Lecture � Hofstadter, �Analogy as the central motor of discovery in physics�

Greg Detre

Friday, April 25, 2003

 

gave the Hofstadter physics lectures while a Visiting Professor at Stanford

 

Heisenberg � got to matrix mechanics from fourier series by one super-crucial analogy (table of energy states of a system � atom vs planet, momentum + velocity)

refce: Stephen Weinberg � distinction between sage and magician physicists (cf Feynman???)

 

negative probability � is �of course meaningless� � it�s not of course meaningless

it�s of course meaningless for a particle to pass through two slits at once, or to have zero mass

 

light as like sound vs particle

then: all particles as like light (de Broglie, 1923), then sound as like light

 

refce: Japanese physicist autobiography Yukawa (1934) � invented the hypothetical particle that turned out to be rule that mediated the nuclear force � only creative at night when unhampered by the rows of equations

 

much of great physics has been and can only be done by analogy

because physics is so counter-intuitive

 

wants to write a book on subdivisions/types of analogies (cf Gunkel�s ideonomy)

 

resents people who cover up the transparency, and tries to resist the urge to J

 

grand sweeps

from f=ma to the present day

Legendre invents the notion of gravitational potential???

Poisson � invents the electric potential, then magnetic (scalar) potential

refce: Maxwell � article on analogy in physics

Maxwell � magnetic vector potential

Minkowki � 4-vectors

 

families of particles???

 

isomorphism vs analogy???

isomorphism as structural/mathematical, analogy as more slippages/aesthetic???

 

�just as every house needs a toilet, the toilet in the house of elementary particle theory is Higgs� theory� � Glashow J