Book contents

Classical Physics

10 parts · 14 sections

  1. Part -1: Philosophical and Physical terminology and definitions and concepts
    1. Ch. -1.1: Ontology and Epistemology upon Physicalism vs Anti-Physicalism
      1. Epistemology
      2. Ontology
      3. Physicalism
    2. Ch. -1.2: Philosophical Pillars of Physics
      1. Semantic Realism and Falsifiability
  2. PART 0: THE METAPHYSICAL PROLOGUE
    1. Ch. 0.1: The Materialists & The Atomists (Thales to Democritus)
    2. Ch. 0.2: The Clash of Being vs. Becoming (Parmenides & Heraclitus)
    3. Ch. 0.3: The Pluralists & The Idealists (Empedocles, Anaxagoras, Pythagoras, Plato)
    4. Ch. 0.4: The Teleological Giant (Aristotle & The Four Causes)
    5. PHIL Embedded: The birth of the Ontology vs. Epistemology problem. Why defining the "real" is already an act of framing.
  3. PART 1: THE RELATIONAL RUPTURE
    1. Ch. 1.1: The Demotion of Earth (Copernicus & Kepler's Laws)
    2. Ch. 1.2: Galileo's Ship (The Principle of Relativity & The Birth of Inertia)
      1. Galileo's Ship
      2. Galilean Relativity
      3. Indifference to Motion or Rest
    3. Ch. 1.3: Descartes' Plenum (The Mechanical Philosophy & Mind-Body Dualism)
    4. PHIL Embedded: Kant's Copernican Revolution. How Galileo's relativity prefigures Kant's claim that we only know phenomena, not noumena.
  4. PART 2: THE GRAND SYNTHESIS
    1. Ch. 2.1: Newton's Calculus (Limits, Derivatives, ODEs)
      1. Fluxion
    2. Ch. 2.2: The Laws of Motion & Universal Gravitation (F=ma, Inverse-Square)
      1. Newton's Law of motion
    3. Ch. 2.3: The Scholium on Absolute Space & Time (The Bucket Argument)
    4. Ch. 2.4: Leibniz's Relational Critique (Space as the order of coexistence)
    5. PHIL Embedded: The Absolute vs. Relational debate. Laplacian Determinism and the question of free will.
  5. PART 3: THE ANALYTICAL REVOLUTION
    1. Ch. 3.1: D'Alembert's Principle & The Birth of the Virtual (Virtual Work)
    2. Ch. 3.2: Lagrange & Generalized Coordinates (Euler-Lagrange, L = T - V)
    3. Ch. 3.3: Maupertuis & The Principle of Least Action (Teleology returns)
    4. Ch. 3.4: Hamilton & Phase Space (H = T + V, Canonical Equations)
    5. Ch. 3.5: Hamilton-Jacobi & The Optical-Mechanical Analogy (Action as wavefront)
    6. PHIL Embedded: The resurrection of Aristotle's Final Cause. The shift from local causation to global optimization. The bridge to quantum mechanics.
  6. PART 4: THE FIELD & THE ETHER
    1. Ch. 4.1: Faraday's Lines of Force (The ontological shift to fields)
    2. Ch. 4.2: Maxwell's Synthesis (The Equations, the Wave Equation)
    3. Ch. 4.3: The Luminiferous Ether (The return of the absolute background)
    4. Ch. 4.4: The Self-Interacting Electron Problem (Infinite energy/mass)
    5. PHIL Embedded: Action-at-a-distance vs. Field ontology. The underdetermination problem (prelude to Lorentz-Einstein).
  7. PART 5: RELATIVITY — THE DEATH OF THE BACKGROUND
    1. Ch. 5.1: The Michelson-Morley Null Result (The experimental crisis)
    2. Ch. 5.2: Lorentz's Mathematical Fictions (Length contraction, Local time, Transformations)
    3. Ch. 5.3: Poincaré's Group Theory (The Relativity Principle as universal law)
    4. PHIL Embedded (The Erasure Restored): Lorentz and Poincaré had the math. The debate is Instrumentalism vs. Operationalism.
    5. Ch. 5.4: Einstein's Operational Epiphany (Defining time by light clocks, Relativity of Simultaneity)
    6. Ch. 5.5: Relativistic Kinematics & Dynamics (Time dilation, E=mc²)
    7. Ch. 5.6: Minkowski Spacetime (The block universe. The abolition of absolute time)
    8. PHIL Embedded: The final epistemological lesson: Newton's absolute time was never a fact; it was a metaphysical assumption that failed operational definition.
  8. PART 6: THE CURVED ARENA
    1. Ch. 6.1: The Equivalence Principle (Acceleration = Gravity locally)
    2. Ch. 6.2: The Einstein Field Equations (G_μν = 8π T_μν)
    3. Ch. 6.3: Experimental Confirmations (Perihelion, Light deflection, Redshift)
    4. Ch. 6.4: Cosmological Implications (Dynamic universe, Λ, Expansion)
    5. PHIL Embedded: The death of the absolute background. Leibniz wins. Geometry is physics. The "real" is exactly what the measuring rods say.
  9. PART 7: THE CHAOTIC REVOLT
    1. Ch. 7.1: Nonlinear Dynamics & The Sensitivity to Initial Conditions (The Butterfly Effect)
    2. Ch. 7.2: Integrable vs. Non-integrable Systems (KAM Theorem)
    3. PHIL Embedded: Laplacian determinism is mathematically true but practically dead. Predictability is not guaranteed by determinism.
  10. PART 8: THE ARROW OF TIME & THE LIMITS OF KNOWLEDGE
    1. Ch. 8.1: The Reversibility Paradox (Newton's laws run backward)
    2. Ch. 8.2: The Second Law & Entropy (The thermodynamic arrow)
    3. Ch. 8.3: The Gibbs Paradox & Maxwell's Demon (Entropy and knowledge)
    4. Ch. 8.4: The Reductionism Debate (Can thermodynamics be reduced to mechanics?)
    5. Ch. 8.5: The Grand Philosophical Summary (What have we learned?)
      1. Ontology of Space/Time (Absolute → Relational)
      2. Nature of Physical Law
      3. Underdetermination & Theory Choice
      4. The Epistemological Lesson: The "real" is defined through measurement and metaphysical commitment.
      5. The Bridge to Quantum Mechanics (How Hamilton-Jacobi and the role of the observer flow into the quantum revolution).
Sections6
  1. Galileo's Ship
  2. Source
  3. Extracted Text
  4. In Modern Days Analogy
  5. Relativity
  6. Galilean relativity

