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From: Lennart Nilsson <lennartn.domain.name.hidden>

Date: Fri, 15 May 2009 12:57:25 +0200

This looks interesting. Has it been noticed here?

The Invariant Set Hypothesis: A New Geometric Framework for the Foundations

of Quantum Theory and the Role Played by Gravity

Authors: T.N.Palmer

<http://arxiv.org/find/quant-ph/1/au:+Palmer_T/0/1/0/all/0/1>

(Submitted on 05 Dec 2008 (v1 <http://arxiv.org/abs/0812.1148v1> ), last

revised 17 Feb 2009 (this version, v3))

Abstract: The Invariant Set Hypothesis proposes that states of physical

reality belong to, and are governed by, a non-computable fractal subset I of

state space, invariant under the action of some subordinate deterministic

causal dynamics D. The Invariant Set Hypothesis is motivated by key results

in nonlinear dynamical-systems theory, and black-hole thermodynamics. The

elements of a reformulation of quantum theory are developed using two key

properties of I: sparseness and self-similarity. Sparseness is used to

relate counterfactual states to points not on I thus providing a basis for

understanding the essential contextuality of quantum physics. Self

similarity is used to relate the quantum state to oscillating coarse-grain

probability mixtures based on fractal partitions of I, thus providing the

basis for understanding the notion of quantum coherence. Combining these, an

entirely analysis is given of the standard "mysteries" of quantum theory:

superposition, nonlocality, measurement, emergence of classicality, the

ontology of uncertainty and so on. It is proposed that gravity plays a key

role in generating the fractal geometry of I. Since quantum theory does not

itself recognise the existence of such a state-space geometry, the results

here suggest that attempts to formulate unified theories of physics within a

quantum theoretic framework are misguided; rather, a successful quantum

theory of gravity should unify the causal non-euclidean geometry of space

time with the atemporal fractal geometry of state space.

http://arxiv.org/abs/0812.1148

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Received on Fri May 15 2009 - 12:57:25 PDT

Date: Fri, 15 May 2009 12:57:25 +0200

This looks interesting. Has it been noticed here?

The Invariant Set Hypothesis: A New Geometric Framework for the Foundations

of Quantum Theory and the Role Played by Gravity

Authors: T.N.Palmer

<http://arxiv.org/find/quant-ph/1/au:+Palmer_T/0/1/0/all/0/1>

(Submitted on 05 Dec 2008 (v1 <http://arxiv.org/abs/0812.1148v1> ), last

revised 17 Feb 2009 (this version, v3))

Abstract: The Invariant Set Hypothesis proposes that states of physical

reality belong to, and are governed by, a non-computable fractal subset I of

state space, invariant under the action of some subordinate deterministic

causal dynamics D. The Invariant Set Hypothesis is motivated by key results

in nonlinear dynamical-systems theory, and black-hole thermodynamics. The

elements of a reformulation of quantum theory are developed using two key

properties of I: sparseness and self-similarity. Sparseness is used to

relate counterfactual states to points not on I thus providing a basis for

understanding the essential contextuality of quantum physics. Self

similarity is used to relate the quantum state to oscillating coarse-grain

probability mixtures based on fractal partitions of I, thus providing the

basis for understanding the notion of quantum coherence. Combining these, an

entirely analysis is given of the standard "mysteries" of quantum theory:

superposition, nonlocality, measurement, emergence of classicality, the

ontology of uncertainty and so on. It is proposed that gravity plays a key

role in generating the fractal geometry of I. Since quantum theory does not

itself recognise the existence of such a state-space geometry, the results

here suggest that attempts to formulate unified theories of physics within a

quantum theoretic framework are misguided; rather, a successful quantum

theory of gravity should unify the causal non-euclidean geometry of space

time with the atemporal fractal geometry of state space.

http://arxiv.org/abs/0812.1148

--~--~---------~--~----~------------~-------~--~----~

You received this message because you are subscribed to the Google Groups "Everything List" group.

To post to this group, send email to everything-list.domain.name.hidden

To unsubscribe from this group, send email to everything-list+unsubscribe.domain.name.hidden

For more options, visit this group at http://groups.google.com/group/everything-list?hl=en

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Received on Fri May 15 2009 - 12:57:25 PDT

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