In Appendix D (on Resources page), the details of how and why specific frequencies of very low intensity ultrasound can destroy viruses and bacteria are derived and discussed using standard physics. Here we wish to know the approximate intensity of ultrasound necessary to kill the cancer virus as was done by the Rife frequency instrument used in the U.S.C 1934 clinical trials. We should anticipate three significant physical processes being involved in generating ultrasound in the patients. One, pressure waves being generated in the patient from exposure to oscillating light intensity from the X - ray tube. Two, direct generation of ultrasound from the X - ray tube walls vibrating from their interaction with plasma shock waves generated by tube electric current flows and electric fields from oscillating charge density distributions. Third, oscillating forces on the ions in the salt solution of the patient's body from the oscillating electric fields of the discharge tube ( X - ray tube ). These oscillating ions insidee the patient produce pressure waves (ultrasound).
The intensity ( Watts / Meter squared ) of an acoustic sinusoidal wave when expressed in terms of pressure is frequency independent and is given by:
I = ( P )2 / ( 2D V ) ; where I is intensity in watts / meter squared , P is the maximum pressure in Newton / meter squared , D is the density of the medium in kilograms / meter cubed , and V is the velocity of sound in meters / second in the medium. P will now be calculated approximately and along with approximate assumed values for D and V, I will be given to within two orders of magnitude. With perhaps two orders of magnitude of slop, this may seem like a non-useful result. However, we shall find that the results have some profound implications. Figure 6 shows a frequency instrument being used on a cancer patient. Assume the light leaves the ray tube uniformly in all directions. Then the light intensity on the patient's abdomen directly below the tube as illustrated in Figure 6b is equal to the total light out put in watts divided by the surface area of a sphere which has a radius equal to the shortest distance between the center of the ray tube and the patients skin surface. We will assume 40 % efficiency in conversion of electric power to light, this includes UV, visible, and IR in the ray tube. The quartz wall of the X - ray tube passed UV, visible and much IR light through it. The tubes used in the clinical trials dissipated around 80 watts. Therefore, we assume approximately 32 watts of radiant light energy is emitted. Now looking back at Figure 3 we see that the light is emitted in pulses which to a first approximation can be approximated as of a sine wave pattern. The 32 watt light output power is the root mean square ( RMS ) value of the output power in the form of light. For a sine wave the relationship between the peak power output and the root mean square value is :
W ( peak value ) = ( 2) W ( RMS value ). Light carries momentum and when light is absorbed by the skin, that momentum must be conserved.
It is conserved by being converted into the longitudinal wave momentum of the pressure pulse that travels into the body. The peak amplitude of that pressure pulse associated with each light pulse is:
P = ( Pointing's vector ) /( speed of light ) = S / C ; where S is the magnitude of
Pointing's vector and C is the speed of light. S = ( (2) W( RMS value ) ) / ( Surface area of sphere )
S = the instantaneous energy per time crossing unit area.
P ( peak value ) = ( (2) (32 watts)/(4 )(.3 meters)2 ) / ( 3 x 10 8 meters/second )
P ( peak value ) = 1.88 x 10 -7 Newton/meter squared
The outer surface of the skin is made up of a dead skin cell layer. These cells have approximately 10% water content and the rest is essentially protein. I know of no density or speed of sound measurements for this dead skin material. I will now assume a density of .8x10 3 kilograms/meter cubed ( 80% of that of water ) and a speed of sound of
50 meters / second ( similar to vulcanized rubber ). Using these values for
P ( peak value ), D ,and V we obtain:
I = ( 1.88 x 10 -7 n/m ) 2 / ( (2)(.8x10 3 kgm/m3 )( 50 m/s ) ) = 4.4 x 10 -16 w/m2
It should be noted that in this approximation calculation, the fact that significant radiant "light" passes through the dead skin layer and is absorbed in the living tissue is ignored. Proper consideration of this fact does not significantly change the results for the value of I calculated.
