THE MAP OF PHYSICS
CONTENTS
Book I: Relativity
Section A: The Constitution of Reality
In this section I lay the logical foundation upon which we will build the Map of Physics.
GO TO: Prologue
GO TO: The Rules of Arithmetic
GO TO: The Foundation of All Calculation
GO TO: Infinity
GO TO: Newton's Zeroth Law
GO TO: The Fundamental Constants of Physics
GO TO: Existence
GO TO: Conservation of Linear Momentum
GO TO: What Makes a Locomotive Move?
GO TO: Conservation of Angular Momentum
GO TO: Conservation of Mass
GO TO: Conservation of Energy
GO TO: Perpetual Motion; The Overbalanced Wheel
GO TO: The Shape of Space and Einstein's Postulates
GO TO: Revisiting the Finite-Value Theorem
GO TO: Einstein's Question
GO TO: Maxwell's Theory of Relativity
Section B: The Lorentz Transformation
In this section I present my own retelling of Einstein's derivation of the Lorentz Transformation from his postulates.
GO TO: Inertial Frames of Reference
GO TO: Surveying an Inertial Frame
GO TO: The Relativity of Perpendicular Distances
GO TO: Time Dilation
GO TO: An Addendum to Time Dilation
GO TO: The Lorentz-Fitzgerald Contraction
GO TO: Temporal Offset
GO TO: Distance Dilation
GO TO: The Lorentz Transformation
GO TO: The Minkowski Metric
GO TO: The Boundary of Space
Section C: Elaborations of Relativistic Kinematics
In this section I review some of the applications to which we can put the Lorentz Transformation.
GO TO: Paradoxes
GO TO: Lorentz Inversion
GO TO: Tachyons
GO TO: Lateral Velocities
GO TO: The Rindler-Shaw Paradox
GO TO: Revisiting the Boundary of Space
GO TO: Why Wormholes Don't Exist
Section D: Relativistic Dynamics
In this section I apply the kinematics of Relativity to the dynamics of bodies in motion in order to create a truly relativistic physics.
GO TO: Relativistic Mass and Linear Momentum
GO TO: Relativistic Energy
GO TO: The Momentum of Light
GO TO: Relativistic Alchemy
GO TO: Relativistic Potential Energy
GO TO: Four-Vector Kinematics
GO TO: The Relativity of Force
GO TO: The Relativity of Linear Momentum
GO TO: Relativistic Angular Momentum
GO TO: Wigwag Clocks
Section E: Electromagnetism
In this section I consider the topics of electricity and magnetism as relativistic phenomena.
GO TO: Deducing The Newton-Coulomb Law
GO TO: Maxwellian Deduction of Coulomb's Law
GO TO: The Relativity of Electric Charge
GO TO: Electricity in Motion
GO TO: The Electrotonic Field
GO TO: What is Magnetism?
GO TO: A Silly Model of Inertia
GO TO: Maxwell's Equations
GO TO: The Case of Magnetic Monopoles
GO TO: Revisiting Magnetic Monopoles
GO TO: Dirac's Quantum Theory of Magnetic Monopoles
GO TO: The Lorenz Gauge
GO TO: Ørsted's Missed Opportunity
GO TO: The Wave Equation and Its Solution
GO TO: Amplitude Modulation of Electromagnetic Waves
GO TO: Lorentz Transformation of the Electromagnetic Field
GO TO: Revisiting the Force Laws
GO TO: Electromagnetic Energy Density
GO TO: The Electromagnetic Lagrangian Density
GO TO:
The Electromagnetic Field Tensor
Section F: Relativistic Optics
In this section I will look at how Relativity constrains the motion of light. We know that it constrains the speed of light, but now we want to see what it does to the composition of light and the directions in which it flies.
GO TO: Aberration/Doppler Shift of Light
GO TO: The Photodynamics of Moving Bodies
GO TO: The Lorentz Transformation of Light
Section G: Relativity Under Acceleration
In this section I begin to look at the Relativity of generalized motion; that is, of motion not restricted to uniform motion. Here we begin to get into General Relativity.
GO TO: Some Comments on Acceleration
GO TO: Acceleration and The Speed of Light
GO TO: Newton's Bucket and Einstein's Ellipsoid
GO TO: Bennett's Clock Paradox
Section H: Relativity in Rotating Frames
GO TO: The Rotating-Frame Metric
Section I: The Relativity of Gravity
This section covers the more familiar part of what we usually call General Relativity, the part concerned with the relationship between gravity and space-time.
