1. Introduction
Encouraged by the interesting set of papers/interviews on
Agro-Homeopathy in the December 2008 issue, I have sorted
out some material on the geomagnetic sensitivity of plants
from the past and added some measurements on plants and their
interactions with homeopathic potencies. The title I have
chosen for this is exemplified by the voltage waveforms of
the sensitive plant Mimosa pudica. They resemble action
potentials slowed down by a factor of a thousand or more.
I have re-considered the 1920’s discovery of mitogenetic radiation
by Alexander and Lydia Gurwitsch[1] in the ultra-violet, in the context of the fractality of frequencies
in coherent systems, which I have discussed in my Chapters
on “Homeopathy – How it works and how it is done”[2].
2. The Gurwitsch Onion Experiment
Gurwitsch postulated that some cells must be emitting light
which could regulate the rate of division of other cells.
To confirm this, he positioned the roots of two onions perpendicularly
and established that there was a relative increase in cells
on the side of the root which would have received the radiation.
The effect was blocked by interposing a piece of glass but
not by a piece of quartz which transmits in the ultra-violet.
I have found that plants seem to have the equivalent of an
acupuncture meridian, linking leaf and stem nodes, root branches
and root tips. The root tip is where the Gurwitsches found
mitogenetic radiation coming from. As described in Appendix
2, I thought that there ought to be lower frequency fractals
in addition to the ultra-violet.
To investigate this possibility, a bunch of spring onions
from a local supermarket was placed in water for 3 hours to
encourage growth and then their low frequency fractals were
measured. They were also checked for the presence of ultra-violet
by first covering the roots with a piece of glass (polished
borosilicate) and then with a piece of quartz (polished fused
silica); Table 1 compares the results.
Radiation from two of the onions from the bunch was transmitted
through glass. Radiation from eight onions was transmitted
through quartz but not through glass which is what Gurwitsch
found, but radiation from two onions was not transmitted through
either glass or quartz but only through air so it must have
been radiating in the far ultra-violet. The optical to ELF
frequency ratios at the glass and quartz limits are in good
agreement (6.14 & 6.17×1013). The corresponding
ratio for light irradiated water (Appendix 2, Table 1) is
8.25×1013, but this is for optical radiation imprinted
into coherent domains in water, not coherence domains in living
cells. Thus, it must be concluded that plant cells
can emit radiation well into the ultra-violet and this opens
up interesting photochemistry possibilities for living systems.
Table
1
Onion
Roots: ELF and Optical Effects Compared
| |
Onions
-
ELF
(Hz) |
Optical
to ELF
Frequency
Ratios |
| Transmitted
through |
12 |
|
| air,
glass and quartz |
13 |
|
| Glass
transmission limit
350 nm. 0.86×1015
Hz |
|
6.14×1013
|
| Transmitted
|
15 |
|
| through |
16 |
|
| air
and |
17 |
|
| quartz
|
18 |
|
| but
|
21 |
|
| Not |
23 |
|
| through |
24 |
|
| Glass |
25 |
|
| Quartz
transmission limit
180
nm 1.67×1015 Hz |
|
6.19×1013 |
| Transmitted
through |
28 |
|
| air
but not glass or quartz |
32 |
|
To investigate the effect of a homeopathic potency on this
radiation, the onion with an ELF of 17 Hz was selected. A
tablet of Phosphorous in the 6C potency which entrains a Poinsettia
to 50.01 Hz was placed on the onion roots. Within a second,
there was no longer any transmission through the quartz. Scaling
upwards from the ELF frequency for these roots the potency
should have moved the radiation up to 90 nm, which corresponds
to 11eV or 988 kJ/mol. This should not break up coherence
domains as it is still below the 13.6eV ionization potential
for water and the 12.06eV water line considered by Del Giudice
and Preparata as responsible for the coherence domains in
water which determine some of its basic physical properties.
Since the photon energy ratios are of the order of 1013,
any effect at this speed must be a quantum coherence effect
and not a classical energy build-up from many low energy quanta.
Energy would be supplied when the coherence is set up in the
first place.
