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).
Sections7
  1. Semantic Realism ( Ontology )
  2. Definition
  3. Role
  4. Falsifiability ( Epsitemology )
  5. Definition
  6. Role
  7. Reference

Semantic Realism ( Ontology )§

Definition§

The standard that the terms used in mathematical equations must successfully refer to actual physical entities or structural relations in the world

Role§

It ensures that mathematical variables represent real elements of nature (like fields, particles, or spacetime curvature) rather than just being convenient calculational tricks.

Falsifiability ( Epsitemology )§

Definition§

Formulated by Karl Popper, this states that for a theory to be scientifically meaningful, there must be a logically possible observation that could prove it wrong.

Role§

It prevents physics from lapsing into dogma or untestable metaphysics; if a theory can explain every imaginable outcome, it actually explains nothing.4. Nomological Necessity (Causal Invariance)

Reference§

As both all the concept are discussed from previous sections, feel free to visit

  1. article-classical-physic-ontology
  2. article-classical-physic-epistemology

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