Galileo's Ship§

Source§

Galileo's Ship Source

Extracted Text§

Shut yourself up with some friend in the main cabin below decks on some large ship, and have with you there some flies, butterflies, and other small flying animals. Have a large bowl of water with some fish in it; hang up a bottle that empties drop by drop into a wide vessel beneath it. With the ship standing still, observe carefully how the little animals fly with equal speed to all sides of the cabin. The fish swim indifferently in all directions; the drops fall into the vessel beneath; and, in throwing something to your friend, you need throw it no more strongly in one direction than another, the distances being equal; jumping with your feet together, you pass equal spaces in every direction. When you have observed all these things carefully (though there is no doubt that when the ship is standing still everything must happen in this way), have the ship proceed with any speed you like, so long as the motion is uniform and not fluctuating this way and that. You will discover not the least change in all the effects named, nor could you tell from any of them whether the ship was moving or standing still. In jumping, you will pass on the floor the same spaces as before, nor will you make larger jumps toward the stern than toward the prow even though the ship is moving quite rapidly, despite the fact that during the time that you are in the air the floor under you will be going in a direction opposite to your jump. In throwing something to your companion, you will need no more force to get it to him whether he is in the direction of the bow or the stern, with yourself situated opposite. The droplets will fall as before into the vessel beneath without dropping toward the stern, although while the drops are in the air the ship runs many spans. The fish in their water will swim toward the front of their bowl with no more effort than toward the back, and will go with equal ease to bait placed anywhere around the edges of the bowl. Finally the butterflies and flies will continue their flights indifferently toward every side, nor will it ever happen that they are concentrated toward the stern, as if tired out from keeping up with the course of the ship, from which they will have been separated during long intervals by keeping themselves in the air. And if smoke is made by burning some incense, it will be seen going up in the form of a little cloud, remaining still and moving no more toward one side than the other.

In Modern Days Analogy§

Imagine you as a child in the backseats of your dad car, and he is driving steadily ( meaning in the ideal case, the car velocity doesn't change in the entire journey ). Meanwhile, you playing with your cousin at the back, you throw balls, throw punches, eat, draw, or even sleep at the back. Minutes after minutes, assuming your dad drives real smooth, you would even forgot you are in a moving car until you look outside, because everything feels and act the same.

If your dad drives unsteadily, then the moment you will genuinely feels and realize the car is moving is when your dad hit a brake or pedal the gas firmly.

Exactly what you will observe on an unseteadfy car depends, but to list some,

  • Your bread crumb will go flying if you are eating bread
  • water will splash into your face if you are drinking water from bottle
  • you yourself will get slam into the car door if your dad have an emergency turn.

Relativity§

This is the principle of relativity, stated that "The laws of physics should be the same in all inertial frame". Where here, "initial frame" means "moving smoothly in a constant velocity".

And as because physics should be the same between outside the car ( the road surface ) and inside the car ( you ), this causes you unable to feel yourself moving no matter what you do.

Galilean relativity§

Specifically, Galilean relativity states the mathematical framework about the general principle of relativity

Special relativity

For those who heard about special relativity, it is based on the same principle of relativity but having a different framework, as we will discuss way later in this book.

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