Thanks Brent. It looks interesting indeed. Glad to see the frequency
operator coming back.
Tegmark is decidedly the closer physicist to the possible physics
which has to be extracted from the computationalist hypothesis. It is
sad that he is not ware of the delicacy of the mind-body problem and
the need to abandon the identity thesis (mind-brain) once assuming
mechanism.
Bruno
On 30 Aug 2010, at 04:25, Brent Meeker wrote:
On 8/29/2010 11:49 AM, Bruno Marchal wrote:
It is the nth attempt by Kent to refute Everett. Ah, but he may
succeed, one day.
Thanks for the link. I will try to find some time to take a look.
But personally I think that many-worlds is already a consequence of
mechanism, well before quantum mechanism. In that sense I think
that quantum mechanism (in physics) confirms digital mechanism (in
theology).
Bruno
I'd think you'd be very happy with this paper - which comports with
an infinite "everything".
Born in an Infinite Universe: a Cosmological Interpretation of
Quantum Mechanics
Authors: Anthony Aguirre, Max Tegmark, David Layzer
(Submitted on 5 Aug 2010)
Abstract: We study the quantum measurement problem in the context of
an infinite, statistically uniform space, as could be generated by
eternal inflation. It has recently been argued that when identical
copies of a quantum measurement system exist, the standard
projection operators and Born rule method for calculating
probabilities must be supplemented by estimates of relative
frequencies of observers. We argue that an infinite space actually
renders the Born rule redundant, by physically realizing all
outcomes of a quantum measurement in different regions, with
relative frequencies given by the square of the wave function
amplitudes. Our formal argument hinges on properties of what we term
the quantum confusion operator, which projects onto the Hilbert
subspace where the Born rule fails, and we comment on its relation
to the oft-discussed quantum frequency operator. This analysis
unifies the classical and quantum levels of parallel universes that
have been discussed in the literature, and has implications for
several issues in quantum measurement theory. It also shows how,
even for a single measurement, probabilities may be interpreted as
relative frequencies in unitary (Everettian) quantum mechanics. We
also argue that after discarding a zero-norm part of the
wavefunction, the remainder consists of a superposition of
indistinguishable terms, so that arguably "collapse" of the
wavefunction is irrelevant, and the "many worlds" of Everett's
interpretation are unified into one. Finally, the analysis suggests
a "cosmological interpretation" of quantum theory in which the wave
function describes the actual spatial collection of identical
quantum systems, and quantum uncertainty is attributable to the
observer's inability to self-locate in this collection.
Comments: 17 pages, 2 figures
Subjects: Quantum Physics (quant-ph); Cosmology and Extragalactic
Astrophysics (astro-ph.CO); General Relativity and Quantum Cosmology
(gr-qc); High Energy Physics - Theory (hep-th)
Cite as: arXiv:1008.1066v1 [quant-ph]
Brent
On 29 Aug 2010, at 00:59, ronaldheld wrote:
http://arxiv.org/PS_cache/arxiv/pdf/0905/0905.0624v2.pdf
Any comments on this large apper?
Ronald
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