| ABSTRACT
This paper is a sequel to the previous one in the November 2006
newsletter. It presents a new account of the life force using holistic
physics discussed in the previous article. Further articles will
develop this in ways compatible with Hahnemann's understanding of
life force into a new theory of homeopathy. The new theory is based
on rigorous physics, filling gaps in quantum field theory and instability
physics, and extending well known concepts in economical ways .
Practice of forms of medicine using a concept of the life force
is widespread. In general, considerable success is achieved. The
life force is therefore a concept that should be considered in terms
of modern science, despite failure of previous attempts that resulted
in its rejection as a scientifically valid concept. New physical
theories, particularly those involved in the description of complex
systems, now make it possible to formulate a useful theory agreeing
in its broad outline with descriptions from Naturopathic medicine.
A basic form of such a theory is described herein. A later article
will extend the theory to the concept of healing crisis, also fundamental
to Naturopathic medicine.
INTRODUCTION
The life force, or vis vitalis, has been recognized, valued and
cultivated as long as man has been concerned with maintaining health
and well-being. Its consideration forms an integral component of
all traditional systems of medicine, both in the east and the west.
In the orient it is called 'Qi' (pronounced 'chi') (1) and the ways
its different aspects flow throughout the body form a study of almost
endless refinement.
This paper develops a theory of the life force which can be used
in accounts of how homeopathic remedies restore health. It constitutes
a first step to developing a full theory of what is involved in
the biology of homeopathy at the level of the cell. The actual theory
of homeopathy will take several more articles to develop in full,
and will show how homeopathic remedies both act as means to strengthen
the life force, and as specific switches at a quantum level to facilitate
the return of the physiology to health from a specific state of
pathology.
The western system of medicine, which, in its present practice,
takes most inspiration from Hippocrates is Naturopathic medicine
(3). To that we should look to learn how the life force functions
in the physiology. The principle, which governs naturopathic medicine
is that if the life-force is strong, disease will not arise, while
if the life-force is weak, a person will be susceptible to falling
ill. Conversely, strengthening the life force in a sick person will
help bring about cure, and may even restore a person in weak health
to strong health. All the success achieved over the centuries by
Naturopathic medicine was based on this principle of strengthening
the life force.
THE LIFE FORCE AND REGULATION
The corresponding observation in modern biology and aetiology –
the study and theory of the onset of disease – is that if
regulation of an organism is effective, the physiology will adapt
properly to ongoing conditions, otherwise adaptation will be poor,
and maladaptation is liable to occur. In the theory of stress formulated
by Hans Selye, the originator of modern theories of how stress leads
to disease, maladaptative responses are recognized to be a watershed
on the road to a person (or organism) beginning to fall sick –
they represent the breaking point on the path to ill health (4).
These two approaches to describing health and sickness can be brought
into harmony, if the life force is considered to be concerned with
organism regulation (5): a strong life-force means more effective
regulation, while a weak life-force means lack of adaptive energy,
increasing the possibility of a maladaptive response. This therefore
is the starting point of our investigation of the life-force: a
strong life force means more effective regulation, while a weak
life-force will leave the organism susceptible to maladaptive responses,
regulatory failure, and the onset of pathology.
A model of the life force with precisely this property has been
proposed as part of the elementary description of regulation and
regulatory failure in chemical terms (6). The elementary property
of regulation is the ability to switch processes On or Off. In chemical
systems, such as the biochemical reactions and pathways in living
cells, regulation may be effected by switching biochemical processes
on and off by chemical means. Switching on a particular biochemical
reaction is usually done by activating or producing an enzyme catalyzing
the reaction. The enzyme goes from low (or zero) concentration,
to a finite concentration, as do the products of the reaction.
PHASE TRANSITIONS AND CRITICAL POINTS
In chemical systems, when the concentration of some chemical changes
by a finite amount, it is considered the same kind of process as
when a single chemical abruptly changes concentration by a finite
amount – its density changes. Such changes in density only
occur with a change of phase, as when the single chemical goes from
being a solid to a liquid, or from a liquid to a gas. For this reason,
even in complex systems of thousands of differently structured chemical
molecules such as occur in a cell, switching a biochemical process
from an Off state to an On state, and vice-versa, constitutes a
'phase transition'. Its chemical physics comes under the general
area of phase transitions, and its properties will be those common
to phase transitions. In the case of the living cell, however, the
fact that life is maintained far-from-equilibrium creates an important
difference, which turns out to play a key role in the new picture
of the life force – phase transitions in non-equilibrium systems
differ in significant ways from phase transitions in equilibrium
systems. For example, the energy flowing through a non-equilibrium
system can be used for creative processes, in the same way changing
patterns of eddies and whirlpools are created in a flowing river
or stream (7).
