• Mechanics
    • —
      • M1. Vectors vs. Vector Quantities; Scalars vs. Scalar Quantities
      • M2. Significance of Newton’s First Law
      • M3. Newton’s Third Law: Its Formulation, Its Significance
      • M4. Momentum Conservation; Its Central Role
      • M5. Space Homogeneity And Momentum Conservation
      • M6. Inertial Mass
      • M7. Gravitational Mass
    • —
      • M8. Angular Momentum Characteristics
      • M9. Vanishing Of Total Internal Torque
      • M10. The Isotropy Of Space And Angular-Momentum Conservation
      • M11. Energy, A Central Concept
      • M12. Work And Its Relation To Kinetic And Potential Energy
      • M13. From Kepler’s Laws To Universal Gravitation
      • M14. Error And Uncertainty Distinguished
  • Thermodynamics
    • —
      • T1. What Is Thermodynamics
      • T2. Heat Vs. Internal Energy
      • T3. Equipartition And Degrees Of Freedom
      • T4. Frozen Degrees Of Freedom
      • T5. Six Versions Of The Second Law Of Thermodynamics
    • —
      • T6. Available And Unavailable Energy
      • T7. Entropy On Two Levels
      • T8. Subtleties Of Entropy
      • T9. The Arrow Of Time
  • Electricity & Magnetism
    • —
      • E1. Charge
      • E2. Early Links Between Electricity And Magnetism
      • E3. Monopoles, Not!
      • E4. The Q-ℰ-ℬ Triangle
    • —
      • E5. Inductance
      • E6. The Nature Of Light
      • E7. Why Light Travels At Speed C
      • E8. Notes On The History Of Electromagnetism
  • Relativity
    • —
      • R1. Agreement And Disagreement: Relativistic And Classical
      • R2. Transformations: Galilean And Lorentz
      • R3. “Michelson Airspeed Indicator”
      • R4. c = Constant Means Time Must Be Relative
      • R5. More Relativity And More Invariance
      • R6. E = mc2 As Einstein Derived It
    • —
      • R7. Momentum In Relativity, And Another Approach To E = mc2
      • R8. The Fourth Dimension: Spacetime And Momenergy
      • R9. Versions Of The Twin Paradox
      • R10. The Principle Of Equivalence
      • R11. Geometrodynamics
  • Quantum Physics
    • —
      • Q1. Five Key Ideas Of Quantum Mechanics
      • Q2. Granularity
      • Q3. Probability
      • Q4. Annihilation And Creation
      • Q5. Waves And Particles (The de Broglie Equation)
      • Q6. The Uncertainty Principle
      • Q7. Why Is The Hydrogen Atom As Big As It Is?
      • Q8. Localization Of Waves; Relation To Uncertainty Principle
    • —
      • Q9. Planck’s Quantum Not Yet A Photon
      • Q10. Planck’s Constant As The Particle-Wave Link
      • Q11. The Bohr Atom: Obsolete But Important
      • Q12. Bohr’s Key Atomic Postulates
      • Q13. Bohr’s Triumph: Explaining The Rydberg Constant
      • Q14. H-Atom Wave Functions And Classical Correspondence
      • Q15. The Jovian Task: Building The Atoms
      • Q16. Feynman Diagrams
  • Nuclear Physics
    • —
      • N1. Why Are There No Electrons In The Nucleus?
      • N2. The Line Of Nuclear Stability Bends And Ends
      • N3. The “Miracle” Of Nuclear Stability
      • N4. Pauli Letter Proposing What Came To Be Called The Neutrino
    • —
      • N5. Early History Of Radioactivity And Transmutation
      • N6. Bohr-Wheeler Theory Of Fission
      • N7. Sun’s Proton-Proton Cycle
  • General, Historical, Philosophical
    • —
      • G1. Faith In Simplicity As A Driver Of Science
      • G2. Science: Creation Vs. Discovery
      • G3. Is There A Scientific Method?
      • G4. What Is A Theory?
      • G5. The “Great Theories” Of Physics
      • G6. Natural Units, Dimensionless Physics
      • G7. Three Kinds Of Probability
      • G8. The Forces Of Nature
      • G9. Laws That Permit, Laws That Prohibit
    • —
      • G10. Conservation Laws, Absolute And Partial
      • G11. Math As A Tool And A Toy
      • G12. The “System Of The World”: How The Heavens Drove Mechanics
      • G13. The Astromical World, Then And Now
      • G14. Superposition
      • G15. Physics At The End Of The Nineteenth Century: The Seeds Of Rel & QM
      • G16. The Submicroscopic Frontier: Reductionism
      • G17. Submicroscopic Chaos
      • G18. The Future Path Of Science
  • Supplemental
    • Rainbows: Figuring Their Angles
  • Index
Basic PhysicsBasic Physics