3. Poinsettia
The meridian frequencies in a Poinsettia were imprinted into
water in a pipette at a leaf node by bringing a strong bar
magnet up close to the pipette tip (Figure 1). A pill of Sulphur
30C was then placed on the surface of the soil. This entrained
the meridian frequency from its endogenous value to the nearest
frequency of the Sulphur 30C potency. This was repeated on
three plants as shown in Table 2. The meridian frequency returned
to near its original value as soon as the potency was removed.
A pill of this same potency was “erased” by briefly shielding
it from the geomagnetic field in a steel box. This “erased”
homeopathic pill had no effect on the meridian frequency
when placed on the surface of the soil.
Figure 1
Poinsettia showing
Meridian Frequency Imprinting into a Pipette

Table
2.
Frequency
Entrainment by a Homeopathic Potency
| Frequencies
in Hz |
Poinsettia
#1 |
Poinsettia
#2 |
Poinsettia
#3 |
| Initial
frequency |
3.016 |
3.123 |
3.142 |
| With
Sulphur 30C |
0.3222
|
0.3222
|
0.3222
|
| Pill
removed |
3.112
|
3.117 |
3.121 |
Table 3 shows the three frequencies measured from a leaf
node of a poinsettia. These plant meridian frequencies are
highly coherent but, less so than the theoretical and experimental
bandwidths for a frequency imprinted into water. The response
to the homeopathic potency was instantaneous not 3.8 minutes
as in Table 3 so this was not a classical effect.
Table 3
Meridian Frequencies
and Bandwidths for a Poinsettia.
| Upper
Frequency |
Lower
Frequency |
Bandwidth |
Fractional
Bandwidth |
Time
Constant for Classical System |
| 170.69
mHz |
170.46
mHz |
0.23
mHz |
1350
ppm |
11.6
min |
| 3.2515
Hz |
3.2508
Hz |
0.70
mHz |
215
ppm |
3.8
min |
| 43.263
Hz |
43.257
Hz |
6.0
mHz |
139
ppm |
26.5
sec |
Table 4 extends the measurements in Table 2 to many of the
homeopathic potencies discussed in the December 2008 issue
of hpathy.com (i.e. as many as the writer had available).
They are not necessarily the potencies recommended in the
articles, but in general the higher potencies will contain
higher frequencies in addition to those of the lower potencies.
Only the lowest frequency fractal on the Poinsettia meridian
was investigated, in order to demonstrate the phenomenon of
entrainment.
The combination of CarboVeg. and Nux vom. giving 7.8 Hz
is quite remarkable. This is the endogenous frequency of the
heart meridian and is also a frequency of the Schumann Radiation
from the upper atmosphere under which life has evolved. If
it also decontaminates water, this is an added gift from Nature.
Table 4
Frequency Entrainment
of the Poinsettia Meridian by Homeopathic Potencies
| Homeopathic
Remedy |
Recommendations[3] |
Potency |
Frequency
(Hz) |
| |
Poinsettia’s
Endogenous Frequency |
|
3.113 |
Apis
For very thin plants due to high production,
varieties with low heat tolerance, low fertility of
pollen, falling off of flowers and fruits. |
6C |
0.4037 |
| Arnica |
For plants in mild climates (cold climate)
during heat periods, after elimination of buds, after
crops which have damaged branches. (Always when there
is a mechanical damage of tissues.) |
6C |
1.315 |
| Calcarea
carbonica |
For plants not responding to fertilization,
of slow growth, necrosis on the border of leaves. |
30C |
21.45 |
| Calcarea
fluorica |
For plants not responding to fertilization,
of slow growth, necrosis on the border of leaves. |
6C |
14.42 |
| Calcarea
phosphorica |
For plants not responding to fertilization,
of slow growth, necrosis on the border of leaves.
