**Matti Pitkanen** (*matpitka@pcu.helsinki.fi*)

*Wed, 16 Jun 1999 13:04:27 +0300 (EET DST)*

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Dissipation as direct evidence for quantum jumps

between histories concept

The phenomenon of dissipation is paradoxal from the point of view of

standard physics. It is generally accepted that fundamental laws of

physics are reversible but everyday reality is manifestly

irreversible. Thus the situation is rather scitzophrenic. Two worlds,

the reversible and extremely beautiful world of fundamental physics

and the irreversible and mathematically rather ugly 'real' world,

seem to exist simultaneously. The description of dissipation is

highly phenomenological: one introduces mathematical monsters like

non-Hermitian Hamiltonians; in particle physics particle decay widths

are introduced by making energies complex; in macroscopic length

scales one introduces parameters like friction coefficients,

viscosity, diffusion constants, etc.. The mathematical beauty of the

reversible world is lost and dissipation becomes an unavoidable

nuisance of physics, which perhaps explains why so little conscious

thought is devoted in the attempts to understand why these two worlds

seem to co-exist.

1. Replacing sequence of quantum histories with single

dissipative quantum history

This scitzophrenic world picture is of course logically

inconsistent. Something in the implicit assumptions underlying this

paradoxal world view must be wrong. Quantum jump between quantum

histories concept indeed resolves the paradox and explains the

apparent existence of two worlds as resulting from a wrong view about

psychological time. Without quantum jumps there would be single

reversible reality behaving determistically and there would be neither

dissipation nor consciousness. Quantum jumps between the reversible

realities however cause dissipation, which can be more correctly

seen as a self organization via quantum jumps and as a necessary

prequisite for evolution and consciousness. The source of all the

ugly mathematics related to the description of dissipation is the

failure to realize that there are two time developments: subjective

time development proceeding via quantum jumps and geometric time

development described by the dynamical equations without dissipation.

The ugly dissipative terms in dynamical equations result, when the

sequence of quantum jumps between time developments is replaced with

single dissipative time development.

2. Disspation as approach to fixed points, limit cycles, ..

in the space of quantum histories

Dissipation can be seen as a phenomenological description for the

tendency of the self-organizing development by quantum jumps to lead

to fixed points, limit cycles, limiting tori, strange attractors,

etc.. in the space of quantum histories. Hence the study of chaotic

dissipative systems could be also seen as a study of the

phenonelogical descriptions for the asymptotic behaviours yielded by

the time development by quantum jumps. It is not of course clear

whether this kind of effective description really works always or

whether one should replace it by a genuine quantum description

under some circumstances.

Consider as an example the description of a self organizing system

using Haken's theory of self-organization relying on the hypothesis

that system's states correspond to the minima of free energy

function. Free energy depends on external parameters. When the

value of some external parameter becomes critical, large fluctuations

in long length scales occur and new level of self-organization with

new length scale emerges or disappears in a phase transition like

manner. For instance, potential well can split into two potential

wells and system selects either well. This suggests that near the

critical values of the external parameters quantum statistical

determinism and hence also effective description fails at macroscopic

length scales. The catastrophic changes in system's behaviour could

correspond macroscopic quantum jumps. Biosystems obviously provide

excellent candidates for critical systems. Since TGD:eish Universe

is quantum critical, any subsystem is basically critical system: only

the time scale of the critical fluctuations determines whether given

system looks critical from human point of view.

Dissipation can be seen as an extremely concrete proof for the

hypothesis that quantum jumps between quantum histories occur all the

time. However, to possibly convince colleagues about this, very

delicate experiments must be invented (say tribar effect testing the

new concept of psychological time described in the chapter 'Matter,

Mind, Quantum' of 'TGD inspired theory of consciousness..' at

http://www.physics.helsinki.fi/~matpitka/cbook.html)! The crucial

demonstration is however at the level of mere logic: 0 and 1 are the

numbers needed, no experiments testing 10:th decimal for some

quantitative prediction are needed.

3. Dissipation as a direct signature of consciousness

Dissipation can be seen also as direct signature of consciousness.

Any system, which has ability to dissipate, to grow older,

must have moments of consciousness in some length scales.

Living systems are not the only systems growing old.

Buildings and cars and computers grow old.

Hydrodynamic flow without external energy fieed

gets older by gradually losing its velocity- (and Z^0 magnetic-)

vortices. The rate of the energy loss by dissipation could be even

seen as a rough measure for the level of consciousness.

The crucial question is however in which length scales

quantum jumps occur: does all the dissipation occur in

atomic length scales as standard physics strongly suggests or are all

length scales involved as quantum criticality of TGD and new TGD based

spacetime concept suggest.

Hydrodynamic flow is especially interesting example in this respect.

The TGD based model for turbulent flow [see the chapter

'Hydrodynamics and CP_2 geometry' of 'Topological Geometrodynamics' at

http://www.physics.helsinki.fi/~matpitka/tgd.html]

with external energy feed assumes that dissipation

occurs in all length scales: the decay of vortices of given

radius to smaller vortices should therefore involve primitive

consciousness in the length scale of the vortices.

In turbulent flow with external energy feed there is

stationary energy flow between spacetime sheets of various

sizes and this means that the level of consciousness, if indeed

measured by energy dissipation, is same at various

p-adic length scales involved.

The crucial role of the classical Z^0 field and low energy neutrinos

in TGD based description of condensed matter and biosystems suggest

that neutrinos and Z^0 fields might provide hydrodynamical

flows with rudimentary cognitive consciousness. In this

picture life as we know it, is a result of continual quantum

self-organization of the sea water: indeed, we

are 70 per cent of sea water.

With Best,

Matti Pitkanen

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