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Ghez, Andrea, 7

Gibbs, Josiah Willard, 185

Goodstein, David L., 172

Gravitation (Misner, Thorne, Wheeler), 22, 147

gravitational collapse, see collapse of stars

‘Gravitational Collapse and Space-Time Singularities’ (Penrose), 16, 152

gravitational wave, 7, 151, 156

gravity, 1–5, 23, 40–41, 70–71

as emergent from quantum theory, 191, 236, 245, 261

as geometry, 41, 46, 72, 79, 81

great circle, 59–60, 76

greedy geodesic, 260–61

Gullstrand, Allvar, 107

Hafele–Keating experiment, 24, 27–8

Hafele, Joseph, 24

Hamilton, Andrew, 107

happiest thought, Einstein’s, 70, 78

HaPPY code, 259–61

Hardy, Lucien, 212

Harlow, Daniel, 258–9

Hawking radiation, 17–18, 187, 191–5

entanglement with black hole, 218–25, 229–32, 246–51

information content, 17–19, 220–5, 253

Hawking temperature, 17, 186–90, 195–6

Hawking, Stephen

1971 work, 148

1973 work, 2, 187–90

1974 work, 16–18, 186, 190, 201

1975 work, 22, 190, 194, 234

area theorem, 148, 188–9

bets, 18–19, 144, 238

on time travel, 141

Hayden, Patrick, 229

heat, 165–70

Heisenberg Uncertainty Principle, 12, 191–2

Heisenberg, Werner, 12

Hewish, Antony, 4

higher-dimensional spaces, 41–4, 119–22, 234–5

Hollowood, Tim, 246–7

hologram, 232

holographic principle, 182, 227, 232–8

horizon, 69

event, 1–2, 9, 11

inner and outer, 132, 135–6, 148

Rindler, 69, 114, 231

hyperspace, 119

inertial reference frame, 27, 55

infinity on Penrose diagrams, 46–74

future lightlike, ℑ⁺, 53, 73–4

future timelike, i ⁺, 56–7, 73–4

past lightlike, ℑ⁻, 53, 73–4

past timelike, i ⁻, 56–7, 73–4

spacelike, i ⁰, 56, 73–4

information

and area, 179–82, 189, 232–3

and entanglement, 20, 217–19, 224

and reality, 18, 20, 255, 262

apparent absence in Hawking radiation, 17–18, 202

emergence in Hawking radiation, 18–19, 220–25, 253

encoding, 20, 226, 231–3, 254–61

information paradox, 17–19, 201–8

and entanglement, 218–20

and holography, 237–8

and quantum wormholes, 251–3

Page curve vs. Hawking curve, 224–7

information theory, 177–9

iNSPIRE database, 234

Internal Constitution of Stars, The (Eddington), 12

International Space Station, 41, 70

Interstellar (film), 97

interval (spacetime), 27–9, 32–40, 43

as fundamental, 29, 37

as invariant, 28–9, 37–40, 54

in curved spacetimes, 77–8

Schwarzschild, 83–6

three sorts, 33

invariant quantity, 29

island, quantum extremal, 248–53

Jenkinson, Ross, 97

jiggling, 167, 171, 191

quantum, 5, 12–14

Joule, James Prescott, 165–7

Keating, Richard, 24

Kelvin, Lord, 166

Kerr black hole, 131–48, 189

Kerr solution, 131–3, 149–51

Kerr wonderland, 139–42

Kerr, Roy, 131, 149

Knight, Nick, 25–8

Kruskal–Szekeres coordinates, 115, 117–18

Kruskal, Martin, 117

Kumar, S. Prem, 246

Kwiat, Paul, 212

Landau, Lev, 13

Laplace, Pierre-Simon, 9–10

Large Hadron Collider, 25, 234

‘Large N Limit of Superconformal Field Theories …, the’ (Maldacena), 234

Large Scale Structure of Space-Time, The (Hawking, Ellis), 2

Laws of Thermodynamics, The (Atkins), 168

Legramandi, Andrea, 246

Lemaître, Georges, 5, 107

light cone, 31, 34–40, 45

Kerr, 134–5

on Penrose diagrams, 51–2, 74

Schwarzschild, 89–93

lightlike separation of events, 34