Hydric stress, apical decay in fruits, acute sensibility
after high production. |
30C |
20.02 |
| Carbo
vegetabilis |
For use after attacks of defoliating
insects, water deficiency, change of temperature,
flowers falling off, bud death, plants in compact
soil. To reactivate bio-fertilizers in a balanced
form. |
6C |
33.12 |
| Chamomilla |
For slowly growing plants, attacks
of mildew and other fungi. Rachitic plants. Interruptions
of growth. Delay in production. |
30C |
1.227 |
| Cina |
To control nematodes, plagues and bacteria. |
6C |
64.17 |
| Nux
vomica |
For plants intoxicated by agro-chemicals. |
200C |
0.5000 |
| Phosphorous |
Affects zinc and boron levels. |
6C |
50.01 |
| Silicea |
For slowly growing plants, attacks
of mildew and other fungi. Rachitic plants. Interruptions
of growth. Delay in production. |
6C |
3.617 |
| Staphisagria |
Attacks of plant louses (aphids), nematodes
or mites (acarians), for plants with excess of shadow. |
30C |
7.612 |
| Sulphur |
Excess transpiration, for plants demanding
fertilizers. |
30C |
0.3222 |
| Carbo
veg + Nux vom |
Carbo veg together with Nux vom decontaminate
water. |
6C
6X |
7.801 |
Table 5
Combination Law
for Frequencies
| Frequencies
Hz |
Carbo
veg. |
Nux
vom |
| |
1.522×10-3 |
5.000×10-1 |
| ¯ |
1.901×10-1 |
2.500×10+1 |
| |
3.312×10+1 |
2.500×10+3 |
| Effective
Frequency |
5.712×10-1 |
7.313×10-1 |
| Combined
Frequencies |
7.801×10
0 |
In my Chapters on“Homeopathy – How it works and how it is
done”2, the frequencies in potencies are seen to follow a
power law. The frequencies in Table 5 combine in a similar
way. The product of the Carbo. veg. and Nux. vom. frequencies
raised to the power of -2.352 gives 7.8 Hz. The frequencies
for Carbo. veg. (up arrows divided by down arrows) raised
to the power of 0.4215 gives the combined frequency. Similarly,
for Nux. vom. with the power -0.080. At present these powers
can only be determined empirically but they are what is measured
when the potency is placed in a Caduceus coil.
4. Fertiliser
Chemicals that can hydrogen bond to water generate a characteristic
frequency pattern. This applies to agricultural chemicals.
As an example, the nitrogenous fertiliser, “EC Fertiliser
Sulphate of Ammonia 20 (ammoniacal nitrogen 20.0%)” was selected.
It was obtained from a garden centre.
The frequency pattern of the sulphate of ammonia powder and
of a solution made up at the recommended liquid feed concentration
of 30gm/9litres was used in these experiments with a Poinsettia
plant. This chemical frequency pattern is shown in Table 6.
Table 6
Frequencies of
Sulphate of Ammonia both as Powder and at Liquid Feed Concentration.
= stimulatory (hyperactive);
¯ = depressive or stressful (hypoactive).
Frequencies are given
in Hertz (Hz) in scientific notation.
| Frequency |
| 3.502×
10-3 |
| ¯5.853×
10-2 |
| 6.743×
10-1 |
| ¯9.131×
10 0 |
| 4.000×
10+1 |
4.1 In Glass Jar Placed on Soil
The endogenous frequency of the Poinsettia’s meridian measured
at a leaf node was 3.115× 10-1 Hz. Placing some
of the sulphate of ammonia in a glass jar on the soil of the
plant entrained the meridian to 6.743× 10-1 Hz.
The same happened when a glass jar containing a solution of
sulphate of ammonia at liquid feed concentration was placed
on the soil.
The liquid feed concentration regarded as a Mother Tincture
was potentised[4].
The resulting frequencies are listed in Table 7. The initial
frequencies of the liquid feed concentration sulphate of ammonia
remained constant throughout and were as listed in Table 6.
Only those frequencies added through potentisation are shown
in Table 7. The higher fractal frequency on the Poinsettia
meridian was 24 MHz. This remained unaltered up the C200 potency.
The 1M potency entrained it to 30 MHz. All the lower potencies
and the Mother Tincture had no effect on the 24 MHz fractal.
Table 7
Frequencies Added
to those in Table 6 by Potentisations Shown.
= stimulatory
(hyperactive); ¯ = depressive or stressful
(hypoactive).
