THE MAP OF PHYSICS

CONTENTS

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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 Boolean Deduction

GO TO: The Rules of Arithmetic

    GO TO: The Foundation of All Calculation

    GO TO: Infinity

    GO TO: Newton's Zeroth Law

GO TO: Does Mathematical Physics Truly Mimic Reality?

GO TO: The Fundamental Constants of Physics

GO TO: Existence

GO TO: Descartes' "Cogito" and The Map of Physics

GO TO: The Nature of Time and Space

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: Energy Conservation Deduced

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: Lorentz Transformation from Light Alone

        GO TO: Relativity Reviewed

GO TO: The Minkowski Metric

GO TO: The Boundary of Space

GO TO: Zeno's Relativity

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: Faster Than Light

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: The Mass-Energy Relation

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: Lenz's Law

GO TO: A Silly Model of Inertia

GO TO: Maxwell's Equations

    GO TO: Maxwell's Equations, Quick and Easy

GO TO: The Case of Magnetic Monopoles

    GO TO: Revisiting Magnetic Monopoles

    GO TO: Dirac's Quantum Theory of Magnetic Monopoles

    GO TO: Magnetic Monopoles Revisited

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

GO TO: Conservation of Energy - Revisited: Total Destructive Interference

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

GO TO: Optics and Relativity

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 Sagnac Effect

GO TO: Relativity of a Spinning Wheel

GO TO: The Rotating-Frame Metric Tensor

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: The Metric Tensor

GO TO: The Hilbert Action

GO TO: Non-Inertial Frames of Reference

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: Relativistic Gravity

GO TO: Schwarzschild's Christoffel Symbols

GO TO: Inverting the Schwarzschild Transformation

GO TO: The Reissner-Nordström Metric

    GO TO: The Reissner-Nordström Metric Revisited

GO TO: The Kerr Spacetime

GO TO: The Kerr Metric Tensor

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 Helmholtz Theorem

    GO TO: The Third Law of Thermodynamics

GO TO: The Ideal Gas Law

    GO TO: Osmosis

GO TO: The Carnot Cycle

GO TO: The Legendre Transforms

GO TO: Langmuir's Evaporation Equation

GO TO: The Clausius-Clapeyron Equation

GO TO: Perpetual Motion Type II: Dunking for Dynamics

Section B: Statistical Mechanics

GO TO: The Drunkard's Walk

GO TO: The Poisson Distribution

GO TO: Maxwell's Distribution

GO TO: The Partition Function

GO TO: The Boltzmann Factor

GO TO: Gibbs' Paradox

GO TO: Boltzmann's H-Theorem: Part I

GO TO: Boltzmann's H-Theorem: Part II

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: Einstein's Deduction of Planck's Theorem

GO TO: The Photoelectric Effect

GO TO: A Single-Slit Experiment

GO TO: The Cottage-Cheese Model of Light

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: The Quantum Limit

GO TO: Heisenberg's Indeterminacy Principle to Born's Theorem

GO TO: The København Interpretation

    GO TO: The Quantum-Classical Transition

    GO TO: The Quantum Jump

GO TO: The Harmonic Oscillator

GO TO: The Probability Density

GO TO: Conservation of Probability

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 Relativistic Schrödinger's Paradox

GO TO: The Quantum Theory of Angular Momentum

GO TO: The Relativistic Quantum Double-Slit Experiment

GO TO: The Transactional Interpretation

GO TO: Time Reversal

    GO TO: Time Reversal of a Raindrop

GO TO: The Klein-Gordon Equation

    GO TO: The Klein-Gordon Equation; Addendum

GO TO: The Dirac Equation

GO TO: The Gamma Matrices

GO TO: The Proca Equation

GO TO: The Rarita-Schwinger Equation

GO TO: The Quantum Lagrangian

    GO TO: The Quantum Lagrangian: The Dirac Form

    GO TO: The Quantum Lagrangian: The Proca Form

Section B: Matter

GO TO: The Standard Model - Briefly

GO TO: The Fundamental Particles and Their Decays

GO TO: The Particle Zoo

GO TO: Spin

    GO TO: Bosons

    GO TO: Fermions

GO TO: Pauli's Exclusion Principle

GO TO: Electric Charge

GO TO: Neutrinos

GO TO: The Higgs Boson

GO TO: The Quantum Vacuum and Dark Matter

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

GO TO: A Contemplation of Causality

GO TO: Matter-Antimatter Causality

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