Forum Scientiarum International Interdisciplinary Summer School 2012 Einstein s Philosophy of Science

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1 Forum Scientiarum International Interdisciplinary Summer School 2012 Einstein s Philosophy of Science Pauli, Bohm and Quantum Mechanics 1

2 Albert Einstein relativity of space and time, general relativity mass energy equvivalence photoelectric effect Nobel price 1921 Wolfgang Pauli ( ) spin of electron and nucleon neutrino plasma physics E mc Pauli principle Nobel price 1945 CPT-theorem David Bohm Aharanov-Bohm effect causal interpretation of QM implicit and explicit order 2 2

3 C.G.Jung and W.Pauli: Correspondence about the psycho-physical problem Synchronicity Unus mundus One World 3

4 psychical world Carthesian cut physical world thoughts, feelings bodies conscious personal unconscious collective unconscious observer-dependence differential equations Symmetries, Conservation uncertainty, nonlocality observer-dependence images, symbols, numbers, space, time A r c h e t y p e s U N U S M U N D U S 4

5 David Bohm Different types of order Example: image explicit order optical lense: point to point Reference wave Object and object wave Hologram implicit order holography: wholeness 5

6 Holomovement in a glycerin cylinder Inc drop is injected Implication: rotational movement of the innerer cylinder (high viscosity prevents diffusion) Explication: turn back 6

7 Holomovement as model for action quantas turn forward: inject many inc turn back a kind of trajectory becomes explicit 7

8 Conciousness as holomovement I walk at night in a dark place, suddenly there is a little rustle I get frightened and feel a reflex to run I get the imagination of some enemy who attacs me my muscles tense, my pulse rate gets high nerves and hormons get involved a holistic process is triggert and calms down after a while 8

9 The power of thought Thoughts divide what belongs together world nations the division of the world is unnatural Thoughts form unnatural units residents of a country build an emotional unit, which has to be proteced this unity is an illusion and can be dangerous Thoughts and ideas influence everything our actions, our feelings, our body functions, what we eat, speak, how we build houses,... Thoughts and ideas influence everything but give the impression to represent everything as it is 9

10 Escher: An impossible object 10

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12 Classical mechanics 2 p Objectivity E V 2m Energy Motion: p 2 m E V Contents: r Momentum Trajectory: r t, p t m v t t 0 r t t r t lim t Position thermodynamics struktural mechanics hydrodynamics aeronautics, space flight 12

13 Basics of classical mechanics Objectification up to the point unnatural Separation of motion and content unnatural Rational unification of motion and content unnatural 13

14 Quantum mechanics: corretions to classical mechanics r t Uncertainty, irrationality: r t, Space curve Probability for observation is / Unification of motion and content: e... Wave function with action S: ps, ES S V i 2m 2m 2 This explains: Black body radiation Atomic structur, plasm Periodic system of elements solids, semiconducters electronics, Computers, LASER quantisation 14

15 QM double-slit experiment 15

16 Probability current No path detector superposition of both ways many events interference Probability at the slits upper: lower: Path detector responds not 'quantum leap' upward no interference upper: lower: Path detector responds 'quantum leap' downward no interference upper: lower:

17 Corrections to Conciousness All sensations, thoughts and feelings have complementary content and movement acausal manifestations oscillations between possibilities In conciousness the awareness of every world content is indvidual and unseperable from the observer In 'One World' observer and world are united 17

18 Motion complementary Content Manifestation Superposition Order structures Archetypes O N E W O R L D 18

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20 Ambiguity and oscillations 20

21 Electron in 1D-box 21

22 Formalism of quantum mechanics 6 6 Quanten field: Probability densicty c d x c u x d u x x x n n n n n0 n1 amplitudes: n n 2 c d probability: c u x x dx d u x x dx c x 2 dun of momentum pn : i dx of location x x: d n n 2 c n 22

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