EPIGENETIC REGULATION OF PROTEIN BIOSYNTHESIS BY SCALE RESONANCE
Invited lecture by Joël Sternheimer
Kanagawa Academy of Science and Technology (KAST) and Teikyo Hospital (Tokyo), may 20, 1993
I do not know whether you´ve been told, before coming here, that this lecture is about the
fact that some molecules are, in a sense, ‘musical’, and that this has applications for healing;
so I'll tell you how, what it means, and in which sense
. Only forgive me that I will start
recalling a few things most of you probably already know.
When we eat, we digest and decompose our nutriments into simple elements, namely fat,
sugars and amino-acids. Then using our genetic program, which is contained in our DNA, we
build up our own proteins from amino-acids we eat and others we make ourselves.
Starting from DNA, one has the messenger RNA (mRNA) which goes on to the ribosome;
whose shape looks a bit like Akebono [famous Sumo fighter], and indeed somehow possesses
its stability: it is a very stable place, a kind of bench on which protein synthesis will be
performed [drawing below].
On the other hand, one has amino-acids which are carried by transfer RNAs. The mRNA
goes onto the ribosome, and the transfer RNA (tRNA) which carries the amino-acid also goes
onto the mRNA which is on the ribosome. Here you see the two parts which are called
subunits of the ribosome, over which comes the mRNA, over which again comes the tRNA
with its amino-acid. Then there is a displacement and the amino-acid which is brought by its
tRNA gets onto another (more exactly others are already there) at the end of a protein chain in
the course of its elongation process. Here [pointing onto the board] is another tRNA which
carries an amino-acid and a second one linked to the first, and a third, and a fourth and so on,
that is an amino-acid chain.
Of course, all this you find in any biology textbook. But what interests us more
particularly here, is what happens at the very moment when the amino-acid brought by its
tRNA is being hooked onto the ribosome.
Something happens then which you do not yet find in your books, namely that the amino-
acid, at that moment, emits a signal. This signal is a wave of a quantum nature which is
precisely called a scaling wave
. This means that it connects different scales together, and
more particularly the scale of each amino-acid to the scale of the processing protein.
This signal has a certain frequency and a certain wavelength. Its wavelength is given by a
very classical formula. It is the ratio of Planck´s constant over the product of the mass times
the speed of the amino-acid. When the amino-acid is in its free state, its wavelength is much
smaller than its size and it behaves like a particle submitted to thermal agitation.
But when the amino-acid is being hooked onto the tRNA, its wavelength becomes of the
order of its size, because it is strongly slowened by the tRNA, and its wavelength, which is
inversely proportional to its speed, then increases to the order of the amino-acid size. And
when this whole system is in turn hooked onto the ribosome, which is still about 200 times
bigger than the tRNA, the amino-acid wavelength then becomes much larger than its size,
perhaps about 5 to 6 times in average. This means that at this moment the behaviour of the
amino-acid becomes wavelike, which is expressed by the fact that when the system is being
hooked onto the ribosome, the amino-acid emits a signal.
The equation of motion of this wave is not a simple Schrödinger or Klein-Gordon
equation. It is a scaling wave equation, as follows:
Ψ = m
so that without the exponential term that you see here, it would be the Klein-Gordon equation,
but with this term which includes a scale parameter, the wave also propagates in scale, and
therefore connects different scales together. The general solution of this equation is very
peculiar: it is a sum of waves analogous to light waves, but with speeds that are different.
There is a fastest one and another one twice as slow, and still another one three times as slow,
and so on.
I will here show in bigger size what I draw earlier. The individual amino-acid on one
side, and the processing protein chain on the other. At a given moment, a wave is emitted
from an amino-acid, then a slower one will arrive after a time twice as long, and a third one
will arrive after a time three times as long, and so on. One will get periodic superpositions of
the vibrations of these amino-acids.
As each of those vibrations itself contains harmonics, the neat result will be the existence
of constraints in the succession of frequencies of those amino-acids, and so in the succession
of the amino-acids themselves which will therefore be not random in the protein: namely
these superposition properties draw along the succession of those frequencies to be musical.
Take for example a well-known protein which is the one before last protein of the respiratory
chain, and is called cytochrome C:
G D V E K G K K I F I M K C S Q C H T V E K G G...
Here is just the beginning, the first 24 amino-acids of human cytochrome C. If one looks at
the succcession, G in the one-letter code for amino-acids stands for glycin for instance; D is
aspartic acid, V is valine, and so on...
If one looks at the frequencies associated with each of these amino-acids, as it is possible
to compute them -- the calculation is rather complex, but results in a code which is fairly
simple -- well, modulo a certain number of octaves (approximately 76 octaves, since the
magnitude of those amino-acid frequencies, namely of the signal emitted from them, is of the
order of about 10
Hertz), then precisely, the frequency for glycin will be 220
similarly for serin it will be 330, for the one coming next in the sequence 440, always modulo
76 octaves, that is times 2
These frequencies are musical [pointing onto the amino-acids of the sequence written on
board], here is an A, here an E, and here again an A an octave higher; and if one looks at the
succession of the frequencies and enters it into the memory of a synthetizer, one gets a
Glycin is an A, asparagin is a G, valin is an F, so one gets [singing the melody], and it
goes on [following of the melody singing]... I hope I did not sing it too bad, but if it gave you
a somehow nice feeling, this is probably not by mere chance, but because... well here I am
going a bit too fast, so let us take over again.