Phase transitions occur when some measurable quantity changes abruptly
by a finite amount, a chemical concentration in chemical systems,
the amount of magnetization in a magnet, or the electrical conductivity
in a superconductor. Many if not most kinds of phase transition
cease when the quantity that changes discontinuously at the phase
transition ceases to change by a finite amount, and the two phases
become the same. This is called the 'critical point' and occurs
at a definite temperature (8). Thus magnets ceases to be 'magnets'
above their 'critical temperature', different temperatures for different
magnetic materials. Similarly for superconductors, they too have
critical temperatures above which each superconductor ceases to
be superconducting.
At their critical point, all materials enter an unstable state
in which they cannot decide which behavior applies, whether or not
to be liquid or gas, superconductor or magnetic. In the case of
critical points of single chemical, liquid-gas phase transitions,
the unstable, critical state is spectacular. Density fluctuations
arise, which, being on huge scales compared to the constituent molecules,
scatter light very strongly. The fluid goes from being transparent
to opalescent – with a similar quality to an opal, shimmering,
almost iridescent.
THE PHYSICS OF THE CRITICAL STATE
Critical opalescence occurs because the normal forces, which restore
density to its equilibrium value no longer operate. Such forces
give rise to sound waves – phonons – in the fluid. As
the restoring forces cease to function at an instability, so do
the phonons – sound does not propagate by the usual means
through a fluid at its critical point. Even density is no longer
an observable quantity at the microscopic level. As a quantum property
it ceases to be defined. Criticality is truly a strange phenomenon
– far stranger even than has yet been told in texts on the
subject (8).
What takes over at a critical point are the 'density fluctuations',
and these can be investigated not just with light (photons), but
with electrons, protons and neutrons – all kinds of quanta
can be scattered off them to investigate how their energy spectra
depend on their wavelength. Scattering various kinds of quanta off
critical fluctuations leads to the conclusion that they exist as
quanta – albeit with unusual properties (9).
Our general understanding of physical systems leads to a similar
conclusion. Any physical system has a certain number of degrees
of freedom, which are roughly fixed as three times the number of
particles making up the system. In a gas, these degrees of freedom
are distributed between various kinds of degrees of freedom:
- those of the motion of the molecules – one for each of
the three dimensions of space – known as 'translational'
degrees of freedom;
- rotational degrees of freedom for poly-atomic molecules, usually
three, but linear molecules like O2, CO2 or acetylene only have
two rotational degrees of freedom;
- the degrees of freedom of modes of internal vibration of each
molecule; and
- the degrees of freedom of the modes of collective vibration
of the gas – its phonons or sound waves, which arise because
collisions between gas molecules give rise to a finite mean free
path and curtail the effective number of degrees of freedom of
the translational modes.
In general, for a body of fluid of N molecules consisting of n
atoms in each molecule, there will be a total of 3nN degrees of
freedom. Of these 3N are distributed between translational and collective
vibration modes. The rotational and vibrational modes make up the
rest: another 3N for the rotational modes, and 3N(n-2) for the vibrational
modes, except for exceptions where n = 2, or the molecule happens
to be linear. These account for many of the degrees of freedom of
the molecules constituting the fluid.
At a critical point, molecules have to be quite close together
for their attractive forces to become effective. This means that
the mean free paths are short, and translational modes are severely
curtailed. The number of vibrational, collective modes is therefore
very large, but have become unstable because of the special physical
conditions giving rise to criticality. The only recipient for the
extra degrees of freedom, and the energy they must inevitably contain,
are the critical point fluctuations.
As far as is known in physics today, any energy-containing degree
of freedom must be described by quanta of different possible frequencies
n obeying the fundamental quantum law discovered by Max Planck,
E = hn (10), otherwise the law of conservation of energy will not
hold. For this fundamental reason, critical fluctuations should
be associated with energy containing quanta – quantized fluctuations
REGULATION, FEEDBACK INSTABILITY AND METASTABLE
STATES
The next step is to understand a further connection between phase
transitions and regulation, this time associated with instabilities.
For regulation of a process to take place, information about its
products has to be received by the regulatory system. This creates
a 'feedback loop', something known to create the potential for instability.
It is therefore true to say that, whenever there is regulation,
under some condition, the regulated system may become unstable.