A Resource for Teachers by Ken Ford
  • Mechanics
    • —
      • M1. Vectors vs. Vector Quantities; Scalars vs. Scalar Quantities
      • M2. Significance of Newton’s First Law
      • M3. Newton’s Third Law: Its Formulation, Its Significance
      • M4. Momentum Conservation; Its Central Role
      • M5. Space Homogeneity And Momentum Conservation
      • M6. Inertial Mass
      • M7. Gravitational Mass
    • —
      • M8. Angular Momentum Characteristics
      • M9. Vanishing Of Total Internal Torque
      • M10. The Isotropy Of Space And Angular-Momentum Conservation
      • M11. Energy, A Central Concept
      • M12. Work And Its Relation To Kinetic And Potential Energy
      • M13. From Kepler’s Laws To Universal Gravitation
      • M14. Error And Uncertainty Distinguished
  • Thermodynamics
    • —
      • T1. What Is Thermodynamics
      • T2. Heat Vs. Internal Energy
      • T3. Equipartition And Degrees Of Freedom
      • T4. Frozen Degrees Of Freedom
      • T5. Six Versions Of The Second Law Of Thermodynamics
    • —
      • T6. Available And Unavailable Energy
      • T7. Entropy On Two Levels
      • T8. Subtleties Of Entropy
      • T9. The Arrow Of Time
  • Electricity & Magnetism
    • —
      • E1. Charge
      • E2. Early Links Between Electricity And Magnetism
      • E3. Monopoles, Not!
      • E4. The Q-ℰ-ℬ Triangle
    • —
      • E5. Inductance
      • E6. The Nature Of Light
      • E7. Why Light Travels At Speed C
      • E8. Notes On The History Of Electromagnetism
  • Relativity
    • —
      • R1. Agreement And Disagreement: Relativistic And Classical
      • R2. Transformations: Galilean And Lorentz
      • R3. “Michelson Airspeed Indicator”
      • R4. c = Constant Means Time Must Be Relative
      • R5. More Relativity And More Invariance
      • R6. E = mc2 As Einstein Derived It
    • —
      • R7. Momentum In Relativity, And Another Approach To E = mc2
      • R8. The Fourth Dimension: Spacetime And Momenergy
      • R9. Versions Of The Twin Paradox
      • R10. The Principle Of Equivalence
      • R11. Geometrodynamics
  • Quantum Physics
    • —
      • Q1. Five Key Ideas Of Quantum Mechanics
      • Q2. Granularity
      • Q3. Probability
      • Q4. Annihilation And Creation
      • Q5. Waves And Particles (The de Broglie Equation)
      • Q6. The Uncertainty Principle
      • Q7. Why Is The Hydrogen Atom As Big As It Is?
      • Q8. Localization Of Waves; Relation To Uncertainty Principle
    • —
      • Q9. Planck’s Quantum Not Yet A Photon
      • Q10. Planck’s Constant As The Particle-Wave Link
      • Q11. The Bohr Atom: Obsolete But Important
      • Q12. Bohr’s Key Atomic Postulates
      • Q13. Bohr’s Triumph: Explaining The Rydberg Constant
      • Q14. H-Atom Wave Functions And Classical Correspondence
      • Q15. The Jovian Task: Building The Atoms
      • Q16. Feynman Diagrams
  • Nuclear Physics
    • —
      • N1. Why Are There No Electrons In The Nucleus?
      • N2. The Line Of Nuclear Stability Bends And Ends
      • N3. The “Miracle” Of Nuclear Stability
      • N4. Pauli Letter Proposing What Came To Be Called The Neutrino
    • —
      • N5. Early History Of Radioactivity And Transmutation
      • N6. Bohr-Wheeler Theory Of Fission
      • N7. Sun’s Proton-Proton Cycle
  • General, Historical, Philosophical
    • —
      • G1. Faith In Simplicity As A Driver Of Science
      • G2. Science: Creation Vs. Discovery
      • G3. Is There A Scientific Method?
      • G4. What Is A Theory?
      • G5. The “Great Theories” Of Physics
      • G6. Natural Units, Dimensionless Physics
      • G7. Three Kinds Of Probability
      • G8. The Forces Of Nature
      • G9. Laws That Permit, Laws That Prohibit
    • —
      • G10. Conservation Laws, Absolute And Partial
      • G11. Math As A Tool And A Toy
      • G12. The “System Of The World”: How The Heavens Drove Mechanics
      • G13. The Astromical World, Then And Now
      • G14. Superposition
      • G15. Physics At The End Of The Nineteenth Century: The Seeds Of Rel & QM
      • G16. The Submicroscopic Frontier: Reductionism
      • G17. Submicroscopic Chaos
      • G18. The Future Path Of Science
  • Supplemental
    • Rainbows: Figuring Their Angles
  • Index

