Fundamentals

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Fundamentals Page 20

by Frank Wilczek


  It is standard practice for experimenters to report how many quarks and gluons are produced in the reactions they study, how they are distributed in energy and angle, and so forth. What they’ve actually observed is the corresponding jets, but the identification, after thousands of successful applications, has become routine. Quarks and gluons entered the world as weird, suspect theoretical phantoms—confined particles that, according to theory, would never be observed in isolation. Tamed by beautiful ideas, they’ve become tangible realities— not mere particles, but jets.

  GEOMETRY OF SPACE AND DENSITY OF MATTER

  General relativity predicts a striking relationship between the average curvature of space, the average density of matter within it, and the rate of expansion of the universe. If the total density of matter is equal to a certain critical density, then space will be flat; if the density is larger, it will be positively curved, like a sphere; if the density is smaller, it will be negatively curved, like a saddle.

  At present, the critical density is about 10−29 grams per cubic centimeter. This is equivalent to the mass of about six hydrogen atoms per cubic meter. Though this critical density is far below the density of the best “ultra-high vacuum” people have achieved in laboratories on Earth, it seems that it is close to the average density of the universe as a whole.

  Astronomers can measure the shape of space geometrically, using sophisticated versions of the procedures we indicated in chapter 1. They can also measure the density, by adding up contributions from ordinary matter, dark matter, and dark energy. They find that space is very nearly flat, and that the density is very nearly the critical density. This is consistent with the prediction of general relativity. That consistency encourages us to think that the dark matter and dark energy mysteries can be understood within the framework of general relativity. Certainly, they do not require its modification.

  ABCDEFGHIJKLMNOPQRSTUVWXYZ

  Index

  The page numbers in this index refer to the printed version of this book. The link provided will take you to the beginning of that print page. You may need to scroll forward from that location to find the corresponding reference on your e-reader.

  abundance, xiv–xv, 13–15

  See also energy abundance; material abundance; spatial abundance; time

  acceleration, 16, 115, 116

  excess, explaining, 193–96

  Adams, John Couch, 194

  afterglows

  of the big bang, 152, 154–55, 157–59, 163, 200, 202

  of neutron star mergers, 182

  See also dark matter

  AHUMEN (Annual Human Energy), 127

  Allegory of the Cave, 168–69

  Almagest (Ptolemy), 6

  AlphaZero, 204

  analysis and synthesis method, 8

  angular momentum, 74, 75–76

  animals, perception in, 169–70, 171

  Annual Human Energy (AHUMEN), 127

  antineutrinos, 48, 118, 119, 151

  antiquarks, 114, 151

  anyons, 89–90

  Arovas, Dan, 89

  art, visual, 217

  artificial intelligence, 54, 58, 59, 70–71, 204, 220–22

  See also information flows and processing

  astronomy and cosmology, 128

  abundance and uniformity of matter in the cosmos, 21–22, 38, 149–51, 156, 161–62

  astronomical observation, 5–6, 21, 22

  astronomical timekeeping, 45

  cosmic horizon, 28–31

  Ptolemy’s synthesis, 6–7

  Ramsey on astronomy, 42

  and spectroscopy, 109

  surveying the cosmos, 21–28

  See also big bang theory; galaxies; planets; stars; universe; entries beginning with “cosmic”

