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How We See the
Matter That Makes
    All Things
      Steven Spencer
   Applied Mathematician

    Philosophers Corner
     2nd October 2012      1
Outline
•   The world of classical physics
•   Things don’t quite add up!
•   Enter the quantum
•   The mechanics and the quantum
•   Stranger and stranger
•   What does it mean?
•   Where is the mind in all this?
•   Are you sure?                    2
The world of classical physics
• Deterministic (Laplace 1749 - 1827)

• External observer and isolated experimental
  systems

• Particles (Newton 1642 -1727)

• Waves (Hooke, Huygens, Young, Maxwell)

                                                3
• Atomic theory (Dalton)
Things don’t quite add up
• Black-body thermal radiation → colours

• Stable atoms

• Line emission spectra

• Photoelectric effect

                                           4
Enter the Quantum
• The physics of atomic and sub-atomic scales?

• Energy is emitted in ‘bits’ (quanta) (Planck,
  1900) → tricky maths?



• Energy in light is in ‘grainy bits’ (photons)
  which are particles with wave properties →
  photoelectric effect (Einstein, 1905)
                                                  5
Two views of EM radiation
• Light is a wave!   Light is a particle!




                                            6
The Mechanics and the Quantum
• Orbital atomic theory (Rutherford, 1911)

• Quantised electron orbit atomic model
  (Bohr, 1913) → ‘flights and perchings’

• Particles are waves! (de Broglie, 1924) →
  orbiting electrons have integer
  wavelengths!

• Matrix mechanics (Heisenberg, 1925) →
  unanschaulich atomic world!                 7
• Wave mechanics (Schrodinger, 1926) → how the
  quantum state of a system evolves with time.
  Anschaulich atomic world?

• Complementarity – wave-particle duality

• Deterministic description for wave functions +
  Statistical description of matter and energy.

• Uncertainty principle (Heisenberg, 1927)
  Momentum and position cannot be simultaneously
  measured with unlimited precision.               8
The observer and the system
• The role of the classical observer
  (measurement) of a quantum system becomes
  central and hotly contested –

 “We are not only observers. We are
 participators. In some strange sense, this is a
 participatory universe.” – John A. Wheeler



                                                   9
The Quantum World?
• Wave function evolution U(objective &
  deterministic) + measurement R(subjective) =
  confusion?!?




                                             10
Electron Double Slit Experiment
                (Feynman)
• Detector ‘D’ turned
  on or off by observer
  → affects pattern on
  screen by double slit.
  Observer affects
  outcome of experiment!




                                        11
Stranger and stranger
• Superposition of states → possible in quantum
  but not classical world (Schrodinger’s cat).

• Quantum emtanglement → Many particle
  systems have a complicated combined
  wavefunction even at ‘large’ distances!

• Einstein-Podolski-Rosen (EPR) effect – QM is
  either ‘non-local’ (faster than light influences)
  or is not a complete theory!
                                                  12


• Bell inequalities – QM wins again!
Schrodinger’s Cat Thought Experiment!
                          • Quantum
                            superposition
                            affects the
                            classical
                            world?




                                      13
‘Spooky action at a distance’ (Einstein)




• Before detection the electron wave is
  ‘everywhere’, at detection the wave function
  collapses throughout the universe!             14
• Single source of two photons – ‘spin’
  observation method at one end affects
  observation at a distant point! Do particles
  communicate with one another or are they
  one entity ?!?                                 15
• Standard QM violates Bell’s theorem. Separated
  particles are connected (entanglement)!?!
• Result confirmed by experiment (Aspect, 1982)!!
                                                16
What does it mean?
• Starting point – no experiment has ever been
  found that concludes against QM maths!

• Whatever happened to determinism?

  “God does not play dice” – A. Einstein
                 vs
  “A physical object has an ontologically
  undetermined component that is not due to
  the epistemological limitations of physicists’
  understanding” – A. Eddington                    17
• Ontologies (interpretations) –

 a) Copenhagen (Bohr, Heisenberg and Born, 1927) –
 Complementarity + uncertainty principle +
 measurement + correspondence principle.

 QM describes knowledge NOT reality!

