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Book Review: The Trouble with Physics by Lee Smolin

June 23rd, 2008 · No Comments · Book Reviews

The Trouble With Physics: The Rise of String Theory, the Fall of a Science, and What Comes Next
My Goodreads Review
rating: 4 of 5 stars

Review
It is obvious that Lee Smolin cares deeply and sincerely about the future of his field of physics. I read this with the intent to get a balanced view of string theory (having already read Brian Greene’s gushing pro-string theory book ‘The Elegant Universe’) but got so much more. Smolin’s book offers a deeper look at scientific history, culture, and philosophy as well.

I highly recommend this book to anyone who:

  • wants an overview of the current state of physics (problems, culture, focuses, experiments, and more)
  • is a scientist or physicist
  • is considering becoming a scientist or physicist

Note: The notes below were taken as I was reading and help me to synthesize ideas. They are likely quite dull to anyone else, but the following sections may be interesting: 5 Problems of Contemporary Physics, Unifications, Spontaneous Symmetry Breaking,

Book Notes

  • Styles of Physics
    • early 20th century: philosophical reflection on difficult fundamental problems (Einstein, Bohr, Heisenberg, Schrodinger)
    • mid 20th century: pragmatic, hard-nosed calculation (Feynman, Dyson)
  • Accident of Time: proposals without prospect for experimental proof were punishable by burning at stake! (note to string theorists)
  • 5 Problems of Contemporary Physics
    • Quantum Gravity
    • Foundations of Quantum Mechanics (observer-system inconsistency)
    • Unification of Forces and Particles (or disproval)
    • Explanation of How Constants of Standard Model of Particle Physics are Chosen
    • Dark Matter/Energy or Alt. Explanation for Modification of Gravity on Large Scales
  • Judging Genius
    • Kelvin (1900): “Physics is over, except for two clouds on the horizon”
    • two clouds = quantum mechanics and relativity
  • Elementary Particle Physics
    • 12 particles (6 quarks, 6 leptons) and 4 forces
    • Standard Model has ~20 arbitrary constants (referring to particle properties like mass and strength)
  • Dark Matter
    • evidence: mass of galaxy predicted by orbit speeds > combined masses of observed objects
    • either:
      • can’t see most matter (dark matter)
      • underestimation of mass of observed objects
      • overestimation of orbit speed
    • most matter under pressure, dark matter under tension (pulls universe together)
    • yet somehow, so negative a negative pressure that it accelerates cosmic expansion?
    • Universe: 70% dark energy and 26% dark matter (96% unknown matter!)
  • Unifications
    • highest goals of physics
      • show commonality (deep)
      • show differentiation (apparent)
    • come in groups: Ptolemy’s cosmology + Aristolian motion vs. Copernican cosmology + Bruno’s stars (based on complementary underlying principles)
    • Historical Unifications:
      • sun and stars (Giordano Bruno burned alive by the Catholic Church for this!)
      • electricity and magnetism
      • motion and rest (Galileo, Ptolemy and Aristotle believed the Earth and heavens had different physics – this was before the train)
      • acceleration and gravity (Einstein’s general relativity)
      • gravitational field and geometry of spacetime (Einstein’s general relativity)
    • False Unifications:
      • heat and matter (phlogiston = the heat particle)
      • light and sound (sound = vibrations in matter, light = vibrations in aether)
      • aether
        • must be very dense (to allow super high speed of propagation)
        • cannot interact with matter (to allow passing)
        • yet matter must be able to interact with waves in it…
        • swing and a miss…
      • atoms as magnetic field line ‘knots’ (lead to fad mathematical ‘knot theory’)
    • Externalities of False Unification Attempts
      • development of ‘knot theory’ (inspired by atoms as magnetic field line ‘knots’)
      • conformal fields – 2D space cut out in time by moving string, used to describe 6D Calabi-Yau (describe 6D in 2D+1)
      • noncommutative geometry (inspired by Penrose’s Twister Theory)
    • Characteristics of Successful Unifications
      • surprising
      • dramastic consequences
      • new predictions
      • may explain contemporary surprises
      • may raise absurd questions that lead to more unifications
      • complementary uni groups create strong predictive frameworks (earth/planets, sun/stars, rest/motion, Earth’s gravity/sun’s force on planets)
    • Unification Strategies
      • show apparent difference is only due to difference in perspective (absolute distinction is only relative)
    • Power of Unifications
      • Maxwell:
        • experimental phenomena relating E and M
        • unification of E and M
        • Maxwell Eqns
        • EM waves
        • speed of light!
