The Universe Within

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The Universe Within Page 24

by Neil Turok


  Moore’s law, 170, 217, 223, 237

  motion, Newton’s laws of, 26–31, 33, 47, 62–63, 101, 113, 114

  M-theory, 99, 146–49, 193–94

  “multiverse,” 194–95, 208, 256

  Murdoch, William, 213

  music, 230, 249, 252; in academic curriculum, 10; in ancient world, 9, 159; digital creation/reproduction of, 68; in mass media age, 225; mathematics and, 9, 19, 75

  Nabta Playa (Egypt), ancient stone calendar circle at, 8

  NASA (National Aeronautics and Space Administration): Apollo program of, 22, 23, 129; COBE satellite of, 130–36

  Nature (journal), 124

  Navy, U.S.: Bureau of Ordnance, 126

  Newton, Sir Isaac, 9, 21, 23–31, 77, 80, 97, 101–2, 111, 177, 197, 205, 212; and concept of classical universe, 20, 25–26, 30, 48, 56–95, 112, 118–19, 206, 210; and electromagnetic theory, 33, 40–41, 43, 47; and invention of calculus, 26, 43, 101; and law of gravitation, 23, 25–26, 27–28, 30, 33, 40, 47, 101, 116–19, 172; and laws of motion, 26–31, 33, 47, 62–63, 101, 113, 114; library of, 223; Mathematical Principles of Natural Philosophy [Principia], 30

  Ngorongoro Crater (Tanzania), 7

  Nietzsche, Friedrich, 154

  Nobel Prize in physics, 58, 137, 157, 214, 216–17, 247

  Noether, Emmy, 176–81, 199; Einstein’s tribute to, 180–81; teaching career of, 178–79, 180; and theorem of conserved quantities, 176–78, 179–80

  notation, scientific: and Dirac’s “bra-ket,” 181; of formula for all known physics, 167–76; use of Greek in, 167, 168, 173, 174

  nuclear bomb, 10, 116, 125–26

  Nyerere, Julius Kambarage, 22

  Ohm, Georg, 44

  Olduvai Gorge (Tanzania), 7

  “Omega Point” (Teilhard de Chardin), 229

  Oxford University, 31, 161

  Page, Larry, 166

  Paris-Sud XI, Université (Orsay, France), 161

  Parmenides of Elea, 52, 152–53

  particle physics, 46, 58, 91, 148, 171–76; Bell’s Theorem and, 83–91, 233–34; Dirac’s equation and, 92, 172–73, 174, 175–76, 182–83, 196, 199; Higgs field and, 107, 110, 171, 173, 174–75, 178, 188, 189; Maxwell–Yang–Mills force field theories of, 42–46, 80, 172, 174, 199; Schrödinger’s wave equation and, 57, 76–77, 168–71, 186; wave-particle duality and, 78–80; Yukawa–Kobayashi–Maskawa matter particle mass term and, 173

  Pauli, Wolfgang, 59, 82; exclusion principle of, 59; spin theory of, 59, 84

  Peebles, James, 130, 133

  Penzias, Arno, 128, 129–30, 131, 133

  Perimeter Institute for Theoretical Physics (Waterloo, Ont.), 251

  Perlmutter, Saul, 137

  photoelectric effect (Einstein), 58, 69

  photons, 58, 61–72, 103, 148; and double-slit experiment, 78–79, 93; as force-carrier particles, 175

  physics: development of, 195–97, 255–57; Galileo and, 20–21; and information age, 209–39; mathematics and, 19–21; new applications of, 195; Newton’s work in, 23–31, 33, 223; one-line formula of, 167–201; public outreach and, 251–52; and quantum theory, 91–95. See also classical physics/universe; formula for all known physics; particle physics; quantum theory

  pi (π), 18–19

  Planck, Max, 48; and development of quantum theory, 48, 58, 61–72, 128, 131–32, 183, 196, 210; Einstein’s confirmation of work by, 64–70, 72; photon theory of, 58, 61–62, 78–79; and “ultraviolet catastrophe,” 68–69, 196; units invented by, 265n7. See also photons