If the above calculated value of ultrasound intensity is responsible for a significant amount of the observed microbe kill off with a Rife frequency instrument, then there are two important points to be made and realized at this time. First, even if our approximation calculation for I were off by two orders of magnitude, it is clear that what is normally thought of as a totally harmless and insignificant ultrasound intensity can have profound effects on microbes. We can make this statement because Rife and medical doctors which used his frequency instrument cured thousands of patients of microbe/virus caused diseases using power levels in the ray tube we used for calculation purposes above. The second point to be made is that the microbes and viruses have high Q-values when considered as mechanical resonators. Where 2E /Q is the approximate total vibration energy released or dissipated by a vibrating system per complete oscillation cycle of the system. E is the total energy stored in the oscillator ( potential plus kinetic energy). This Q-value as used above is understood for a simple oscillating system, such as a mass attached to a spring while going back and forth (oscillating ) on a frictional surface. However, in our virus system it becomes a little more tricky to use, because there are so many vibration modes that can be simultaneously in existence. For example when you pick up one of the virus models you have constructed from the material you have been supplied in APPENDIX D , keep your finger on one of the spherical protein clumps. Now count to see how many different closed "rings" of protein clumps this one protein clump belongs to. Note that for each separate closed ring this protein clump has three independent degrees of vibration associated with each resonant frequency mode for each closed ring. These three independent degrees of vibration consist of two transverse vibrations at right angles to each other and one longitudinal The physical displacement of one transverse vibration occurs approximately in the local tangent plane to the surface in which the clump is located and at right angle to the Ring's local curvature. The other transverse vibration has its displacement occur at right angles to the first and occurs in the approximate direction of above and below the local tangent plane to the virus's surface. The longitudinal vibrational displacement occurs back and forth along and parallel with the local direction of the closed ring of clumped proteins. Once you realize that all of these vibration modes are allowed to coexist together on the outer coat of the virus, you see that the coat is a sitting duck, just waiting to absorb resonant vibration energy up to the point where it comes apart by rupture of the weak bonding between adjacent protein clumps.
Now, let us consider the ultrasound intensity generated in the air by the mechanical oscillations of the wall of the X - ray tube. From the operation of current gas filled tubes which are similar to Rife's tube, with similar electrode design, gas mixtures, pressures and power dissipation, it is experimentally known that such tubes when operated at auditory frequencies make an audible sound. This sound occurs whether the tube is ran at mega hertz frequencies with audio frequency amplitude modulation or simply by a audio frequency sine wave voltage. The sound is not very loud but is clearly audible as long as the back ground sound is not to loud. The average human ear can just detect (hear) a tone of ~ 1,000 cycles per second in a very quite background, at around an intensity level of 10 - 12 W / m 2. I believe that it is safe to assume ultrasound intensities of around 10 - 10 W / m2 for these Rife type tubes. As stated above the intensity of an acoustic sinusoidal wave when expressed in terms of pressure is frequency independent and is given by:
I = ( P ) 2 / ( 2DV); solving for P we have: P = ( 2DVI ) 1/2; if we now place into this
equation the values of I = 10 -10 W/m2, V = 333 m/S (speed of sound in air), and D = 1.22 kg/m3 ( air density ), we obtain P = 2.9 x 10 - 4 n/m2. This would be the approximate sinusoidal air pressure variation experienced on the skin surface by a patient located only a few inches from a Rife type tube making the auditory sound mentioned above. Now the important question to ask is: What is the intensity of the sound that travels into the patient's body generated by the sinusoidal air pressure variation experienced on the skin? The answer is by using our formula for intensity again and subtituting in:
P = 2.9 x 10 - 4 n/m; because the wave pressure is approximately conserved, D ~ .8 x10 3 Kgm/ m3 (dead skin layer), V ~ 50 m/S , (assumed velocity of sound in dead skin layer), we obtain:
I = 1.05 x 10 - 12 W/m2
Even, if I am off ( to optimistic ), and I probably am by a couple or so orders of magnitude for the intensity of mega hertz ultrasound actually generated by the tube wall, it is clear again that ultrasound intensities that are normally thought to be totally harmless and insignificant can have profound effects on microbes.
What about the affects of oscillating electric fields from the tube generating ultrasound in the patient. Well from the positive results from the use of such devices as the Lakhovsky Multiple Wave Oscillator, it is clear that we can expect similar results from a Rife frequency instrument when in close proximity to it.
Figure 7a shows a closed ring of protein clumps such as are found in the outer capsid coat of a virus. Figure 7b shows the mathematical abstraction of Figure 7a. Each protein clump has a mass m, and they have a distance a between their centers of mass. The elastic connecting force is provided by the self elasticity of the protein clumps, which are weakly bound together mainly with hydrogen bonds. A tension in the closed ring of protein clumps is maintained by osmotic pressure and, by hydrophilic and hydrophobic interactions between the outer virus coat and water and other chemical compounds in the environment ( see APPENDIX D for details ). The magnitude of this tension in conjunction with the mass of the protein clump determines the fundamental natural mechanical oscillation frequency for the ring.