Frequencies are
given in Hertz (Hz) in scientific notation.
| Potency |
|
|
|
|
|
|
|
|
| C6 |
¯3.514× 10+2 |
4.516× 10+3 |
|
|
|
|
|
|
| C12 |
¯3.514× 10+2 |
4.516× 10+3 |
¯1.517× 10+4 |
7.0× 10+4 |
|
|
|
|
| C200 |
¯3.514× 10+2 |
4.516× 10+3 |
¯1.517× 10+4 |
7.0× 10+4 |
¯2.80× 10+5 |
1.06× 10+6 |
|
|
| 1M |
¯3.514× 10+2 |
4.516× 10+3 |
¯1.517× 10+4 |
7.0× 10+4 |
¯2.80× 10+5 |
1.06× 10+6 |
¯4.1× 10+6 |
3.0× 10+7 |
4.2 Watered on to Soil
Finally, 20 ml of the liquid feed concentration sulphate
of ammonia was watered onto the soil. This was compared with
watering 20 ml of a copy of its chemical frequency signature
on to the soil. In both cases, the endogenous frequency of
the meridian immediately became exactly that listed in Table
6 indicating that the plant had taken note of the change in
its nutritional environment and that this change was characteristic
of a nitrogenous fertiliser.
Table 8 compares the subsequent frequency patterns on the
meridian. At the half-hour point, the Poinsettia must be doing
something with the liquid feed whereas with the imprinted
water it is saying, “Have read the menu, where is the food?”.
Table 8
Frequencies on
the Poinsettia Meridian Following Watering with 20 ml of Liquid
Feed Sulphate of Ammonia and Frequencies Copied into Water.
= stimulatory
(hyperactive); ¯ = depressive or stressful
(hypoactive).
Frequencies are
given in Hertz (Hz) in scientific notation.
| Endogenous |
3.115×
10-1 |
3.115×
10-1 |
| Hours |
Liquid
Feed |
Imprinted
Water |
| 0
|
As
in Table 6 |
As
in Table 6 |
| ½ |
5.411×
10-1
¯8.014× 10-1
5.534× 10-1 |
3.413×
10-1 |
| 1 |
3.313×
10-1 |
3.115×
10-1 |
| 1½ |
3.115×
10-1 |
3.115×
10-1 |
The conclusion from this experiment is that plants can quickly
become aware of changes in their nutritional environment through
chemical frequency signatures even though as in the case of
the potencies, there was nothing but frequency imprinted water.
This was inside a glass jar and not in direct contact with
the soil. The watering of a nitrogenous fertiliser or a copy
of its chemical frequency signature onto the soil also had
an immediate effect. The meridian was entrained to these frequencies
and this persisted for about an hour before the meridian returned
to its normal endogenous frequency.
The measurement of frequencies on a plant meridian offers
the possibility of rapidly assessing the status of a plant
and its response to an applied stimulus.
5. Electrical Resistance Measurements on Plants
A paper written in the Summer of 1988 by the present writer
and the student on whose project work it was based is given
in Appendix 1. We never managed to get this work published.
It shows that a chlorided-silver electrode inserted into
the stem of a plant and the wound allowed to heal, provides
a stable electrical contact over a long period. Measurements
of the electrical resistance between such an electrode and
an electrode inserted into the soil showed changes following
ultra-violet illumination and also periodic diurnal changes.
The latter persisted even when the plant was kept in darkness.
They correlated with the fluctuations of the local geomagnetic
field and could be provoked by exposure to an artificial magnetic
field variation of the correct magnitude and rate of change.
Our conclusion was that the plant could sense the arrival
of sunlight in the ionosphere through the geomagnetic changes
and prepare for photosynthesis as soon as dawn broke at sea
level. This effect could be suppressed by keeping the plant
in a strong magnetic field gradient so that it could not sense
the geomagnetic changes. Leaving it there over a weekend nearly
killed it.
Conclusions
This collection of miscellaneous experiments is intended
to demonstrate the way that plants are making use of geomagnetic
fields, and of frequencies covering much of the electromagnetic
spectrum. If there was not a duality between the chemical
bond and frequency, spectroscopic analysis would be impossible.