  Planck length, 108, 190, 256, 265n7

  Planck satellite, 151–52, 205, 236, 237

  Planck’s constant (h), 61–64, 84, 94, 265n7; and Feynman’s formulation, 92, 171; and Hamilton’s action principle, 62–64, 71

  Planck spectrum, 62, 64, 128, 131–32

  Plato, 52, 152

  Podolsky, Boris. See Einstein–Podolsky–Rosen critique of quantum theory

  Poe, Edgar Allan: “Eureka,” 154

  Politzer, H. David, 172, 188

  positron, 92, 173, 182

  Princeton University, 130–31, 146

  Project Glass (Google), 237

  Prometheus, 37, 240, 242

  Ptolemy, and concept of universe, 20, 25

  pyramids, Egyptian, 8

  Pythagoras, 8–9, 52, 53, 74, 205

  Pythagoreans, 8–9, 167

  Pythagorean theorem, 8, 77, 168–69

  quantization rule: and Bohr’s application to atomic structure, 58, 70–72, 76, 124; Einstein’s confirmation of, 64–70, 101; Planck’s development of, 58, 61–64, 128, 131

  quantum computers, 69, 91, 191, 201, 218–25, 233; applications of, 223–25; vs classical computers, 218–19, 220–22, 224; how they work, 221–22; and humans, 238–39; prime-number factoring by, 220, 222, 224

  quantum electrodynamics (QED), 92, 183, 188

  quantum theory, 91–95; beginnings/pioneers of, 56–60, 195; and Bell’s Theorem, 83–91, 234; and classical physics, 48, 56–95, 115–16, 168, 171, 179–80, 183–85, 196, 206, 210, 234–35, 256; and “double-slit experiment,” 78–80, 93; Einstein–Podolsky–Rosen critique of, 81–82, 83–91, 233–34; Einstein’s initial unease over, 70, 77, 80–81, 91; Einstein’s work in confirming, 64–70, 72; Feynman’s formulation of, 92–93, 169–70, 171, 179, 183–84, 196; later triumphs of, 91–92; and matrix mechanics, 56–57, 58, 72, 75–78; Maxwell’s theory and, 46, 48, 61, 92, 101–2; Planck’s development of, 58, 61–72; technological implications/applications of, 206, 214–35; and wave equation, 57, 76–77, 168–71. See also individual scientists and theories

  qubits (quantum bits), 221–23, 233, 238, 268n8

  radiation, cosmic microwave: detection of, 128–30, 131, 133, 214; as predicted by Gamow’s team, 127–28; satellite mapping of, 151–52; satellite measurement of, 130–32; spectrum of, 128, 131–32

  radioactivity, 58, 70, 81, 91, 126, 172

  radio waves, 33, 47, 78, 111, 209

  Raphael: The School of Athens, 51–52, 56; The Transfiguration, 242–43

  Reich, Henry, 252

  Reiss, Adam, 137

  relativity, Einstein’s theories of. See theory of general relativity; theory of special relativity

  Riemann, Bernhard, 118

  Renaissance Italy, science/mathematics in, 16–17, 55, 73–74, 100–1, 205, 253; art and, 16, 17, 51–52, 56; cosmology and, 18, 20–21, 25, 28–29, 100–1, 205. See also Galileo

  Roger, Gérard, 90

  Roman Catholic Church, 21, 31, 100

  Rosen, Nathan. See Einstein–Podolsky–Rosen critique of quantum theory

  Royal Institution (London), 36–37, 42, 251

  Royal Society (London): Davy’s lecture at, 240–41

  Royal Society of Edinburgh, 34

  Rubens, Heinrich, 64

  Rubin, Vera, 134

  Rutherford, Ernest, 70–71, 126

  Sagan, Carl: Contact (novel), 156–57; Cosmos (television series), 157

  Salam, Abdus, 172, 174, 188

  satellites: COBE, 130–36; Echo 1, 128, 129; Planck, 151–52, 205, 236, 237; Telstar, 128–29