 “There is no quantum world. There is only an
 abstract physical description.” - N. Bohr

 “The idea of intermediate kinds of reality was just
 the price one had to pay” – W. Heisenberg        18
b) Many-worlds / relative state (Everett, 1957) –
universal wavefunction never collapses → multiverse

c) Environmental decoherence – rapid disappearance
of quantum superpositions by interaction with
environment (useful for many interpretations).

d) Ensemble (Einstein) – Minimalist, statistical –
wavefunction for large numbers of particles only.

e) Relational – different observers see different
quantum states.
                                                     19
f) Pilot-wave (de Broglie, Bohm) – Particles guided by
wavefunction. Non-local, holistic universe, hidden
variables.

g) Objective collapse (Penrose) – physical mechanism
of collapse – extended QM.

h) Conciousness collapse - subjective reduction (von
Neumann/Wigner) & participatory anthropic principle
(J.A. Wheeler)
g) New theories (many!) – objective R wave function
collapse / non-linear U function.                  20
Where is the mind in all this?
• What is a brain?

• Dense network – more
  than 104 cell bodies and
  km of wiring per cubic mm!

• Multiple cell types: spiking    Q: Is the mind
  neurons (1011 cells) for info   (consciousness)
  processing, analog neurons      highly organised
  & ‘supporter’ cells .           brain activity?
                                                 21
Neuronal Behaviour




⇒




                     22
Quantum Theory of Mind
• Non-algorithmic thought → cannot be modelled by a
  digital (Turing) computer.

• Consciousness as a quantum mechanical phenomenon
  (Penrose & Hameroff) –
  Hypothesis: Neuron microtubules within neurons support
  quantum superpositions (non-computable behaviour) +
  macroscopic quantum entanglement across brain.

• Highly controversial – decoherence counter-argument!

• Physical collapse of quantum wavefunction of
  microtubules essential for consciousness (Orch-OR).   23
Complex Dynamical Behaviour Theory
              of Mind
• Intrinsic non-linear dynamics of each individual neuron +
  network dynamics (attractors, bifurcations of behaviour,
  small changes in inputs lead to large changes in outputs).

• ‘Simple’ non-linear models found for behaviour of
  individual spiking neurons → reproduce complex bursKng
  behaviour.

• Apparently non-algorithmic behaviour (sometimes chaos)
  from algorithmic (deterministic) components.

• Consciousness as an emergent phenomenon from a neural
  network complex dynamical system of the physical brain.
                                                       24
Are you sure?
• An underlying level of reality?

• Quantum state decoherence and gravitons?

