in the sea
The simple harmonic oscillator
The rocket in space
Wave-particle duality
The wet sponge example
The damped harmonic oscillator
Critical damping

Part 2

The tautochrone problem
The many-photons example
The spaceship in the brachistochrone
From the Earth to Alpha Centauri
Quantum entanglement
Black holes
Energy in the brachistochrone
Energy of the harmonics n
Energy states
The photon and the graviton
The graviton as the brachiston
The universe as a brachistochrone

Part 3

The driven harmonic oscillator
The variable damping factor
Resonance and critical damping
Exponential-sinusoidal driving force
Comparison with relativistic energy
Inertial mass- gravitational charge equivalence
Faster than light
Motion in the brachistochrone  
Anthropic coincidences
Principle of synchronicity
Holographic principle
Consciousness and spacetime

Epilogue