  Saturn, 36

  Scherk, Joël, 193

  Schmidt, Brian, 137

  Schrödinger, Erwin, 57, 58; wave equation of, 57, 76–77, 168–71, 186; wavefunction of, 76–77, 83, 92–93, 168–71, 183–84. See also wavefunction

  Schwarz, John, 193

  Schwinger, Julian, 92, 183

  science: and church, 13, 21, 100, 159; education in, 5, 156–67, 203, 211–12, 255; and future of world, 202–57; gentleman hobbyists and, 33; and need for connection with society/humanity, 9–15, 49–50, 99–100, 205, 245–57; public outreach by, 37, 251–52; Shelley’s cautionary tales of, 37, 239–46; and treatment of Jewish scholars, 59–60, 178, 180, 199. See also education,
scientific

  Scientific American (magazine), 184

  scientific method, 20, 253

  Scott, Sir Walter, 213

  Scottish Enlightenment, 11, 31–33, 97, 211, 213, 253–54; legacy of, 33–35

  semiconductors, 215–17, 218, 234

  Serengeti, 7

  Shaw, George Bernard, 118–19

  Shelley, Mary, 240; Frankenstein; or, The Modern Prometheus, 37, 240–42, 245; The Last Man, 242–46

  Shelley, Percy Bysshe, 240, 242, 243, 244

  Shockley, William, 215–17

  Shor, Peter, 220, 222, 224

  Silverstein, Eva, 152

  singularity, at moment of big bang, 95, 122–25, 127, 139, 142–50, 200, 207–9, 256; cyclic universe theory and, 149–52; Einstein and, 97, 122–23; Friedmann’s work on, 122–23, 127; Hartle–Hawking proposal on, 97, 142–45, 146, 149; Lemaître’s work on, 123–25, 127, 143; M-theory and, 146–49; string theory and, 148, 191–95, 208

  smartphones, 167, 203, 217, 223, 225–26, 237

  Smith, Adam, 31

  Smoot, George, 133–34, 135

  Snow, C. P., 10

  social media, 203, 204, 230

  Socrates, 52

  Solvay Conference. See Fifth Solvay International Conference on Electrons and Photons

  South Africa: AIMS centre in, 160–67; apartheid in, 1–3, 21–22, 157–58, 160; and Square Kilometre Array, 166–67

  South African Mathematical Society, 163

  “spacetime,” 113, 124, 151, 177, 195, 210; Hartle–Hawking proposal and, 144, 149, 153; and theory of general relativity, 117–18, 120, 172, 184, 190; and theory of special relativity, 94, 113

  special relativity. See theory of special relativity

  spin, of electron, 59, 169, 175–76, 182, 191, 233–34; Bell’s Theorem of, 83–91, 233–34

  Square Kilometre Array (SKA), 166–67

  St. Andrews, University of, 31

  Stanford University, 152, 235

  Steinhardt, Paul, 106, 146

  Stevenson, Robert, 32

  Störmer, Horst, 234

  string theory, 180, 191–95, 196; and big bang singularity, 148, 191–95, 208; discovery/development of, 192–93; and M-theory, 148, 193–94; and “multiverse,” 194–95, 208; problems of, 194–95, 207–8

  “sum over histories” (Feynman), 92–93, 169–70, 171, 179, 183–84, 196; Dirac’s role in, 92, 183–84

  Supernova Cosmology Project, 137

  supernovae, 103, 127, 137, 200

  superunification, 157, 167, 199–200

  symmetry: between forces and matter particles, 185–86; Noether’s theorem and, 176–78; of space and time, 47

  Tait, Peter Guthrie, 34–35, 213; and Treatise on Natural Philosophy, 35

  Tanzania, 7; author’s childhood/education in, 2, 22, 97–98

  TED (Technology, Entertainment, and Design) Conferences, 164, 165

  Teilhard de Chardin, Pierre, 227–30; The Phenomenon of Man, 228–30

  telephone, 33, 212, 215; Bell’s invention of, 35, 213. See also cellphones; smartphones

  telescopes, 5, 20, 47, 235; Hubble, 119; of Planck satellite, 205

  telescopes, radio, 119, 156; and detection of background radiation, 129–30; in South Africa, 166–67

