Memorandum submitted by Cyril W Smith
1. Homeopathy involves frequencies and their
effects on living systems.
2. Clinical evidence comes from hypersensitive
patients whose reactions can be treated with specially prepared
3. Homeopathic potencies involve the memory
of water for frequencies.
4. A theory based in quantum physics is
supported by experimental evidence.
Homeopathy is one of the branches of Complementary
and Alternative Medicine which involves the therapeutic use of
frequency. For at least the past 60 years, the promulgated
and accepted wisdom is that the only biological effects of non-ionising
electromagnetic fields are thermal and as such can be reliably
predicted from "Classical Physics". One must conjecture
that the motives for this have been military, commercial and legal.
The majority of healthy persons have regulatory systems well able
to cope with the natural and man-made electromagnetic environment
as with other environmental stresses so, any frequency effects
are not apparent.
Since the 1970's the writer (Smith, 2008) has
been involved with research into the ways that living systems
make use of electric and magnetic fields and frequencies and has
over 100 publications in this area. In 1982, he commenced
an involvement with the problems of chemically sensitive patients
who had become hypersensitive to their electrical environment.
This work quickly showed that once a threshold of intensity had
been exceeded, the relevant factor was frequency. Initially, patients
were challenged with frequencies from an oscillator at environmental
field strengths. Their reactions to specific frequencies were
the same as their reactions to the chemicals, volatiles or particulates
to which they happened to be sensitive.
The "Miller Technique" used in the
treatment of such patients involves successive serial dilutions
of the allergen until one is found which turns-off the patient's
reaction. This needs to be more precise than the standard homeopathic
potencies. Here, succussion takes place by vortexing in the syringe.
For the treatment of electrical sensitivities a therapeutic frequency
could be found, imprinted into water and used in the same way
as an allergen dilution even though there was no chemical component
present. This fitted conveniently into the existing facilities
and practice of the hospital involved (Breakspear Hospital, Hemel
Hempstead) and did not require an electrical oscillator for each
patient. Rea et al. carried out a double-blind trial at
the Environmental Health Centre, Dallas, Texas. Selected patients
with electrically sensitivity could respond to a frequency to
which they happened to be sensitive with 100% success and 0% response
Examination of frequencies which had a clinical
effect showed a correlation with the endogenous frequencies on
the acupuncture meridians. When an acupuncture point is stressed
either by pressure or with a needle, its endogenous frequency
spreads throughout the body. Appropriate choice of meridians and
points enables the acupuncturist to create a therapeutic frequency
pattern from the patients own body fields. Dr. Reinhardt Voll
showed that certain acupuncture meridians were linked to the autonomic
nervous system (ANS). Homeopathic potencies can be selected to
stimulate specific acupuncture meridians and thence specific parts
of the ANS.
2. THE PHYSICS
2.1 Frequency, Coherence and Fractality
Figure 1 shows the quantities associated
with frequency irrespective of what is oscillating. If a frequency
is propagating through space, there is a velocity and an associated
The importance of frequency in biological systems
was recognised by Herbert Frühlich FRS (Smith, 2008) who
in the 1930's when told that the cell membrane potential was a
fraction of a volt and existed across an extremely thin cell wall
realised it represented an enormous electric field, strong enough
to align molecules for assembly and resonating at about 100 GHz.
By 1967, he had applied the theory of coherent modes of oscillation
in non-linear systems and long-range phase correlations to biological
order. The subsequent development of his ideas and the work of
his world-wide circle of collaborators were edited by him into
two "Green Books": "Coherent Excitations
in Biological Systems" and "Biological Coherence and
Response to External Stimuli".
In 1995, Preparata with Del Giudice and co-workers
showed through quantum electrodynamics (QED) theory that water
had phase coherence as a fundamental property arising from the
exchange of radiation at the natural resonant frequencies of the
water molecule. In a coherent system, the distance over which
frequency coherence persists (coherence length) replaces
velocity as the constant quantity making frequency proportional
to velocity (see Figure 1) and a fractal quantity. Fractality
enables the chemical, technological and biological frequency bands
to interact. Table 1 shows the frequency fractals for light
from a mercury discharge lamp imprinted into water. If the chemical
bond was not associated with frequency, spectroscopic analysis
would be impossible. Chemistry cannot be described by "Classical
In mathematics, a field is a region of
space containing mathematical objects, rather like the "field
of view" seen with binoculars. In physics, a field
is a region in which a mechanical force acts, for example the
The "Classical Electromagnetic Field"
is the basis of electronics and radio. "Classical Physics"
describes a system for which the phase is well defined and the
number of particles (quanta) is too large to matter. In contrast,
a "Quantum Field" involves less particles and has a
fundamental uncertainty described by the Heisenberg Relation (Smith,
These fields can be electric or magnetic. The
magnetic field only exists in closed loops and a mathematical
consequence is the magnetic vector potential explained theoretically
by Aharanov and Bohm and later found experimentally. This generates
an electric field proportional to its frequency and in a coherent
region this gives an oscillating potential which can be measured.