Coherence makes frequency a fractal quantity linking the optical
to the technological to the biological.
The frequency content of homeopathic potencies is able to
entrain a plant’s meridian to the potency. The effects of
some homeopathic potencies on plants are known. The next thing
to find out is what bio-chemistry is switched on/off by these
potencies and frequencies, remembering that because of frequency
fractality, the possibility of photochemistry must be considered.
Referring to my title, "Plants may be slow but, they
are not stupid!" the techniques described here enable
one to make a rapid assessment of a plant’s status and intelligence
about its environment without having to wait for some visible
change in growth or habitat.
Appendix 1.
“Diurnal Periodicities in the Electrical Resistance Between
Stem and Rooting Medium for Crassula and Dieffenbachia”
M.A. Britton and C.W. Smith,
Written in 1988 in the then Department of Electronic and
Electrical Engineering of the University of Salford, England,
but remaining unpublished.
Abstract
The resistance of plant stems can be conveniently measured
using a conventional bridge circuit connected between a ground
electrode inserted into the rooting medium and a chlorided-silver
electrode inserted into the plant stem. Two plant species
were chosen: Crassula argenta a succulent needing warm
light and dry conditions and Dieffenbachia picta superba
needing shady moist and warm conditions. Recordings of
the stem resistance showed regular diurnal fluctuations both
in normal daylight and when in the total darkness of an incubator.
These fluctuations correlated with the natural local variations
in the geomagnetic field but, they could be simulated by suitable
laboratory generated magnetic fields. A phase lag of about
1½ hours was involved.
1. Introduction
Previous work (Hart, 1985) showed that in vivo dielectric
measurements on plant tissues can give stable readings which
indicate the health of the plant and even show variations
following injury and subsequent healing. The present paper
describes a simple apparatus to monitor variations in the
electrical resistance of plants. The results of preliminary
measurements are correlated with the lighting and electromagnetic
environment.
Two plant species chosen were representative of two very
different growing environments. : Crassula argenta
(Money of Jade) is a hardy succulent preferring warm light
and dry conditions. The leaves are moist and approximately
700 sq. mm. in area. The other, Dieffenbachia picta superba
(Leopard Lilly) is a tropical plant and enjoys shady moist
and warm conditions. The leaves are 1mm thick and 500 – 1500
sq. mm. in area. The plants were purchased from a local supermarket.
2. Apparatus
The basic problems in the design of apparatus to measure
in vivo the electrical properties of plant tissues
are firstly, the wide range of external factors which may
affect the physiological state of the plant system and secondly,
the possibility that the apparatus may contribute to these
particularly through the variation in the electrode characteristics
and physiological effects due to small currents entering the
plant through the electrodes.
Preliminary experiments were made using electrodes in contact
with the leaves and inserted into the stem. Although inserting
an electrode into the stem produced localised damage, the
wound soon healed and thereafter gave a stable contact if
a chlorided-silver wire was used. With electrodes applied
to the leaf, electrode noise, effects of mechanical disturbance
and tissue damage produced by electrode jelly combined to
give unsatisfactory results. Accordingly, an electrode of
chlorided-sliver wire 2 mm in diameter was inserted into the
stem of each plant to be measured at about 20 mm above the
soil level (Fensom, 1963; Carter and Blanchard, 1978). These
were left in position for several days for the wound to heal.
The other electrode was a 2 mm. diameter wire inserted into
the plant pot to a depth of about 50 mm. This was of copper
which had been ‘tinned’ with a tin-lead solder. To reduce
electrical interference, the plants were connected to the
measuring circuit by a coaxial cable. The inner conductor
was connected by a clip to the stem electrode. The outer conductor
(brading) was connected to the soil electrode.

