[time 600] About the paper of Mackey

Matti Pitkanen (matpitka@pcu.helsinki.fi)
Tue, 24 Aug 1999 09:34:27 +0300 (EET DST)

Hi Stephen,

I looked for the paper of Mackey in LANL. I am not sure
whether the paper is the same that you were referring to
in your recent posting. Actually this seems not to be the case. Not a
single word about God theorem! I am not even sure about Mackey: is
it really same person(;-)!

The aim of this Mackey seems simply to
reproduce dissipative effects of particle physics described
phenomenologically by the decay width Gamma identified
formally as imaginary part of energy. More generally, he
tries to formally reproduce basic phenomenology of dissipation
in systems having no interactions with external world.
sSlves defined as subsystems able to remain unentangled
are effectively this kind of systems although actually interaction
with external world can occur during time development U.

In TGD framework unitary time development U lasting for
infinite time interval (-infty,+infty) having nothing to
do with psychological time experienced by selves nor
with lightcone proper time (as I erraneously assumed for long
time) occurs in each quantum jump. Quantum jump
corresponds to average increment of 10^(-40) seconds
of psychological time. The time development of
self performing quantum jumps, involves thus
crucially the quantum jump aspect and Schrodinger equation
does not provide description for time scales larger than 10^(-40)

This is of course taken into account automatically
in applications of QM. S-matrix determines only scattering
rates and scattering rates are applied to kinetic calculations
assuming effectively that interaction time goes to zero (good
approximation since it corresponds to 10^(-40) seconds!)

>From TGD point view Mackey's approach would mean simply replacement
of time development by quantum jumps with single Schrodinger time
development for which energies become complex: E-->E+iGamma. This is trick
can mimick some aspects of dissipation like particle decay.


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