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Quantum Probability, choice in large worlds, and the statistical structure of reality

Ladyman, James A C, Ross, Don A

Published Jan 1, 2013• 0 citations
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Quantum probability, choice in large worlds, and the statistical structure of reality

Don Ross, James Ladyman

Classical probability models of incentive response are inadequate in "large worlds," where the dimensions of relative risk and the dimensions of similarity in outcome comparisons typically differ. Quantum probability models for choice in large worlds may be motivated pragmatically - there is no third theory - or metaphysically: statistical processing in the brain adapts to the true scale-relative structure of the universe.

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The key observation about the quantum reality is that it looks as if there is a moment when a probability of a quantum event or events becomes reality for us.However, after careful analysis it looks plausible that what we believe is a definite state in our reality, observed as an outcome of a quantum experiment or experiments, is actually not a definite state.From there, we conclude that quantum world is an active world whose influence lies beyond statistical and permanent determination of reality as we know it.

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Algebraic Approach to Quantum Gravity: relative realism

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In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspective on the nature of physical reality which I have called `relative realism'. Central to this is a novel answer to the Plato's cave problem in which both the world outside the cave and the `set of possible shadow patterns' in the cave have equal status. We explain the notion of constructions and `co'constructions in this context and how quantum groups arise naturally as a microcosm for the unification of quantum theory and gravity. More generally, reality is `created' by choices made and forgotten that constrain our thinking much as mathematical structures have a reality created by a choice of axioms, but the possible choices are not arbitary and are themselves elements of a higher-level of reality. In this way the factual `hardness' of science is not lost while at the same time the observer is an equal partner in the process. We argue that the `ultimate laws' of physics are then no more than the rules of looking at the world in a certain self-dual way, or conversely that going to deeper theories of physics is a matter of letting go of more and more assumptions. We show how this new philosophical foundation for quantum gravity leads to a self-dual and fractal like structure that informs and motivates the concrete research reviewed in parts II,III. Our position also provides a kind of explanation of why things are quantized and why there is gravity in the first place, and possibly why there is a cosmological constant.

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Many worlds and the appearance of probability in quantum mechanics

Van Wesep, A. Robert

Bulletin of the American Physical Society•Mar 11, 2008•0 citations
The key observation about the quantum reality is that it looks as if there is a moment when a probability of a quantum event or events becomes reality for us.However, after careful analysis it looks plausible that what we believe is a definite state in our reality, observed as an outcome of a quantum experiment or experiments, is actually not a definite state.From there, we conclude that quantum world is an active world whose influence lies beyond statistical and permanent determination of reality as we know it.
In the first of three articles, we review the philosophical foundations of an approach to quantum gravity based on a principle of representation-theoretic duality and a vaguely Kantian-Buddist perspective on the nature of physical reality which I have called `relative realism'. Central to this is a novel answer to the Plato's cave problem in which both the world outside the cave and the `set of possible shadow patterns' in the cave have equal status. We explain the notion of constructions and `co'constructions in this context and how quantum groups arise naturally as a microcosm for the unification of quantum theory and gravity. More generally, reality is `created' by choices made and forgotten that constrain our thinking much as mathematical structures have a reality created by a choice of axioms, but the possible choices are not arbitary and are themselves elements of a higher-level of reality. In this way the factual `hardness' of science is not lost while at the same time the observer is an equal partner in the process. We argue that the `ultimate laws' of physics are then no more than the rules of looking at the world in a certain self-dual way, or conversely that going to deeper theories of physics is a matter of letting go of more and more assumptions. We show how this new philosophical foundation for quantum gravity leads to a self-dual and fractal like structure that informs and motivates the concrete research reviewed in parts II,III. Our position also provides a kind of explanation of why things are quantized and why there is gravity in the first place, and possibly why there is a cosmological constant.