Dr. Olaf Dreyer
MIT
Project Title
Quantum Space
Project Summary
In the beginning of the last century two revolutions completely changed fundamental physics. One was quantum mechanics the other was general relativity. Both of these revolutions can be considered unfinished. Quantum mechanics is beset by the measurement problem that requires us to draw an artificial line between the classical and the quantum world. General relativity so far has resisted all attempts at formulating it in a way that is consistent with quantum mechanics. This project addresses both these problems. It first unites the classical and the quantum world by identifying the classical world as that part of the quantum world consisting of large systems. These large systems have properties like position and momentum that are not shared by its small constituents. Since our everyday experience is built on these properties the quantum world looked so strange when we discovered it. If properties like position are not fundamental we have to rethink general relativity as well. Our smooth notions of space-time are unlikely to be fundamental. We have to rebuild these notions from the emergent degrees of freedom. As part of this construction we understand the Einstein equations in a new way.
Technical Abstract
We propose new ways of dealing with quantum gravity and the measurement problem in quantum mechanics. We stress the importance of background independence, which in our proposal is implemented by relying solely on internally available data. We show how special relativity naturally appears in this way. When metric notions as well as notions like mass and energy are defined purely internally the emergent space-time ceases to be flat. We argue that if this is done consistently the equivalence principle and the Einstein equations emerge naturally. In quantum mechanics we argue that the transition from the quantum to the classical is governed by randomizing devices. These are large quantum mechanical systems that are very sensitive to the environment. We show that in the presence of a randomizing device the usual arguments for the measurement problem do not apply. We show how instead the measurement problem can be resolved and how the probabilistic character of quantum mechanics naturally arises. We then show how this view of quantum mechanics can be seen as supporting our view of quantum gravity.
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We propose new ways of dealing with quantum gravity and the measurement problem in quantum mechanics. We stress the importance of background independence, which in our proposal is implemented by relying solely on internally available data. We show how special relativity naturally appears in this way. When metric notions as well as notions like mass and energy are defined purely internally the emergent space-time ceases to be flat. We argue that if this is done consistently the equivalence principle and the Einstein equations emerge naturally. In quantum mechanics we argue that the transition from the quantum to the classical is governed by randomizing devices. These are large quantum mechanical systems that are very sensitive to the environment. We show that in the presence of a randomizing device the usual arguments for the measurement problem do not apply. We show how instead the measurement problem can be resolved and how the probabilistic character of quantum mechanics naturally arises. We then show how this view of quantum mechanics can be seen as supporting our view of quantum gravity.
Hide Technical Abstract
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