  Telford, Thomas, 213

  Teller, Edward, 126

  Telstar (satellite), 128–29

  “Telstar” (song), 129

  Thales, 53

  Theodorus, 55

  theoria (theory), 100

  theory of general relativity (Einstein’s equation/theory of gravitation), 116–22, 165, 193, 195; Born on, 119; and concept of curved space, 118–19, 147; and concept of expanding universe, 121–25, 133, 179; and cosmological term, 120–21, 122, 136–39; in formula for all known physics, 172, 174, 189–90, 196, 199

  theory of special relativity (Einstein), 47, 94, 110–13, 138; and Lorentz transformation/contraction, 112–13, 138–39; and mass-energy equivalence, 113–16; Maxwell and, 47, 101–2, 110–11, 112; and space travel, 138–39

  thermal equilibrium, 65–68, 94

  Thomson, Joseph John (J. J.), 212

  Thomson, William. See Kelvin, Lord (William Thomson)

  Tomonaga, Sin-Itiro, 92, 183

  transistor(s), 92, 129, 195; development of, 215–17, 218, 235; and Moore’s law, 217

  Trinity College (Cambridge), 24, 35, 223. See also Cambridge University

  The Truman Show (film), 83

  Tsui, Dan, 234

  Turner, Michael, 106

  “ultraviolet catastrophe,” 68–69, 71, 196, 210, 256

  uncertainty principle (Heisenberg), 57, 77–78, 109, 217–19

  universities: Jewish scholars and, 59–60, 178, 199; medieval, 9–10; of Scottish Enlightenment, 32, 34; women and, 178–81. See also education, scientific; specific universities by location

  Uraniborg (Danish observatory), 25

  U.S. Space Objects Registry, 129

  vacuum energy, 136–38; dominance of, 95, 138, 154–55, 207; and Einstein’s cosmological term, 136–37; and Higgs potential energy/Higgs boson, 175, 190, 255–56; string theory and, 208; theory of inflation and, 140, 144, 146–47, 170, 179

  vacuum tubes, 212–13, 215

  velocity: of electrons/particles, 76, 77–78, 82, 218; of light, 45; Newton’s laws and, 26–29, 30, 57

  Veltman, Martinus, 172

  Veneziano, Gabriele, 192

  “The Very Early Universe” (Cambridge workshop), 106, 136

  Vilenkin, Alexander, 142, 143

  Volta, Alessandro, 241

  von Klitzing, Klaus, 234

  von Neumann, John, 10

  Voyager space probe, 36

  Watt, James, 32, 213

  wave equation (Schrödinger), 57, 76–77, 168–71, 186

  wavefunction (Ψ) (Schrödinger): and Hamilton’s action principle, 92–93, 169–70, 171, 183–84; and number i, 168; as “pilot wave,” 83; and probability, 76–77, 93, 168–71

  wave-particle duality, 78–80

  wave theories. See electromagnetic waves; electromagnetism; wavefunction

  Weinberg, Steven: and electroweak theory, 172, 174, 188; The First Three Minutes, 247–48

  Weyl, Hermann, 178, 180

  Wheeler, John Archibald, 96, 117, 185

  Wikipedia, 203

  Wilczek, Frank, 106, 172, 188

  Wilkinson, David, 131, 132, 133

  Wilson, Robert, 128, 129–30, 131, 133

  Wollstonecraft, Mary, 240; A Vindication of the Rights of Women, 240

  World Wide Web, 5. See also internet

  Wren Library (Trinity College, Cambridge), 223

  X-rays, 47, 111, 119, 195

  Yang, Chen-Ning, 172; and Yang–Mills theory, 172, 174

  Yukawa, Hideki, 173

  Zeno, 153

  Zu Chongzhi, 18

  Zwicky, Fritz, 134

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