Science > Physics > Canonical Science Today, unravelling quantum measurement mystery
| Topic: |
Science > Physics |
| User: |
"Juan R." |
| Date: |
17 May 2006 03:05:13 AM |
| Object: |
Canonical Science Today, unravelling quantum measurement mystery |
The development and implementation of the new CanonML is a priority for
the Center for CANONICAL |SCIENCE). However, some advance had been done
in scientific research programs will be next explained.
Full explanation and relevant literature will be added in posterior
threads. Now, just let me explain basic thoughts.
i)
The most general time-local quantum equation. Now we can also derive
the axiomatic Lindblad equation from first principles. This opens a new
way to axiomatic generalizations of unitary quantum mechanics outside
of the Markovian regime.
After so many debate, now we begin to understand that none of
previously proposed equations (Redfield, Lindblad...) was the most
correct and general equation in the Markovian regime. Both are special
cases derived from canonical science and valid in special dynamical
regimes. Application of those equations outside of their limit of
applicability is the basis for the unphysical behaviour detected:
negative probabilities or violation of translational invariance.
ii)
On the way to solve quantum measurement. Now we can derive Martingale
models are being used in the modelling of quantum measurement. Since
models and related equations (e.g. the so-called generalized
Schr=F6dinger equations) are *derived* instead of postulated we can
outline the limits of applicability and identify the suppositions and
approximations taken in the approach.
iii)
Clasicality. A popular approach to the description of emergent
classical states from a priori quantum ones has been via the
reformulation of quantum mechanics in terms of Wigner symbols. The
resulting generalized equation is then studied in the limit when the
Planck tends to zero.
However this adds two well-known problems. The former is that the whole
formalism is not axiomatic and relies on previous knowledge of
classical systems (i.e. reformulation in phase space).
The other problem is in the interpretation of distribution functions
for the states.
The new approach promises to solve both problems at once. The doubling
of number of state variables is just a dynamical effect when taking the
limit of very big systems and would explain why the Moon needs both q
and p, whereas q works well for the electron of the Hydrogen atom.
Moreover, the new state functions are positive probability functions
unlike Wigner ones.
Of course, this novel approach may be still verified by the rest of
community, but it opens an interesting new way to think that would
offer us interesting findings.
Source:
http://canonicalscience.blogspot.com/2006/05/unravelling-quantum-measuremen=
t=2Ehtml
--
Juan R.
Center for CANONICAL |SCIENCE)
.
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