LIGO, gravitational wave detector, 7

Lisle, Jason, 107

‘Little Green Men-1’, 4

M87 galaxy, 5–6, 93–7, 103

Mach, Ernst, 185

Maldacena, Juan, 233–40, 245–6

Marolf, Donald, 228

mathematics, ‘The miracle of the appropriateness of …’, 20

Mathur, Samir, 226

matter, rigidity of, 4

maximal entanglement, 223, 242, 259

maximal spacetime, 117

Kerr, 138–42

Schwarzschild, 115–18, 122–30

Maxwell, James Clerk, 25, 171

Maxwell’s equations, 25–6

Mercator projection, 48–54, 59–60

metric, 81–3

Earth, 96

Schwarzschild, 83–4, 128

visual analogy, 120, 235

Michell, John, 9–10

Milky Way, 1

minimal surface, 244

Minkowski spacetime, 49–51, 67, 157–8

Minkowski, Herman, 49–51

Misner, Thorne, Wheeler, Gravitation, 22, 147

Modern Classical Physics (Thorne, Blandford), 29

monogamy of entanglement, 230

Montreal Biosphere, 76–7

Morris, Michael, 129

naked singularity, 142–5, 156, 161

neutrinos, 14

neutron degeneracy pressure, 13

neutron star, 4–5, 7–8, 14

density, 11

escape velocity, 9

mass limit, 5, 14

neutrons, 5, 14

Newton, Isaac

absolute space, time and motion, 23

theory of gravity, 23, 157

Newtonian argument for a black hole, 10

no-cloning theorem, 227

Nobel Prizes, 7, 14, 16, 107, 166–7, 203

Noether, Amalie Emmy, 146

non-Euclidean geometry, 44, 67, 76–7, 119, 235

nuclear fusion, thermonuclear, 3, 12, 15

number of arrangements, 171–8, 221–2

Nurse, Paul, 166

‘On Dense Matter’ (Fowler), 12

Oppenheimer, J. Robert, 14–15, 151

order of events, 37–40

Page curve, 223–5, 228–30, 246–51

Page time, 223–4

Page, Don, 22, 220, 225

Painlevé, Paul, 107

Paley, William, 19–20

paradox, 208

crossing event horizon, 11, 15

information, 17–19, 201–8, 218–53

time machine, 140–41

twin, 64–6, 79

particle accelerator, 25, 57

‘Particle Creation by Black Holes’ (Hawking), 22, 190, 194, 234

particles, 4, 12, 19–20, 191–2

Hawking, 16–17; see also Hawking radiation

virtual, 17, 193–4; see also vacuum fluctuations

Pastawski, Fernando, 259

Pauli Exclusion Principle, 12

Pauli, Wolfgang, 12

Penrose diagram, 45, 49–56

evaporating black hole, 203–5

exploring with immortal observers, 57–69, 94–105

Kerr black hole, 136–40, 142–3

real black hole formation, 157–61

Schwarzschild black hole, 91–5, 112–18

with two space dimensions, 72–74

Penrose process, 145–8, 195

Penrose–Hawking singularity theorem, 155–6

Penrose, Roger

on black hole formation, 7, 16, 152–5

on naked singularities, 142

Perrin, Jean Baptiste, 167

photons, 17, 179–80, 183, 212

as fish, 108–11, 133

energy–wavelength relation, 180

pixels, Planckian, 181

Planck length, 181, 184

Planck, Max, 184

Planckian pixels, 181

Podolsky, Boris, 245

Poincaré disk, 235, 255, 260–61

Polchinski, Joseph, 226, 228, 231

Preskill, John, 229, 259

bets, 19, 144, 238

Price, Richard H., 151

Principia Mathematica (Newton), 23, 157

Principle of Maximal Ageing, 66, 79–80

probability, quantum, 191–2, 211

protons, 14, 20, 25

pulsar, 4

Pythagoras’ theorem, 76–7, 80–82

quantum (mechanics/physics/theory), 12, 191–3, 210–18

book, 218, 224

computing, 20–21, 255–63

conformal field, 236, 240

entanglement, 20, 208–18, 254–5

entanglement entropy, 222–4, 242–51

error correction, 255–62

extremal surface (QES), 248–9