universe as the effect of its past and the cause of its future. An intellect which at a certain moment would know all forces that set nature in motion, and all positions of all items of which nature is composed, if this intellect were also vast enough to submit these data to analysis, it would embrace in a single formula the movements of the greatest bodies of the universe and those of the tiniest atom; for such an intellect nothing would be uncertain and the future just like the past would be present before its eyes.” – Pierre-Simon Laplace, 1814
a system determine the outcome of that system according to necessary laws ! locality: speed of light is the speed limit of everything, causal effects take time to travel
a system determine the outcome of that system according to necessary laws ! locality: speed of light is the speed limit of everything, causal effects take time to travel ! continuity: motion is continuous; energy can come in arbitrarily small amounts
objects emit radiation, but why don’t objects emit far more energy at higher frequencies than they do? ! the photo-electric effect: Why do some colors but not others cause electrons to be emitted regardless of intensity?
objects emit radiation, but why don’t objects emit far more energy at higher frequencies than they do? ! the photo-electric effect: Why do some colors but not others cause electrons to be emitted regardless of intensity? ! spectra of heated gases: why does the light emitted by heated gases exhibit clear lines in only some colors, not a continuous range?
multiples of some tiny amount – a quantum? ! This would prevent infinite amounts of energy being emitted by black bodies. ! Is this just “curve fitting” or an insight into the deep nature of things?
multiples of some tiny amount – a quantum? ! This would prevent infinite amounts of energy being emitted by black bodies. ! Is this just “curve fitting” or an insight into the deep nature of things? ! Planck himself was not sure.
and light comes in individual packets (photons) the photo-electric effect can be explained. ! Long wavelength photons do not have the energy to dislodge electrons no matter how many of them there are, but short wavelength photons do.
and light comes in individual packets (photons) the photo-electric effect can be explained. ! Long wavelength photons do not have the energy to dislodge electrons no matter how many of them there are, but short wavelength photons do. ! Einstein did not know why only certain photons could dislodge electrons in metals.
frequencies will fit in particular orbits around the nucleus of an atom. ! Photons of only particular frequencies add just the right amount of energy to dislodge or excite electrons.
frequencies will fit in particular orbits around the nucleus of an atom. ! Photons of only particular frequencies add just the right amount of energy to dislodge or excite electrons. ! This is why atomic spectra consist of narrow lines and how the photo-electric effect works.
frequencies will fit in particular orbits around the nucleus of an atom. ! Photons of only particular frequencies add just the right amount of energy to dislodge or excite electrons. ! This is why atomic spectra consist of narrow lines and how the photo-electric effect works. ! Bohr’s atomic model is the cornerstone of quantum physics.
wave. ! Thompson showed that electrons are particles. ! So how can light behave like a particle? ! And how do electrons act like waves? ! Do we even understand what matter and energy are?
in multiples of particular amounts. ! Wave/particle duality: energy and matter have properties of both waves and particles. ! Uncertainty principle: with certain pairs of properties, increasing precision of one measurement decreases precision of the other.
measurement makes it definite. ! Many worlds: all possible quantum states exist in different real worlds. ! Hidden variables: there is something else going on here that causes the appearance of quantum weirdness.