3. THE PHYSICS
One important result from our clinical work
was finding that the reactions of patients to environmental electromagnetic
fields, chemicals, or potencies could be reproduced with frequency
imprinted water. Water in flame-sealed glass ampoules could be
imprinted with frequencies through the glass and no possibility
of any chemical contact. This confirmed the basis of homeopathy
as frequencies in water.
In 1983, my laboratory (Smith, 2008) showed
that living systems could respond to magnetic resonance conditions
at geomagnetic field strengths. This is a quantum effect but following
its publication a cyclotron theory attempted to the keep the effects
within "Classical Physics".
Later this suggested that a frequency might
be retained in water if the precession of proton spin could be
synchronised to an applied frequency to generate an internal magnetic
field which exactly satisfied the proton magnetic resonance conditions
locally within a coherence domain. This condition turned out to
be independent of the frequency to be remembered and would be
stable unless the domain is thermally broken up by removing the
stabilising geomagnetic field. The critical field for this is
about 340 nT making the coherence domain 53 µm
in diameter. The statistical fluctuation in the number of protons
involved determines the bandwidth of the frequency imprint which
can be parts per million in agreement with experiment.
Imprinting a frequency into water immobilises
free protons increasing the pH value. Figure 2 shows the pH of
a solution of sodium hydroxide at pH 8.01 had increased to
pH 8.05 at memory saturation after 377 separate frequencies
had been imprinted. On erasure the pH returned to its initial
3.1 Writing Frequencies into Water
Frequency information can be imprinted into
a glass vial of water by succussion. This is what creates a homeopathic
potency. Frequency information from a patient's body also can
be imprinted if the vial is held in a clenched fist while succussing
the protruding end.
Imprinting can take place through the glass
of a vial containing water by immersing it in frequency imprinted
water. Water placed near to a source of frequencies such as an
oscillator and coil, a chemical or homeopathic potency can be
imprinted by succussion or, with a strong permanent magnet or,
by succussing a toroid (ring) of ferrite material. A sequence
of 7-voltage pulses will effect an imprint; imprinting can also
be done chemically.
3.2 Erasing Water Memory
A homeopathic potency or a water imprint will
be erased if the geomagnetic field is shielded by placing it briefly
in a steel box. Erasure occurs when thermal energy becomes greater
than the internal magnetic energy. This threshold, at about 1%
of the Earth's magnetic field, is independent of the imprinted
frequency over at least the 13-decades from 10-4 Hz to 10+9 Hz.
Heating imprinted water alters the imprint so that it becomes
"hidden" and living systems do not recognise it. It
can be recovered by the application of certain frequencies including
that of the heart acupuncture meridian. Certain combinations of
frequencies will self-erase, that is they are "nilpotent".
3.3 Reading Water Memory
Frequencies in water and living systems present
a great measurement problem. Clinically, they may be anywhere
in the electromagnetic spectrum from milliHertz to GigaHertz and
the bio-information is carried on the magnetic vector potential
component of the field.
Several techniques have been applied to the
objective measurement of frequencies in water and homeopathic
potencies. They can be made to work over a limited range of frequencies
1. Electrodes immersed in water or a potency
and connected to a low-noise high-gain amplifier have been used
by the writer and Dr. Wolfgang Ludwig.
2. Dr. Peter Gariaev has used a special 2-beam
laser interacting with a potency; this results in the emission
of a radiofrequency modulated with the signature of the potency.
3. Professor Vittorio Elia has used microcalorimetry
to show a difference in heats of mixing between control water
and a potency and in cooperation with Professor Claudio Cardella
has shown the same effect with water imprinted by placing in a
4. Dr. Karen Langer has used both delayed luminescence
and also the coupling between Tesla coils to demonstrate effects
5. Dr. Louis Rey has irradiated samples with
high energy ionising radiation after freezing and on warming found
differences in the thermoluminescence between potencies and controls.
6. Professor Luc Montagnier has shown that some
DNA sequences in pathogenic bacteria and viruses have a characteristic
frequency signature even at high dilutions of agitated aqueous
The magnetic vector potential (A-field)
component is in the direction of a current ie the proton precession
and since dA/dt = -E an
alternating A-field will generate an alternating
E-field proportional to the frequency and an alternating
potential in a coherent system. This is not a potential difference.
