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Published byHester Blair Modified over 9 years ago
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Overview Three examples of multi-level explanation in physics Some general morals for the structure of science The unification hypothesis The quantum measurement problem
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The “peg problem” (after Putnam)
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The peg problem (2) We don’t understand the problem fully unless we understand that the system instantiates rigid-body geometry – even if we know all the micro-physics We also want to know why the system instantiates rigid-body geometry Knowing the answer to the second question also helps us know when the instantiation fails
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The solar system Each planet’s motion, individually, well described by 2-body Newtonian dynamics This is instantiated (approximately) by a 9- body Newtonian system This in turn is instantiated (approximately) by a certain general-relativistic system together with a phenomenological theory of matter The matter theory, in turn, is...
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Overall story
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Structure of Science
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Properties of instantiation relation A bit noisy – and noise can’t be understood from the instantiated perspective Not usually guessable without a lot of help from the phenomena Only applies to certain states of instantiating system One system can instantiate lots of systems
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Unity hypothesis
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Types of unity hypothesis Strong version: there is some theory such that the full structure of the Universe is isomorphic to the structure of one of its systems Weaker versions: – Any region in which self-gravity can be neglected is structured like a system described by the Standard Model – Any region in which self-gravity and relativity can be neglected is structured like a system described by QED + nuclei + gravitational potential
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Reasons to accept unity hypotheses Metaphysical reasons (?) – Compositionality story? (hard to sustain) – Are alternatives coherent? Consistency – Once we say that a system has the structure of the Standard Model, there’s not much space for other structural claims Success of the hypothesis
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Roadblocks for unity hypothesis Living tissue? (thoroughly refuted) Consciousness? (silly, in my view; not all agree) Statistical mechanics? (probably just a matter of understanding better the constraints on the instantiating system’s state) The quantum measurement problem
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Decoherence and Everett Decoherence theory tells us that classical systems are, in a wide variety of situations and conditions, instantiated by quantum systems BUT the instantation is multiple – a given quantum system generally instantiates a multitude of distinct classical and semiclassical processes So a quantum world is structured like a multiplicity of classical worlds
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