One side of the instability, there will be a phase transition –
that between the regulatory systems 'On' and 'Off' states. On the
other side of the instability, the transition will be smooth –
a 'soft' change from On to Off. At the instability itself, there
will be critical fluctuations, which, as we shall see, create the
possibility for a more finely regulated, smoother transition.
A much-utilised property of phase transitions is that it often
takes time for a transition from one state to another to get started.
Although a system may enter a physical state where a phase transition
would be expected to occur, local conditions may not favor its initiation.
Classic cases in liquid gas transitions are where the curvature
of surface a nano-droplet of liquid effectively increases its tendency
to evaporate – so even if such nano-droplets form, they have
difficulty growing to a macroscopic size. Similarly a tiny bubble
of gas forming in a liquid has to supply the extra surface tension
energy of the liquid surrounding the bubble (an energy per unit
area); this again forms a barrier preventing large bubbles of gas
from forming.
In such cases, the system is said to enter a 'metastable state'
– a metastable state of the gas in the first example, and
a metastable state of the liquid in the second example. In such
systems, special conditions may be needed to help the phase transition
take place against the barrier keeping it in its metastable state
– for example, an electric charge to act as a focus on which
the new phase can form. Both these examples of metastable states
have been used in famous scientific instruments – the Wilson
Cloud Chamber used the first to detect the passage of particles
such as cosmic rays, because cloud droplets form on electric charges
left along the paths of charged cosmic ray particles as they remove
electrons from nearby molecules. Similarly, Donald Glaser's liquid
hydrogen Bubble Chamber gives rise to a line of bubbles along the
path of charged particles moving through it. In both cases, a change
of pressure causes the fluid (gas or liquid) to enter a metastable
state, which is photographed before a phase transition has had time
to take place naturally. In these circumstances, the only bubbles
are those along the paths of charged particles moving through the
fluid, so it is these that show up on the photographs.
When a system is at or close to its critical point, such metastable
states are impossible. This is because critical fluctuations, or
their residue mix the two phases, and prevent them from being separate.
To see a distinct phase transition, it is therefore necessary for
a system not to be too close to its critical instability point.
However, in biological systems, this may have its disadvantages.
The phenomenon of metastable states is extremely widespread. It
is almost impossible to have a phase transition without the possibility
of metastable states arising. Under these circumstances, if a normal
phase transition separated a biological regulatory system's On and
Off states, metastable states would form for some periods of time.
These would block switching process phase transitions, and cause
maladaptation: when an organism wants to switch a required enzyme
process On, it would take a long time to respond, or might not even
happen at all. Metastable states could decrease reliability of regulation
making it potentially problematic.
A MODEL FOR STRESS
An obvious way to avoid the difficulty is for regulatory systems
to be centred on their critical points. Critical fluctuations facilitate
phase transitions to double advantage. First, metastable states
will be impossible, so maladaptation will not occur. Second, smoothed
phase transition processes increase precision of regulation. This
is because, at a critical point's quantum level, when two phases
are mixed by fluctuations, the fraction of one state or the other
can be accurately controlled – there will be a far finer degree
of control, than just On & Off like a light switch on a wall.
Also, in non-equilibrium systems, critical point fluctuations become
active quantities with a life of their own. This is due to the energy
passing through the system, on which they can 'feed', like the eddies
and whirlpools in a stream or river mentioned previously (11).
In a living cell, such far-from-equilibrium critical fluctuations
can actively smooth phase transitions from an Off state to an On
state (6). Any tendency for an organism's regulatory system to be
stuck in a metastable 'Off' state would be smoothed out by its critical
fluctuations. On the other hand, if the pressure of having to adapt
to external situations should cause the system to move away from
the critical state, the strength of the critical point fluctuations
will decrease and the possibility of the system becoming stuck in
a metastable state will arise. Maladaptation will again become possible.
The challenge is for system regulation to maintain itself close
to its critical instability, if and when adaptive pressure from
other parts of the system tends to move it away.
THE CRITICAL FLUCTUATION MODEL OF THE LIFE
FORCE
For these reasons critical fluctuations at feedback instabilities
of biological systems present a very attractive means of modeling
the life force or vis vitalis of the ancients. The reasons are as
follows:
1. Any On / Off switching process must be described by a phase
transition.
2. Away from the phase transition critical point, the possibility
of metastable states will always lead to a certain probability
of maladaptation.
3. Centered at the critical point, regulation will always be
reliable, and more precise.
Such regulation may be termed 'critical regulation'; the precise
condition for it to occur is for its feedback instability to be
an 'attractor' in the system dynamics. This starting point allows
many aspects of Naturopathic medicine to be modeled.