        • theory of light
        • radio! infrared! UV!
  • Beauty in Science
    • False Leads:
      • 5 planets orbits modeled by Russian doll set of Platonic solids (sphere, dodecahedron, sphere, tetrahedron, sphere) – not your best effort Kepler…
      • atoms as magnetic field line ‘knots’
      • string theory?
  • Kepler’s Laws
    • elliptical orbits with sun at focus
    • orbital speed ~ distance from sun
    • first to recognize that sun affected orbits (more than just a big candle!)
  • Why Being a Experimental Scientist Trumps Office Work
    • Eddington’s 1919 voyage to observe an eclipse and the bending of light and confirm Einstein’s general relativity
  • History of String Theory
    • Kaluza-Klein
      • added dimensions unify gravity and EM (EM = geometry of 5th D)
      • no new successful predictions
      • imposed fixed-radius, curled-up dimensions (static in space and time)
      • violates dynamic Einstein spacetime
      • with dynamic 5th D, Kaluza-Klein theory gives:
        • infinte solutions
        • radius of circle varies over space and time
        • gravitational and electrical effects convert into one another
        • electrical charges vary over time
        • *none observed
    • Yang-Mills: similar case for strong and weak nuclear force
    • Failures of Higher-D Unifications Theories:
      • no new predictions
      • many solutions (the few that describe the world are unstable)
      • not meshed with quantum theory
      • *failure encourages study of particle physics
    • Particle Physics
      • ignores weak gravity and continues
      • ignores dynamic spacetime (GR) and assumes static spacetime (SR)
      • background dependent
      • Quantum Field Theory
        • unify quantum with EM
        • continuous values of field lead to infinite variables
        • photon theory developed easily
        • integrating photons with E charges more difficult
        • QED developed independently by Japanese and Americans (Feynman and Schwinger) during WWII
      • Standard Model of Particle Physics
        • unifying EM with strong/weak
        • required breakdown of proton and neutron into quarks (Gell-Mann and Zweig in early 60s) to allow for breaking proton-neutron interaction down to quark interaction (like breaking molecular interaction down to atomic interaction)
        • experiments at Stanford (proposed by Feynman) confirm 3-quark protons and neutrons
        • 2 Major Principles:
          • Gauge Principles: unify using what is common
            • symmetry – operation that doesn’t change behavior relative to outside world
            • gauge principle – gauge forces can be completely determined by their symmetries
            • strong, weak, EM = gauge forces
            • messenger particles = gauge bosons (gluons, weak bosons, photons)
            • Yang-Mills theories = 50s application of gauge principles to particle physics to predict infinite range forces
          • Spontaneous Symmetry Breaking: differentiate
            • 60s ‘differentiation between unified phenomena’ theory: laws have symmetries not respected by all features of world they apply to
            • ex: children of equal opportunity who develop and differentiate
            • symmetry is spontaneously broken (necessary but highly contingent upon details)
            • symmetry/instability traded for assymmetry/stability
            • consequence: EM/strong/weak unified infite range force > SSB > EM infinite & strong/weak limited
            • phenomenon and particle resulting from SSB named Higgs
            • Weinberg-Salam model of electroweak theory used to unify EM and weak (predicted messenger particles of weak W+, W-, Z all found!)
            • consequence of adding SSB to fundamental theory: properties of universe depend on history & environment (breaking occurs differently depending on temp and pressure)
            • Higgs field = physical quantity signalling when and how symmetry broke
            • Higgs boson = force particle
            • last unconfirmed prediction of Weinberg-Salam model (could be proven by LHC!)
            • unification scale – energy scale at which forces unify
            • weak interaction scale – energy scale at which weak and EM unify (should observe Higgs)
        • QCD: quantum chromodynamics (gauge theory applied to strong – experimentally confirmed)
        • Weinberg-Salam + QCD = Standard Model of Particle Physics
    • GUT Effort using SSB
      • Goal
        • unify forces
        • unify quarks (ruled by strong) with leptons (ruled by electroweak)
      • SU(5): simple solution
        • named for 5 particles it unified: 3 quarks and 2 leptons (electron and its neutrino)
        • turned arbitrary into necessity
        • explained predictions of SM
        • made new prictions: decay of quarks into electrons and neutrions (proton decay)
        • massive tanks built deep underground with ultrapure H2O