Initial tests indicated that the resistance from the stem
electrode to the soil electrode would be between 40 kΩ
and 100 kΩ. The circuit used is shown in Figure 1. The
switch S2 is a polarity reversing switch that permits the
periodic polarity reversal of the 50 µA of bridge current
flowing through the plant from the bridge circuit. This level
of current appeared to be satisfactory although some of the
stems on the Dieffenbachia produced more shoots when
a current was flowing. The 100 kΩ variable resistance
can be set to adjust the current in the plant according to
its resistance. The 5 kΩ potentiometer gives fine adjustment
of the bridge null-point. The amplifier was an inexpensive
µ741 operational amplifier. The bias conditions are a compromise
between the limitations of the amplifier off-set current and
the requirement to minimise the current passing through the
plant stem. The gain of the amplifier could be adjusted by
adding the variable resistor VR6 to the 200 kΩ. The
bridge and amplifier were independent of the mains supply
being run from the three 9V batteries shown. The output was
connected to a chopper-bar chart recorder (Goerz-Electro
Model 226253) running on the 5 mA range at a speed of 20
mm/hr and sampling at 3 second intervals.
Stability was tested by connecting a 40 kΩ resistor
to the input cable instead of the plant. No variation or drift
was visible on the chart over an 8-hour period. The bridge
circuit used is not linear when operated away from balance
conditions. For plant resistances between 40 kΩ and
80 kΩ the maximum non-linearity on the chart amounted
to an acceptable ± 6%.
3. Tests on the Plants
To test the overall reaction rate of the plant and measurement
system, a specimen of Dieffenbachia in which a stem
electrode had been inserted and stabilised was connected to
the bridge input cable. When the bridge output had become
steady (the electrode time constant was about 10 seconds)
the plant was exposed to ultra-violet light from a fluorescent
tube for 2 minutes from a distance of ½ metre. There was a
latency period of 1 minute after which the change in bridge
output had a time constant of about 3½ minutes as shown in
Figure 2. The decay of the response was much slower.

The two plant species used were placed day and night on a
window ledge in the laboratory as far as possible from electrical
apparatus and where they would receive the normal environmental
fluctuations of light and temperature. Their stem resistances
were found to vary in synchronism as shown in Figures 3a and
3b.


To eliminate the variations of light and temperature the
plants were placed inside an incubator set to 18 ± 0.1 °C
giving shielding from light and all other electric and electromagnetic
fields except for ELF and steady magnetic fields. The observed
periodic variation in the resistance persisted as seen in
Figures 4a and 4b. Although the plants started to prepare
for night as soon as they had been placed in the incubator,
they both commenced to prepare for daylight and photosynthesis
between 3 and 4 am (GMT), that is about 2 hours before local
twilight (Reed, 1988). In England, in February the twilight
extends about half-an-hour either side of sunrise and sunset.


Since only ELF and magnetic field fluctuations could have
reached the plant within the incubator to act as a ‘zeitgeber’,
the plants were again placed on the window ledge in normal
light and indoor temperature conditions. Then, the local geomagnetic
field was measured simultaneously with the plant stem resistance.
There was a close correlation between these two parameters
as seen in Figures 5a and 5b. The plant stem resistance changes
lagged about 1½ hours behind the geomagnetic field changes.


To confirm that a changing magnetic field could produce such
an effect, the plants were placed in the magnetic field generated
by a steady current in a large coil arranged so as to simulate
the measured changes in the geomagnetic field. The results
shown in Figure 6 confirmed that the observed plant stem resistance
changes could be produced by a changing magnetic field and
again gave a time lag of 1½ hours.

To try to suppress the effect of this ‘zeitgeber’ a Dieffenbachia
plant was placed on the floor in a part of the laboratory
close to a steel floor joist where there was a strong gradient
of magnetic field. This was measured using a geo-magnetometer
with a graphics computer (BPM2001, Bio-Physik Mersmann ).
The resulting plot shown in Figure 7 gives a magnetic field
gradient of 80 µT/m. which represents a variation of 3 nT
across a leaf of the plant and 1 nT across its stem diameter.