  asymptotic freedom, 112, 123–24, 149, 203, 238, 239

  ATLAS detector, 176

  atomic clocks, 17, 18–19, 55–56, 68–69

  atomic nuclei

  components and properties of, 62, 79, 84, 85, 105, 109–10

  original formation of, 155, 163

  and weak force processes, 119

  See also QCD

  atomic spectra, 106–9

  atoms

  atomic models and complementarity, 214–15

  as building blocks of complexity, 130–32

  structure of, 35–37, 62, 78–79, 83, 103, 105–6

  viewed as basic building blocks, 61–62, 72, 96

  See also atomic nuclei

  Augustine, Saint, 44, 159, 219

  axions, 122, 159, 166, 201–2

  babies. See infant development

  Barish, Barry, 180

  bats, 170

  bees, 171

  big bang theory, 29, 146, 148–55

  afterglows of the big bang, 152, 154–55, 157–59, 163, 200, 202

  assumptions and principles of, 148–52, 163

  and dark matter/dark energy, 199–201

  evidence for, 29, 152–55, 157

  potential recreation of the big bang, 166

  when the big bang occurred, 30, 37, 47, 157

  black holes, 149–50, 180, 182

  Blake, William, xviii, 169

  Bohr, Niels, 108, 207–8, 210, 211, 212

  bonus particles, 77, 119, 191, 236–37

  Borges, Jorge Luis, 166, 167

  bosons, 174, 234–35

  Brahe, Tycho, 7

  brain processes, speeds and complexity of, 52–54, 58–60, 134–35, 138

  See also human cognition; perception

  carbon dating, 48–51

  cellular biology and processes, 90–91

  Cepheid variables, 27

  change

  fundamental laws as descriptions of, 63, 65, 122–25

  and time, 46–47

  change, particles of, 77, 234–36

  charge, 73, 74, 77, 233–34

  of atoms, 79

  of specific particle types, 78, 81, 85, 235, 237

  See also color charge; electric charge

  chemistry and chemical processes

  cellular biology and processes, 90–91

  chemistry of material that emerged from the big bang, 155

  femtochemistry and the speed of biochemical processes, 52, 54, 56–57, 59

  and the fundamental laws, 120–21

  imaging through x-ray diffraction patterns, 33–34

  molecular complexity, 130–35

  and radioactive dating, 48, 50

  and spectroscopy, 109

  See also atoms; molecules and molecular processes

  chess, 204, 220

  chi, 114

  classical mechanics, 8

  the dark matter problem, 194–96

  as framework for later investigations, 94–96, 193–94

  and GPS, 18, 19

  Newtonian theory of gravity, 66–67, 94, 95, 114–15, 116, 117

  See also motion; planetary motion and arrangements

  Clay Foundation, 204

  climate change, 140–41

  clocks, 17, 18–19, 44, 47, 55–56, 68–69

  CMB. See cosmic microwave background

  cognitive processes, 52–54, 58–60

  color charge, 84, 122–23, 234

  of specific particle types, 78, 84, 85, 235, 237

  color vision, 170–71

  combinatorial explosion, 131–32

  commutation relations. See quantum conditions

  complementarity, 206–22

  basic principles of, 206, 218–19

  between human comprehensibility and accurate understanding, 220–21

  between humility and self-respect, 221–22

  and levels of description, 213–16


  as mind expanding, 206–7, 218–19

  in music and art, 216–17

  quantum complementarity, 208–13

  in science, 207–16

  complexity, 160–67

  dynamic complexity, 129–36

  factors in the emergence of, 161–66

  within simplicity, 160, 166–67, 189

  computer games, 70–71

  computer processes. See artificial intelligence; information flows and processing

  construction, particles of, 77, 78–86

  See also electrons; gluons; gravitons; photons; quarks

  Copernicus, Nicolaus, 6

  Core concept, 121–25

  cosmic background radiation, 152, 154–55, 157, 162, 163, 200–201

  cosmic distances, 42, 43

  cosmic horizon, 28–31, 37–38

  measuring, 23–28, 30–31, 198–99

  cosmic energy abundance, 126–28

  See also energy abundance

  cosmic history, 145–59

  and the cosmic horizon, 37–38

  future investigations of, 156–59

  inflation concept, 156–57, 162, 189

  role of dark matter and dark energy, 199–200

  scope and limits of, 146–48

  See also big bang theory

  cosmic microwave background (CMB), 154–55, 157, 162, 163, 200–201

  cosmic rays, 236

  cosmic strings, 166

  cosmological constant (Einstein), 195, 197–98, 200

  cosmology. See astronomy and cosmology; big bang theory; universe; entries beginning with “cosmic”