        • 25 years later and nothing found…
        • inevitably, physicists toy with constants to make decay more rare but without predictions, theories die
    • Attempts at Unification of Particles and Forces
      • aether theory
      • unified field theory
      • supersymmetry
    • Supersymmetry
      • fermions – matter particles (obey Pauli exclusion)
      • bosons – force particles (reverse Pauli, encouraged sharing > results in fields)
      • SS unified fermions and bosons
        • predicts ‘selectron’ (super electron or boson equivalent)
        • free constant jerry rigg that sucka out of range of current experiments
    • Importance of Background Independence
      • integrates dynamic spacetime
      • QED solved with fixed background…
      • …but gravity cannot be (gravity waves interact, unlike EM waves)
    • History of Quantum Gravity
      • graviton theory developed by Bryce Dewitt in late 40s
      • self-interactin leads to infinities that aren’t solved into 70s
      • apply gravity to QM instead of QM to gravity?
      • important gravity situations: BHs and BB
      • black hole info paradox – QM states conservation of info yet a collapsing BH seems to eat info
      • supergravity fails to explain
      • choice: abandon fixed background OR abandon particles
    • Birth of String Theory
      • Gabriele Veneziano notices ‘rubber band’ formula that fits collision data for particles in an acceleration
      • original details:
        • 25 D
        • tachyon – particle that can exceed c
        • particles that cannot be brought to rest (massless – since mass measures energy at rest)
        • no fermions?
      • Pierre Riamond rehash:
        • fermions in
        • tachyons out
        • 25D > 9D
      • Stringy Details:
        • photons = open or closed strings
        • gravitons = closed strings
        • ends of open string = charged particles (particle and antiparticle)
        • closed loop production: particle-antiparticle collision > ends fuse > photon created
        • string between ends = force between them
        • forces determined by breaking/joining of strings
        • just 2 fundamental constants:
          • string tension – energy per length
          • string coupling constant – probability of splitting
        • law of motion = minimal SA of world sheet
        • field lines = quantized lines of electric flux
        • if true, ST leads to the following conclusions:
          • unify particles and forces as vibrations
          • gauge fields naturally arise as open strings
          • gravitons naturally arise as closed strings
          • supersymmetric ST unifies bosons and fermions
    • ST Revolutions
      • 1st (1984): John Schwarz shows ST anomaly free in 10D and search for meta theory with solutions equal to the many STs begins
      • 2nd (1995): Ed Witten lays out a plan
        • T-duality (topological) – 1/r = r (Planck bouncing)
        • S-duality (strong-weak coupling) – 1/g = g
        • 5 STs unified in 11D
        • 11D supermembrane theory revived
        • 2D branes floating in 11D
        • 1 D wrapped around circular D
        • other D moves in 9D space
        • Witten dubs “M Theory”
        • Brane Theories
          • Polchinski: ST must have more than strings (D-branes)
          • our world = floating 3D brane
          • piling 3D branes can create any symmetries
          • Strominger and Vafa (1996) describe special BHs with BT (biggest accomplishment of 2nd Rev)
        • Malcedena’s New Duality (1997)
          • ST with gravity and 1D = maximally super gauge theory on fixed background with no gravity
          • mental shortcut: electric field lines > each point has a value > value = distance > extra D!
          • only useful if one side of eqn can be defined exactly (gauge theory more likely)
        • Exact vs. Approximate
          • very important distinction
          • approx. between gravitational theory in BH and gauge theory at edge > info can be lost forever
          • exact between > info preserved
        • Cosmological Constant
          • Einstein invented to stabilize spacetime because he was unhappy with dynamic spacetime
          • QT may require CC since Heisenberg states that even with zero temp., energy still present (vaccuum/ground state)
          • Malcedena predicts negative CC
          • 1998 supernova observation shows positive CC
          • problem of moduli stabilization – how to prevent continually evolving geometry in ST
        • Anthropic Principle
          • STs are random
          • one leads to life in our universe
          • dangerous (destroy predictive power of science)
        • Possible Pro-ST Observations:
          • large relic strings (acting as gravitational lenses, duplicating images of stars)
          • extra D (extra forces)
          • supersymmetry (confirmation of WIMPs – weakly interacting massive particles)
          • unified forces (proton decay)