It is in effect what electroacupuncture apparatus does without
explaining the physics involved.
The frequency pattern of homeopathic phosphorous
C6 tablets is shown in Table 2. Figure 4 shows this resonance
measured with a low noise amplifier and phase sensitive detector
(Brookdeal Electronics Ltd. LA350). The tablets were placed in
an electroacupuncture brass beaker. The frequency was stepped
manually in 1 Hz intervals to show the beats between the
potency resonance and the reference frequency. The chart speed
3.4 Chemical Frequency Signatures
Homeopathic potencies start from a "Mother
Tincture" which is usually of chemical or biological origin.
Its chemical frequency signature is all that is needed for
potentising. A homeopathic repertory shows the wide range
of frequency templates available for potentisation.
Experiments with n-hexane showed that only 14 ppm
of water is needed for a frequency signature to develop. Since
the n-hexane spectrum is in the far-infra-red (FIR), water can
only interact here. Of the many FIR water lines a few (357 cm-1,
213 cm-1 and 128 cm-1) are coherent enough for a water
vapour laser and for "water memory". The chemical frequency
signatures calculated for n-hexane were as measured. The same
calculation applied to pairs of FIR water lines gave the measured
frequency signatures of water. When a frequency is imprinted into
water, the FIR frequencies develop two sidebands proportional
to the imprinted frequency with corresponding fractal sidebands
in other parts of the electromagnetic spectrum.
When a single frequency is imprinted into water
which is then serially diluted, the original frequency disappears
to be replaced by the original frequency multiplied by the dilution
ratio. Not all dilution ratios do this, some have no effect, others
erase everything. Patterns developed from frequency signatures
may be more complicated.
Figure 5 shows the frequency pattern for a set of potencies
of thyroxin. It demonstrates the frequency basis for potentisation
of homeopathic remedies. Frequency erased water was imprinted
with the complete pattern of frequencies previously determined
for thyroxin of potency D15. This was then potentised by conventional
dilution and succussion. The frequencies measured for each synthesized
potency were exactly the same as those for the potencies prepared
from the "Mother Tincture" chemical thyroxin. Yet, the
synthesized potencies had started from nothing but water. There
is no discontinuity at potency D24 the dilution at which
no molecule of an original substance should remain (Avogadro's
The frequency signature of chemicals must apply
to pharmaceuticals which must also have a homeopathic activity.
Table 4 compares aspirin and aconite; combined they would
stimulate the Du Mai meridian.
Between the states of health and disease there
may be a state of mathematical chaos (Smith, 2009). Chaos has
been demonstrated in respect of the cardiac signal of a healthy
human as well as in electroencephalograms, epidemics, fluid flow
and oscillatory chemical reactions. A chaotic system eventually
settles down to its "attractor"a stable condition
that may be a point focus or a limit-cycle oscillation. From the
clinical and homeopathic point of view, any experiment involving
a patient in a chaotic domain is non-repeatable from the same
initial condition. Homeopathy can operate in the chaos region
to switch a patient back from chaos to health.
Hahnemann wrote, "
that for the totality
of symptoms to be cured, one must seek that medicine which has
demonstrated the greatest propensity to produce either similar
or opposite symptoms".
Frequencies patterns are generally biphasic
showing alternately stimulation and depression of biological activity.
Endogenous frequencies in biological systems fluctuate around
their nominal value in a quasi-periodic manner which may be chaotic.
Frequencies of acupuncture meridians can be entrained by homeopathic
potencies which may stimulate or depress biological activity and
hence can be "therapeutic" or "proving". Chronic
exposure to frequencies can result in "proving" symptoms
which may become indistinguishable from a disease state.
In Table 5, the frequency pattern from a patient
is compared to the frequency pattern of the homeopathic potency
Lachesis C200 which may be the patient's similiter.
The theory of homeopathy has implications for
both alternative and orthodox medicine and the chemical and electrical
environments. It challenges convenient and comfortable paradigms.
Smith CW (2008) Frühlich's Interpretation
of Biology through Theoretical Physics. In: Hyland GJ and
Rowlands P (Eds.) Herbert Frühlich FRS: A physicist ahead
of his time. Liverpool: University of Liverpool, 2nd edition,
Smith CW (2009) Can Homeopathy Ameliorate Ongoing
Sickness? The Journal of Alternative and Complementary Medicine
(May 2009), Vol. 15, No. 5: 465-467.
The writer is a scientific consultant for the
Breakspear Medical Group Ltd. and does measurements for them and
other medical practitioners.
Cyril W. Smith, BSc (London
& Exeter); PhD, DIC (Imperial College, London); CEng, FIET;
CPhys, MInstP; MIPEM; Life SMIEEE