G16. The Submicroscopic Frontier: Reductionism

Based on Basic Physics Feature 8

“More is different.” So said the Nobel Laureate physicist Philip Anderson,1 a pioneer in what was once called solid-state physics and is now called condensed-matter physics. His phraseology was no doubt inspired by the even more famous saying of Ludwig Mies van der Rohe, “Less is more.” Van der Rohe was arguing for simplicity in art and architecture. Anderson was making the point that if you assemble a few gazillion atoms or molecules, you get a physical system whose study requires new concepts not needed for the study of individual atoms or molecules. These concepts—temperature and pressure, for instance, or entropy—are said to “emerge.” The idea is even more evident in organic chemistry and biology, where new concepts and new strategies are needed.

Nevertheless, most physicists are (probably) “reductionists.” This means that they believe that all that happens in the large-scale world—even the very large-scale world of the entire universe—can ultimately be explained by what is going on in the submicroscopic world. We understand the “emergent” concept of temperature, for instance, to be a manifestation of the kinetic energy of submicroscopic bits of matter. We understand that the flood of light and energy from the Sun results from the interactions of atomic nuclei (mainly protons) at the Sun’s center. We understand energy to be conserved in the cosmos because it is conserved in individual interactions of fundamental particles.

This point of view suggests that basic aspects of the submicroscopic world can usefully be taught in introductory physics course—even taught at the beginning of a course. There are two reasons to consider doing so. First, beginning students may find that electrons, photons, and neutrinos are more exciting than are pendulums, inclined planes, and falling objects. Second, and in some ways more important, the basics of particle physics are actually simpler than the basics of classical mechanics. This may seem like an odd statement to the average teacher, who, in his or her own studies, probably reached modern physics only after trudging through classical mechanics. But consider, say, teaching about charge conservation vs. teaching about Newton’s second law. Or discussing the spin and orbital angular momentum of an electron vs. discussing the angular momentum of rigid bodies. For me, at least, in my own classroom, this port of entry to physics seemed to work. To sum it up in a motto: Smaller is greater.

There is about the fundamental particles the paradoxical fact that, although their discovery rested upon all the earlier developments of science, they are themselves rather easily visualizable, and some of their main properties can be understood with no scientific background at all. We can think of a golf ball or a marble, and, extrapolating downward many orders of magnitude, picture a fundamental particle as a tiny speck of matter, a basic building block of the universe.

Not just physicists, but also chemists and biologists, are microscopically oriented. They picture the large-scale world as put together from smaller and smaller units, down to the fundamental particles of physics and perhaps, one day, to a still deeper unit. In short, they are reductionists. If Aristotelian physics was a science of final causes, modern physics is a science of microscopic causes. “Explanation” in physical science is, as often as not, the description of something larger in terms of something smaller. To look at the fundamental particles in an introductory physics class is to examine the basis of physical science as well as one of its frontiers.

To the scientist, the fundamental particles provide the greatest challenge in modern physics. To the student they provide important insight into the scientist’s view of the world. It is well to recall that the most familiar points of impact of physical science on humankind—our satellite communications, our detergents, our bombs, our mobile phones—form only a sideline off the mainstream of scientific advance. The true frontiers of science lie far more remote from everyday life, and one of these is the submicroscopic frontier inhabited by the particles. An open question: Will the particles one day give way and allow the frontier to be extended to a still smaller domain?


1 At age 88, Anderson gathered his thoughts and recollections together in an essay collection, More and Different: Notes from a Thoughtful Curmudgeon (World Scientific, 2012).


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