GO TO: The Equivalence Principle
GO TO: Schwartzschild Space
GO TO: Apsidal Precession
GO TO: Deflection of Starlight
GO TO: Shapiro's Delay
GO TO: The Fully Relativistic Schwartzschild Solution
GO TO: The Reissner-Nordström Metric
GO TO: The Kerr Metric
GO TO: Apsidal Precession in Kerr Space
Section J: Cosmology
GO TO: Decoding The Cosmic Background Radiation
GO TO: Taffy Photons and Tired Light
GO TO: The Relativistic Universe
GO TO: Another Look at the Cosmic Background Radiation
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Book II: Thermodynamics
Section A: Classical Thermodynamics
GO TO: The Laws of Thermodynamics
GO TO: The Zeroth Law of Thermodynamics
GO TO: The First Law of Thermodynamics
GO TO: The Second Law of Thermodynamics
GO TO: The Law of Entropy
GO TO: The Third Law of Thermodynamics
GO TO: The Ideal Gas Law
GO TO: The Carnot Cycle
GO TO: The Legendre Transforms
GO TO: Langmuir's Evaporation Equation
GO TO: The Clausius-Clapeyron Equation
Section B: Statistical Mechanics
GO TO: The Drunkard's Walk
GO TO: Maxwell's Distribution
GO TO: The Partition Function
GO TO: Gibbs' Paradox
GO TO: Boltzmann's H-Theorem: Part I
Section C: Relativistic Thermodynamics
The thermodynamics of systems in relative motion.
GO TO:
Section D: Radiation Thermodynamics
The thermodynamics of light, the gateway to the quantum theory.
GO TO: Kirchhoff's Radiation Law
GO TO: Kirchhoff's Law Revisited
GO TO: Kirchhoff's Blackbody Radiation
GO TO: The Entropy of Light
GO TO: The Kirchhoff-Clausius Law
GO TO: Adolfo Bartoli's Derivation of the Kirchhoff-Clausius Law
GO TO: The Stefan-Boltzmann Law
GO TO: Wien's Displacement and Distribution Laws
GO TO: Max Planck's Derivation of the Blackbody Radiation Law
GO TO: Einstein's Derivation of Planck's Blackbody Radiation Law
GO TO: The Photon Puzzle
GO TO: Relativistic Radiation
GO TO: Adolfo Bartoli's Relativity
Section E: Physics in Phase Space
GO TO: Liouville's Theorem
GO TO: The Ergodic Theorem
GO TO: The Relativity of Phase Space
GO TO: The Principle of Least Action
GO TO: Relativistic Least Action
GO TO: The Relativistic Lagrangian
GO TO: Least Action in the Quantum Theory
GO TO: The Principle of Least Action Revisited
GO TO: The Virial Theorem
GO TO: The Relativistic Virial
GO TO: The Virial Theorem in the Quantum Theory
GO TO: Nöther's Theorem
GO TO: The Alleged Teleology
GO TO: DeBroglie's Theorem
GO TO: Poisson Brackets - A Tutorial
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Book III: The Quantum Theory
Section A: Aleatric Fields
A-1: The Old Quantum Theory
(1900 - 1924)
GO TO: The Fundamental Quantum
GO TO: Planck's Theorem
GO TO: A Single-Slit Experiment
A-2: The New Quantum Theory
(1924 - present)
GO TO: Measurement of Action and the New Quantum Theory
GO TO: The Imprecision of Heisenberg's Microscope
GO TO: Heisenberg's Indeterminacy Principle to Born's Theorem
GO TO: The Harmonic Oscillator
GO TO: The Probability Density
GO TO: The Dicke-Wittke Postulates
GO TO: A Rederivation of the Quantum Theory
GO TO: Ehrenfest's Theorem
GO TO: The Basic Single-Particle Aleatric Field
GO TO: Wave Packets
GO TO: The Localized Single-Particle Aleatric Field
GO TO: The Three-Dimensional Single-Particle Aleatric Field
GO TO: Schrödinger's Paradox
GO TO: Schrödinger's Paradox Revisited
GO TO:
The Quantum Theory of Angular Momentum
Section B: Matter
GO TO: The Standard Model - Briefly
GO TO: The Fundamental Particles and Their Decays
GO TO: Pauli's Exclusion Principle
GO TO: Electric Charge
Section C: The Quantum Vacuum
GO TO: The Heisenberg-Schrödinger Quantum Vacuum
GO TO: Feynman Diagrams
GO TO: The Lorentz-Minkowski Quantum Vacuum
GO TO: The Schwartzschild Quantum Vacuum
GO TO: The Kerr Quantum Vacuum
GO TO: The Robertson-Walker Quantum Vacuum
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Book IV: The Map of Physics
GO TO: Logic
GO TO: The Map of Physics Revisited
GO TO: The Efficacy of Imaginary Experiments
GO TO: The Correspondence Principle
GO TO: The Limits of Reason: Moral Relativity
GO TO: The Map of Physics: Language and Reality
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