4. At a critical point, the critical fluctuations will be strong
– corresponding to a strong life force.
5. Equally, strong critical fluctuations will prevent metastable
states from arising, and accompanying regulatory problems.
If we equate regulatory critical fluctuations with the life force:
A strong life-force will enhance regulation
and keep it functioning optimally.
6. If the system tires and moves away from the critical point,
critical fluctuations become less and the system may become stuck
in a metastable state.
A weak life force gives rise to the possibility
of less effective, or poor regulation.
7. If a critically regulated system is allowed to rest, the system
will naturally gravitate to its critically regulated state.
Rest will naturally allow the life-force to
become stronger again.
This corresponds to 'rest cure', a well known naturopathic therapy.
Everything is done in Naturopathic medicine to try to allow the
life force to regain its natural strength through natural processes
– as far as that may be possible.
8. If other processes drive the system away from its critically
regulated state, then weakened critical fluctuations again allow
the possibility of metastable states and maladaptation to arise.
The effect of adaptive pressure will be to weaken
the life-force.
In this way, critical regulation of biological systems permits
scientific modeling of many aspects of the life force and its dynamics,
as they are known to occur from the millennia of experience of naturopathic
medical practice.
PROBLEMS WITH PREVIOUS MODELS
It is of interest to compare this model to previous attempts at
scientific models of the life force. Here, the main concern was
with life energy, which was equated with physical energy without
taking into account any influence it might have had on regulation.
In such models, since there was no regulation, there was no way
for a 'weakening' of the life force to directly lead to maladaptation
or other recognized precursors of pathology. It might be said that,
under the circumstances there was no concept of the life force constituting
the 'inner intelligence' of an organism. How this becomes possible
by including a quantum description of critical fluctuations will
be the topic of another paper.
Previous models limited their life energy concept to metabolic
rate and availability of ATP and energy rich molecules. Any chance
of it corresponding to known, 'postulated' properties of the ancient
vis vitalis were found impossible. This led to even the concept
being considered unscientific nonsense.
Since those dark, dark days of early to mid-twentieth century biology
and biophysics many new theories have arisen. Firstly, feedback
and regulation formed the basis of Norbert Weiner's famous development
of control theory (12). Secondly, the general theory of systems
(13) leads to a new, far more realistic way of thinking about living
organisms. Thirdly, the study of instabilities in chemical systems
(14), and in particular of instabilities and symmetry breakdown
in cyclic systems of chemical reactions far from chemical equilibrium
(15), led to new understandings of what may be involved in morphogenesis
and structural development in biological systems. Fourthly, the
elucidation of phase transitions in many different kinds of system,
and the properties of their critical points led to deeper understanding
of their highly unusual behavior (8). In particular, mathematics
from elementary particle physics – the renormalization group
– was used to elucidate details of anomalous ways various
quantities approach the critical point (11). Finally, critical behavior
has come to be seen as far more general and far less specific to
particular systems. Many if not most systems evolve under the influence
of self-interacting chaotic forces, and the inevitable result of
such influences turns out to have a measure of critical behaviour.
This is the basis of the concept of 'self-organized criticality'
(16) that has overtaken studies in the physics of complexity in
recent years.
Critical regulation is an outgrowth of all these inputs. In the
absence of any one of them it would not possible. Since each represents
a major, if not revolutionary, advance in its own field, it is easy
to understand why a model for the life-force agreeing in so many
levels of detail was not foreseen.
When quantum theory is applied to critical point fluctuations,
further extraordinary results appear. Quantum theory often produces
anomalous unexpected behavior, particularly in complex systems,
but also in simple matters like forces between particles. It has
been developed and applied in many different ways – to lasers,
to super-conductors, to unify and superunify forces between elementary
particles, and to explain how some forces such as the strong force
can go on getting stronger as the particles being influenced are
moved further apart – the idea that a force gets weaker with
distance, as do electric, magnetic and gravitational forces, turns
out to be the exception rather than the rule. Similarly unusual,
anomalous behavior comes to light when quantum theory is applied
to critical instabilities – but that is another story.
SUMMARY
In summary, critical instabilities, which must occur in biological
regulatory systems, have fluctuations that can influence metastable
states blocking regulation in ways parallel to properties of the
life force in Naturopathic medicine. They can therefore be used
to create a physical picture of it from the perspective of physical
chemistry. The resulting scientific model of the life-force has
many advantages over previous attempts to model it (17).
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