• Non-linear quantum theory

• The classical-quantum divide - looking for
  decoherence


• To be continued…                             25
THANK YOU!!!
               26

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QM philosophy talk

  • 1. How We See the Matter That Makes All Things Steven Spencer Applied Mathematician Philosophers Corner 2nd October 2012 1
  • 2. Outline • The world of classical physics • Things don’t quite add up! • Enter the quantum • The mechanics and the quantum • Stranger and stranger • What does it mean? • Where is the mind in all this? • Are you sure? 2
  • 3. The world of classical physics • Deterministic (Laplace 1749 - 1827) • External observer and isolated experimental systems • Particles (Newton 1642 -1727) • Waves (Hooke, Huygens, Young, Maxwell) 3 • Atomic theory (Dalton)
  • 4. Things don’t quite add up • Black-body thermal radiation → colours • Stable atoms • Line emission spectra • Photoelectric effect 4
  • 5. Enter the Quantum • The physics of atomic and sub-atomic scales? • Energy is emitted in ‘bits’ (quanta) (Planck, 1900) → tricky maths? • Energy in light is in ‘grainy bits’ (photons) which are particles with wave properties → photoelectric effect (Einstein, 1905) 5
  • 6. Two views of EM radiation • Light is a wave! Light is a particle! 6
  • 7. The Mechanics and the Quantum • Orbital atomic theory (Rutherford, 1911) • Quantised electron orbit atomic model (Bohr, 1913) → ‘flights and perchings’ • Particles are waves! (de Broglie, 1924) → orbiting electrons have integer wavelengths! • Matrix mechanics (Heisenberg, 1925) → unanschaulich atomic world! 7
  • 8. • Wave mechanics (Schrodinger, 1926) → how the quantum state of a system evolves with time. Anschaulich atomic world? • Complementarity – wave-particle duality • Deterministic description for wave functions + Statistical description of matter and energy. • Uncertainty principle (Heisenberg, 1927) Momentum and position cannot be simultaneously measured with unlimited precision. 8
  • 9. The observer and the system • The role of the classical observer (measurement) of a quantum system becomes central and hotly contested – “We are not only observers. We are participators. In some strange sense, this is a participatory universe.” – John A. Wheeler 9
  • 10. The Quantum World? • Wave function evolution U(objective & deterministic) + measurement R(subjective) = confusion?!? 10
  • 11. Electron Double Slit Experiment (Feynman) • Detector ‘D’ turned on or off by observer → affects pattern on screen by double slit. Observer affects outcome of experiment! 11
  • 12. Stranger and stranger • Superposition of states → possible in quantum but not classical world (Schrodinger’s cat). • Quantum emtanglement → Many particle systems have a complicated combined wavefunction even at ‘large’ distances! • Einstein-Podolski-Rosen (EPR) effect – QM is either ‘non-local’ (faster than light influences) or is not a complete theory! 12 • Bell inequalities – QM wins again!
  • 13. Schrodinger’s Cat Thought Experiment! • Quantum superposition affects the classical world? 13
  • 14. ‘Spooky action at a distance’ (Einstein) • Before detection the electron wave is ‘everywhere’, at detection the wave function collapses throughout the universe! 14
  • 15. • Single source of two photons – ‘spin’ observation method at one end affects observation at a distant point! Do particles communicate with one another or are they one entity ?!? 15
  • 16. • Standard QM violates Bell’s theorem. Separated particles are connected (entanglement)!?! • Result confirmed by experiment (Aspect, 1982)!! 16
  • 17. What does it mean? • Starting point – no experiment has ever been found that concludes against QM maths! • Whatever happened to determinism? “God does not play dice” – A. Einstein vs “A physical object has an ontologically undetermined component that is not due to the epistemological limitations of physicists’ understanding” – A. Eddington 17
  • 18. • Ontologies (interpretations) – a) Copenhagen (Bohr, Heisenberg and Born, 1927) – Complementarity + uncertainty principle + measurement + correspondence principle. QM describes knowledge NOT reality! “There is no quantum world. There is only an abstract physical description.” - N. Bohr “The idea of intermediate kinds of reality was just the price one had to pay” – W. Heisenberg 18
  • 19. b) Many-worlds / relative state (Everett, 1957) – universal wavefunction never collapses → multiverse c) Environmental decoherence – rapid disappearance of quantum superpositions by interaction with environment (useful for many interpretations). d) Ensemble (Einstein) – Minimalist, statistical – wavefunction for large numbers of particles only. e) Relational – different observers see different quantum states. 19
  • 20. f) Pilot-wave (de Broglie, Bohm) – Particles guided by wavefunction. Non-local, holistic universe, hidden variables. g) Objective collapse (Penrose) – physical mechanism of collapse – extended QM. h) Conciousness collapse - subjective reduction (von Neumann/Wigner) & participatory anthropic principle (J.A. Wheeler) g) New theories (many!) – objective R wave function collapse / non-linear U function. 20
  • 21. Where is the mind in all this? • What is a brain? • Dense network – more than 104 cell bodies and km of wiring per cubic mm! • Multiple cell types: spiking Q: Is the mind neurons (1011 cells) for info (consciousness) processing, analog neurons highly organised & ‘supporter’ cells . brain activity? 21
  • 23. Quantum Theory of Mind • Non-algorithmic thought → cannot be modelled by a digital (Turing) computer. • Consciousness as a quantum mechanical phenomenon (Penrose & Hameroff) – Hypothesis: Neuron microtubules within neurons support quantum superpositions (non-computable behaviour) + macroscopic quantum entanglement across brain. • Highly controversial – decoherence counter-argument! • Physical collapse of quantum wavefunction of microtubules essential for consciousness (Orch-OR). 23
  • 24. Complex Dynamical Behaviour Theory of Mind • Intrinsic non-linear dynamics of each individual neuron + network dynamics (attractors, bifurcations of behaviour, small changes in inputs lead to large changes in outputs). • ‘Simple’ non-linear models found for behaviour of individual spiking neurons → reproduce complex bursKng behaviour. • Apparently non-algorithmic behaviour (sometimes chaos) from algorithmic (deterministic) components. • Consciousness as an emergent phenomenon from a neural network complex dynamical system of the physical brain. 24
  • 25. Are you sure? • An underlying level of reality? • Quantum state decoherence and gravitons? • Non-linear quantum theory • The classical-quantum divide - looking for decoherence • To be continued… 25