When the cytochrome C molecule is being processed, the scaling waves it emits do not
bound themselves to stimulate, to act on the protein itself, but they also act on other proteins
of the organism. The melody I just sang before you involved approximately 4 to 6 notes per
second, corresponding to 4 to 6 amino-acids per second: this does correspond to the
biosynthesis of the cytochrome C molecule, where 1/4th of a second represents the average
time it takes a new amino-acid to get hooked on the elongating chain.
When for instance we breathe, a whole series of reactions is taking place. Breathing is the
+ 1/2 O
O, in which the energy is stored by a whole series of molecules
which transfer electrons, the one before last being the cytochrome C, and the last one the
cytochrome oxidase or cytochrome A3; and if I look at the melody associated to the synthesis
of cytochrome oxidase, I find inside the same musical fragment [singing] that is found here
round the beginning of cytochrome C. This expresses the fact that, when the cytochrome
oxidase molecule is being processed, it will stimulate again the synthesis of the cytochrome C
protein, so that these melodies are not just a kind of molecular amusement, so to speak: they
sign up the function of the protein.
The proteins which share similar melodies will find themselves homologous in a
metabolic chain. They will stimulate each other like those.
The proteins whose melodies correspond to scaling waves in phase opposition, will yield
other melodies and will find themselves anti-homologous. There will be a phase opposition,
which will inhibit synthesis. Thus, when we make our own proteins, by the very fact that we
make them and through the scaling waves they emit, they will stimulate or inhibit other
proteins. So the synthesis of a protein when we are making it will have an action on other
proteins of our organism.
As an example when we are making interleukin 2, or when we are making tPA (tissue
plasminogen activator), we are not only making them, we also stimulate other proteins (of
immune defense in the first case). Interleukin is something like this [singing]. Here I am a bit
cautious, I stop rather quickly, I shall explain why; but when we make it, we stimulate other
immune defence molecules, which is not at all the case when the protein is for instance
produced by genetic engineering and injected into the body. All those effects are lost when a
protein is injected that we do not make ourselves. Therefore one would need much more of it
to get similar results, and that is why one gets side effects. So in this case it is better (and
much more interesting) to stimulate our own proteins, rather than adding them from outside;
one will not get those obnoxious side effects.
It is now that something interesting happens when one listens to those melodies such as
the ones I sang you a bit earlier, which are transpositions down 76 octaves, of the quantum
melodies of proteins.
In our ear (here I draw an ear), inside there is a small shell that is called the cochlea, and
inside this cochlea, are found the so-called hair-cells. In those hair cells, the acoustic wave
which is received in the ear is transformed into electric current which is called microphonic
potential because it exactly reproduces the shape of the acoustic wave like a microphone. All
those microphonic potentials, of course, sum up in the nervous impulse (or summation
But before the nervous impulse goes to the brain, the microphonic potential, who also
obeys an equation of this type [showing the scaling wave equation written on the board],
sends scaling waves which go directly onto the ribosomes. Scaling waves indeed have
quantized ranges: there are several solutions, but one in particular is close to Avogadro´s
number, and can thus achieve a transposition between the quantum scale and our scale. The
electric current which is called microphonic potential, and which reproduces the shape of the
acoustic wave, thus sends a signal which is a scaling wave and reaches directly onto the
ribosomes where protein synthesis is taking place.
So we have two circuits for hearing. One goes to the brain, with the interpretation of
acoustic signals by the brain, and there is another one which, starting from cochlear hair cells,
reaches directly onto cellular ribosomes.
When we listen to the melody of a protein transposed, when we listen to it acoustically, a
resonance phenomenon occurs, which is a scale resonance, and will stimulate (or inhibit in
case of phase opposition) the corresponding protein synthesis.
Since, happily enough, we also have a brain with its own circuits (otherwise it would be
very dangerous), we can be aware and consciously know whether the sequence of sounds, the
melody we listen to is convenient for us, whether we like it or not. If it is not convenient, we
can protect us from it -- we can close our ears -- but if it is, we can acknowledge it and heal
ourselves in this way. So there is a whole therapy based on this principle, and which consists,
when somebody is sick for some reason, in making the hypothesis that may be this or that
gene is involved; so that the corresponding protein should accordingly be stimulated, or
inhibited. And one proposes it to the person to listen to. Only she can then know whether the
corresponding melody is convenient for her; in which case she will listen to it, and this will
stimulate the synthesis of the protein which was deficient. (...).
[Original transcription by Jérôme Baron, translation by author].
(*) European University of Research, 1 rue Descartes, 75005 Paris (France). Invited by Prof.
Shinroku Saito, Chairman of Kanagawa Academy of Science and Technology.
(1) After J. Sternheimer, Method for the epigenetic regulation of protein biosynthesis by scale
resonance, patent n° FR 92 06765 (international application n° PCT n° FR 93/00524).
2) J. Sternheimer, in Colloque International "Louis de Broglie, physicien et penseur", Ancienne Ecole
Polytechnique, Paris, nov. 5-6, 1987; and Scaling waves, to be published.