  • New Observations in Physics
    • peaks in temperature fluctuations in universe
      • resonant matter in early universe?
      • resonance ~ size
      • wavelength of resonant modes ~ size of universe at point when it became transparent (hot plasma decoupled into energy and matter)
    • preferred direction of universal radiation
      • dubbed “axis of evil”
    • cosmological constant scale R
      • C/R = age of universe
      • C^2/R = acceleration threshhold at which orbits move from not needing dark E to explain them to needing it (Milgrom’s Law)
      • Modified Newtonian Dynamics (MOND) by Milgrom: gravity decreases by d instead of d^2 after magical acceleration
  • New Testable Predictions
    • change in physical constants over time
      • measured using simple ratio
      • fine structure constant alpha = [electron charge^2/c]*Planck
    • GZK prediction (Planck scale test of special relativity)
      • cosmic rays – proton beams from far away that collide with atmosphere and create particle showers
      • max speed predicted
        • cosmic rays collide with space photons, create pions (pi-mesons), and slow down
        • effect: speed limit set by pion energy
      • Japanese found protons exceeding energy, so either:
        • originated close enough to Earth to maintain speed
        • wrong data
        • particle larger in mass than proton
        • breakdown in special relativity
      • could also be detected in different times of photons arriving from very distant gamma-ray burst
      • Giovanni Amelino-Camelia leads Planck scale observations
    • Douby Special Relativity (DSR)
      • length contraction + min. length do not mesh
      • currently, c is max speed, planck is min. length (or max E or momentum)
      • DSR proposes that c increases with T and was super-high at BB
      • works in 2D space
      • soccer ball problem Planck max E applies to protons and dogs, yet dogs have many protons…
  • Current Quantum Gravity
    • Basics:
      • space is emergent
      • fundamental description is discrete
      • causality is fundamental
    • Penrose’s Twister Theory
    • normally, events primary & relations secondary
    • TT flips, relations primary & events secondary
    • new space composed of light rays in spacetime
    • popular at Oxford in 70s
    • failed to integrate quantum, but lots of valuable math emerged
  • Loop Quantum Gravity
    • describe fields in terms of lines
    • lines ‘loop’ in absence of matter
    • precursor to ST (ST = bg indy case of loop QG)
    • decoherence – loss of info through interaction with environment
    • Fotini Markopoulos: particle as emergent excitation
    • particle = waves in quantum gravity
    • loop QG + Marko excitations + preons (new fund. particle) = good QT
  • Anthropic View of Science
    • evolved process that works for us in our world
    • paralell to no free lunch search theorem by Wolpert & Macready
  • 2 Characteristics of a Scientific Community
    • shared ethic
    • imaginative
      • rel. com. preserves
      • sci. com. progresses
      • relcom professes to know future
      • scicom open to many futures
    • science – “organized skepticism in the reliability of expert opinion” (Feynman)
  • Redesigning the SciCom
    • seek risk to maximize return (imitate VCs – 90% of ventures should fail)
    • flatten the hierarchy
    • polarization predicts success
  • Rebel Seers
    • Ted Jacobsen (false SR)
    • Joao Magueijo (false SR and variable c)
    • Robert Laughlin
    • Grigori Volovik
    • Xiao-Gang Wen
    • James Bjorken
    • Holger Bech Nielson (random dynamics)
    • ‘t Hooft (holographic principle)
    • Louis Crane (relational quantum theories)
    • Stuart Kauffman
    • Per Bak
    • Lynn Margulis
    • Alexander Grothendieck
    • Julian Barbour

    Questions

  • If dark matter is fundamentally under tension, how does it accelerate cosmic expansion?
  • How do we distinguish between dark energy and matter?
  • Is the notion of a field an oversimplication? (it seems like a stork story for baby physicists)
  • Mathematically, how does a background independent theory differ from a background dependent one?
  • What is gauge symmetry and what mathematics are needed to understand it? (more in Smolin’s ‘Life of the Cosmos’)
  • What is this MOND nonsense?
  • Is anyone currently studying the cosmological constant scale and its abundance of apparent coincidences?

    Topics to Explore

  • noncommutative geometry
  • topos theory – nature of time
  • scientific philosophy (Popper, Kuhn, Bacon)

    Conclusion

  • String theory has been deformed so many times that its hard to recognize and understand.
  • Many interesting and creative ideas have come out of the pursuit of string theory.
  • My romantic notion of a period of scientific hermitude has been reinforced.
  • Studying the fundamental can be lonely and difficult but is essential.

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