  Coulomb’s law, 95, 105

  Crick, Francis, 34, 225–26

  Cronin, James, 190–91

  Cubists, 217

  Cummings, Ray, 44

  dark energy, 188, 193, 195–96, 197–201

  dark matter, 158–59, 166, 188, 193–97, 199–201, 237, 241

  decay processes

  and atomic spectra, 107

  neutron decay, 118–19, 135

  proton decay, 123, 166

  radioactive dating, 47–51

  Democritus, 72–73, 77

  dendrochronology, 50

  digital photography, 138

  digital processes. See artificial intelligence; information flows and processing

  Dirac, Paul, 100, 119–20, 122, 184

  disequilibrium. See instability/disequilibrium

  distances and distance measurement

  cosmic horizon, 28–31, 37–38

  distance and the strengths of the fundamental forces, 112, 123–24

  measuring cosmic distances, 23–28, 30–31, 198–99

  quantum distance fluctuations, 40

  subatomic and interatomic distances, 33, 39–40, 56

  and time, 20, 30

  See also asymptotic freedom; size and scale

  DNA and DNA sequences, 34, 131–32

  dogs, 169

  Doppler effect, 28

  Dragon’s Egg (Forward), 59

  dynamic complexity, 129–36

  and combinatorial explosion, 131–32

  examples of, 129–30

  of human brain processes, 134–35, 138

  nonchemical platforms for, 137–39

  and provisional stability, 132–34

  solar energy as fuel for, 127–28, 133–34, 135–36, 163

  Dyson spheres, 127, 165

  Earth

  age of, 50–51, 52

  and the cosmic distance ladder, 23–24, 25

  size of, 23, 24

  surface temperature of, 133–34, 140–41

  economic growth. See human activities and purposes

  Einstein, Albert, 44, 210

  Bohr-Einstein debates, 212

  on Bohr’s work, 108, 208

  on human exceptionalism, 226–27, 228

  light-quanta hypothesis, 82–83, 99, 100–101, 107

  on scientific understanding, xii

  on simplicity, 148

  and unified field theory, 123–24

  views on complementarity, 211–12

  See also general relativity; special relativity

  electric charge, 84, 95, 233–34

  of atomic nuclei, 79

  of holes, 87–88

  of specific particle types, 78, 81–82, 84, 85, 112, 235, 237

  electric force and field, 95, 99–100, 105

  electromagnetic force and field, 84, 95–102, 103, 233

  Maxwell’s equations, 97–98, 99–100, 178, 189, 234

  and time reversal, 189

  See also QED

  electromagnetic waves, 178–79

  electrons

  and atomic structure, 62, 78–79, 83, 105–7, 108–9

  behavior and properties of, 75, 78–82, 84, 101–2

  in digital processes, 54, 59, 138–39

  as products of decay processes, 48, 49, 118, 119

  and quasiparticles, 87, 89

  elementary particles

  axions, 122, 159, 166, 201–2

  basic influences of the fundamental forces on, 103–4, 121–22

  bonus particles, 77, 119, 191, 236–37

  dark matter constituents, 200, 201–2

  designer particles and smart materials, 87–92

  Higgs particle, 57, 175–78, 234–35, 236

  particles of change, 77, 234–36

  particles of construction, 77, 78–86

  properties of, 72–76, 77, 231–34

  See also specific particle types

  Eliot, T. S., 53–54

  emergent properties, 214–15

  empathy, and scientific understanding, 227–28

  End of Science, 216

  energy

  dark energy, 188, 193, 195–96, 197–201

  and the existence of fields, 97

  human energy use and sources, 126–27, 140–41, 165–66

  and inertia and gravity, 117, 232

  latent energy, 113, 166

  and mass, 85, 113–14, 115, 117, 231, 232

  powering of stars, 113, 135–36, 163, 165, 166, 235

  related properties of quasiparticles, 90

  energy abundance, xiv, 126–30, 136, 165–66

  energy loss, 111, 113, 135–36

  equilibrium/disequilibrium

  gravitational instability, 149–51, 156, 161–62, 164, 189

  thermal equilibrium, 151, 163

  See also provisional stability

  Euclid, 39

  Euclidean geometry, 15–21, 39, 40

  geometry of space, 38, 151, 156–57, 240–41

  space-time as geometric object, 116, 151, 156

  Faraday, Michael, xiii, 95–96, 97, 98–99, 178

  femtochemistry, 56–57, 59

  Feynman, Richard, xiv, 61–62, 184

  fields, 67, 95–102

  nineteenth-century work on, 95–99, 105, 178

  quantum fields, 99–102

  See also specific field types

  Fitch, Val, 190–91, 203

  forces. See fundamental forces; specific forces

  Forward, Robert, 59

  fossil fuels, 140

  FQHE (fractional quantum Hall effect), 89

  Franklin, Benjamin, 81–82

  Franklin, Rosalind, 34

  free will, 217, 218

  Freund, Peter, 75–76

  fundamental forces, 102, 103–5, 120–21

  Core concept and unified field theory, 121–25

  and dynamic complexity, 136

  See also specific forces

  fundamental laws

  and co
mplementarity, 213–14, 216

  Core concept, 121–25

  envisioning universes in which they do not hold, 70–72

  as foundation of practical physics, 119–22

  vs. human laws, 93–94

  locality principle, 63–64, 65, 66–67, 68–69, 96, 102, 191

  Newton’s work, 8, 66–67

  principles of, 63–66

  spectroscopy’s confirmation of, 109

  and time reversal, 148–49, 188–92

  universality of, 21, 38–39, 63, 65

  See also classical mechanics; specific laws

  fundamental properties of matter, 72–77, 86, 231–34

  See also charge; mass; spin

  galaxies

  galactic motion as evidence of the universe’s expansion, 28–31, 145–46, 149–50, 153–54, 165

  gravitational lensing of light from, 196–97

  properties and distribution of, 22, 27, 30, 150, 196

  Galilei, Galileo, xiii, 7, 8, 55

  Galois, Évariste, 52

  gamma rays, 83, 98, 182

  Gauss, Carl Friedrich, 16, 21

  GDP, 3

  Geiger, Hans, 35–37, 56

  Gell-Mann, Murray, 111

  general laws. See fundamental laws

  general relativity, 20, 57, 86, 195

  basic principles of, 115–17

  and the character of space, 39–40, 57, 116–17, 240–41

  cosmological constant, 195, 197–98, 200

  and gravitational lensing, 197

  and Mercury’s motion, 195

  See also gravitational waves; gravity

  genetic engineering, 222

  geometry. See Euclidean geometry

  Global Positioning System (GPS), 16–19

  gluons, 62, 121, 151

  behavior and properties of, 78, 83–84, 85, 114, 238, 239

  and color charge, 84, 234

  jets as avatars of, 238–40

  Go, 220

  GPS (Global Positioning System), 16–19

  gravitational wave detectors, 21

  gravitational waves, 178–82

  gravitons, 85–86, 157–58

  gravity, 114–17

  and complexity, 136, 161–62

  as fundamental force, 103

  gravitational instability, 149–51, 156, 161–62, 164, 189

  gravitational lensing, 196–97

  Newtonian theory of, 66–67, 94, 95, 114–15, 116, 117

  and the origins of the universe, 149–51, 152, 153, 156, 200

 

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