Since the plants were responding to changes in the geomagnetic
field of total magnitude 1 µT and began to respond at changes
of 100 nT it is not so remarkable that this gradient of magnetic
field was able to paralyse the ability of the plant to photosynthesise
properly. The plant was placed at the 50 cm × 50 cm coordinate
shown in Figure 7. At this location, the overall resistance
of the stem as shown in Figure 8 increased steadily over 48
hours. The periods of decreasing resistance occurred much
later in each succeeding day and for shorter durations. At
the end of 48 hours, the plant had wilted, the leaves had
become discoloured and overall the plant appeared to be in
very poor condition. Subsequently, it recovered on being moved
back to its former location on the laboratory window ledge.


4. Conclusions
From the above preliminary experiments on two plant species
preferring very different habitats, it appears that the electrical
resistance between an electrode inserted into the stem and
one inserted into the potting medium is a good indicator of
the plants’ activity and impending activity. The resistance
changes for the plant indoors can be stimulated rapidly by
exposure to ultra-violet light. Diurnal variations in the
stem resistance persist when the plant is kept inside an incubator
in darkness and screened from all but ELF and geomagnetic
fields. These variations correlate with the diurnal variations
in the local geomagnetic field, but they lag in phase by about
1½ hours. Comparable variations in stem resistance can be
stimulated by equivalent laboratory generated magnetic field
changes and rates of change, both have to be correct. Finally,
the effect of exposure to a magnetic field gradient giving
a magnetic field variation over the dimensions of the plant
which is greater that the geomagnetic fluctuations providing
its ‘zeitgeber,’ results in a rapid decline in its photosynthesis
activity and general vitality.
Acknowledgments
Thanks are due to Dr. Ludger Mersmann for the loan of the
geo-magnetometer and computer and to Dr. Kaydar Quboa for
making the magnetic field plot which forms Figure 7.
References
Carter JK and Blanchard RO (1978) Electrical resistance
related to phloem width in red maple. Canad. J. For. Res.
8: 90-93.
Fensom DS (1963) The bioelectric potentials of plants
and their functional significance. Canad. J. Botany 41:
831-851.
Hart F-X (1985) The extremely low frequency electrical
properties of plant stems. Bioelectromagnetics 6:
243-256.
Reed’s 57th. Nautical Almanac (1988) Thomas Reed:
New Malden.
Appendix 2.
Frequency, Coherence and Response Rate Theory
Anything in a state of oscillation has a variation which
usually repeats in cycles according to the mathematical relation
called a sine function, hence the term sine-wave. This function
is the mathematical solution of an equation describing an
oscillation. If the ‘sine’ had not previously been found in
trigonometry it would have had to be invented for this equation.
The number of cycles per second is the frequency of the oscillation.
Equations tend to give frequencies in radians per second and
since there are 2π radians in one cycle or circle this
factor often appears. Two waves can have the same frequency
and wavelength but they may still have a difference in phase.
If the phases of two waves of the same frequency differed
by half a cycle they would be mirror images and if combined
they would cancel. This is called destructive interference.
Coherence can be regarded as a measure of the capacity of
two waves to interfere.
If the effect of an oscillation is propagating through space,
the distance travelled per cycle is the wavelength, and frequency
multiplied by wavelength gives its velocity of propagation.
The band-width of a resonance is usually measured between
the half-power (3db) points. The more precise the frequency
(i.e. the narrower the band-width) the longer the resonance
takes to build-up and to decay (echo). This is often described
and measured by a parameter called ‘Q’ (= frequency
/ bandwidth). These are all mathematically related as shown
in Figure 1.
The early part of the 20th. Century saw Planck’s
hypothesis that oscillators can only emit or absorb energy
in quanta and not in any arbitrary amount as assumed in classical
physics. Bohr connected these oscillators with atomic structures,
thereby explaining why atoms do not ‘run down’. Hahnemann’s
original potencies did not ‘run down’ and they were found
to be clinically effective 150 years after he had prepared
them. Homeopathic potencies must involve some macroscopic
type of quantum physics to provide a similar stability to
that given by quantum physics at the atomic level. The Classical
Electromagnetic Field describes physical states for which
the phase is well defined, but the number of particles (quanta)
is undefined. It can describe the propagation of electromagnetic
radiation but, as Einstein postulated, quanta are inherent
in the nature of the radiation itself. Fröhlich pioneered
the concept of coherence in living systems. Del Giudice and
Preparata showed that domains of coherence were a fundamental
property of water.
There is some very interesting physics behind homeopathy.
It involves the interaction with living systems of frequencies
stored in coherence domains in a homeopathic potency.
Figure
1
Resonance
Build-Up and Decay in Classical Physics
The quality (Q) of a resonance expresses the sharpness
of a resonance and the response rate. It is the resonant frequency
divided by the bandwidth at the half-power (3dB) points and
is the ratio: (energy stored / energy lost per cycle).

Within a coherence domain, the coherence in the phase increases
as more particles in the domain are allowed to fluctuate randomly.
This takes up the Heisenberg Uncertainty. It is this uncertainty
which limits how narrow the bandwidth can be.
The bandwidth of a frequency can be measured with sufficient
precision. This gives the number of particles involved in
fluctuation which in turn gives the total number of particles
within the coherence domain.
If these particles are protons they will spin and the spin
axis will precess in a magnetic field. This precession is
a current loop which will generate a local magnetic field.
There is a certain number of protons which must precess coherently
to satisfy the proton nuclear magnetic resonance conditions
for any frequency of precession. In other words, if the protons
are started precessing at any given frequency, they
will generate exactly that magnetic field which will keep
them precessing at that frequency.
This memory of frequency will be stable unless the entire
coherence is broken up by removing the geomagnetic field.
This erases a homeopathic potency. The critical magnetic field
at which this happens gives the size of a coherence domain
as 53µm. This in turn gives the number of protons available
to remember a frequency. There are enough protons in a domain
to remember over 800 different frequencies which is what is
measured by multiple imprinting. The numbers derived from
experiment and theory all fit.
Within a coherent system, external radiation will interact
with an entire coherence domain or, not interact at all. It
is the interaction and scattering by individual molecules
which gives matter its refractive index. If radiation does
not interact, it travels with the free-space velocity of light.
If it does interact, it will interact with an ensemble of
molecules oscillating in-phase as a massive coherence domain.
This greatly reduces the velocity and is equivalent to an
enormous refractive index.
Fractality arises from frequencies within a coherence domain.
The constant parameter becomes the coherence length and this
makes frequency proportional to any velocity with which the
coherence can propagate. Table 1 shows the fractal frequencies
generated by imprinting the optical spectrum from a mercury
discharge lamp into water. Combining the frequency ratios
gives the ratio: Optical/ELF = 8.25×1013.
If a plant wants to do something quickly or needing much
energy, it can use the ultra-violet. If it wants to ignore
irrelevant environmental fluctuations it can chose a lower
fractal of frequency, yet still retain the capability to switch
over to a fast activity or a high energy activity like photochemistry.
Table
1

General References
Arani, R. Bono, I. Del Giudice, E. Preparata, G. (1995) QED Coherence
and the Thermodynamics of Water. Intl. J. of Mod. Phys.
B, 9, 1813-1841.
Fröhlich, H. (1983) Coherence in Biology, in ‘Coherent
Excitations in Biological Systems’, Fröhlich, H. and Kremer,
F. (Editors). Berlin: Springer-Verlag pp 1-5.
Fröhlich, H. (1988) Theoretical Physics and Biology,
in Fröhlich, H. (Editor) “Biological Coherence and Response
to External Stimuli”. Berlin: Springer-Verlag pp 1-24.
Preparata G. QED Coherence in Matter. Singapore: World
Scientific, 1995.
Smith CW. (1998) Is a living system a macroscopic quantum
system? Frontier Perspectives, 7(1), 9-15, (Temple
University, Philadelphia, 1997 Lecture at Frontier Sciences
Department).
Smith CW. (2007) Water - its clinical and scientific
depths. In: Emoto M, The Healing Power of Water. London:
Hay House. Chap.3, pp 77-88.
Smith CW (2008) Fröhlich’s Interpretation of Biology
through Theoretical Physics. In: Hyland GJ and Rowlands
P (Eds.) Herbert Fröhlich FRS: A physicist ahead of his time.
Liverpool: University of Liverpool, 2nd edition,
pp 107-154.