



































Observation of radiated spectra and comparison with predictions of Stefan’s and Wein’s laws


DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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195 

Article  

Polarization-Holographic Processes in Biosystems 
 

G. G. Tertyshniy, Peter P. Gariaev
*
 & E. A. Leonova 

 

Institute of Quantum Genetics LLC, Moscow, Russia 

 

ABSTRACT 

A proposed physical-mathematical model that describes a version of the polarization-holographic 

vector-shaped calibration of potential spatio-temporal dynamic processes of higher biosystems in 

their development and in adulthood. 

 

Keywords: DNA, light radiation, chromosomal continuum, polarization, hologram. 

 

Let’s record a vector diffraction Kirchhoff’s integral in paraxial approximation [10], which 

describes wave field, for instance photon field, formed by a non-stationary fragment of a 

biosystem.  These coherent photon fields may radiate from the liquid crystal continuum of a 

chromosome (LCCC) in vivo [27].  This type of radiation may be expressed by the following 

equation: 

 

(

(1) 

where c — speed of light; ω — frequency; x0, y0, z0, t0 и x, y, z, t – space-time coordinates of a 

LCCC’s point and an observation point, respectively; r -distance between these points; S0, T0 - 

time-space interval, occupied by LCCC; dS=dx0, dy0 

 

In the equation (1), Eob (x0, y0, z0, t0) represents distribution of field amplitude of LCCC. This 

field is present for every polarization mode which are orthogonal and are independent until a turn 

occurs in their planes from their initial positions of vectors of median frequency waves of ω0 

(which are polarized mono-frequency waves, slightly shifted by frequency in relation to one 

another), propagating along z axis with Jones vector [11].  Remember, chromosomes are 

characterized by high optical activity, expressed by optical spin dispersion and spherical 

dichroism that is a prerequisite for formalism. 

                                                 
*Correspondence: Peter Gariaev, Ph.D., Quantum Genetics Institute, Maliy Tishinskiy per. 11/12 - 25,  Moscow 123056, Russia.  
  Email: gariaev@mail.ru  
 
 

mailto:gariaev@mail.ru


DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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196 

 
(2) 

 

Field E0 passes via non-stationary fragment of LCCC with Jones matrix. 

 

For simplification we will consider that non-stationary LCCC is not a function of the 

frequency of translucent light [12, 13]. 

Both polarization modes of coherent light are depolarized by gene-sign non-stationary 

nature of LCCC (discussed above [22]) and are partially elliptically polarized. At the same 

time, they may interfere with formation of speckle patterns, and their total intensity is 

transferred from one mode to another by means of an earlier postulated way [25]. This in turn, 

leads to modulation of radio waves, formed from chromosomal photons by the mechanism of 

their delocalization [24]. 

According to [14], immediately behind the object, modified Johns’ vector of orthogonally 

polarized passed waves may be represented in a form of partially coherent orthogonal 

components of elliptical polarization 

 

(3) 

where  – a sign of non-coherent sum of amplitudes, which [14] 

is introduced for partially polarized light; EA  –  complex amplitude of one basis component; 

EB –  complex amplitude of another basis component, orthogonal to the previous one and non-

coherent. 

In a biosystem in the composition of LCCC (with only one polarization component) as a 

hypothetical we use a carrying wave, which passed, for instance, through an infinitely narrow 

time shutter lock, possessing δ - like characteristic of time transmission. Such a shutter lock 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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197 

completely depolarizes the initially polarized wave [14]. The resulting wave, passed behind the 

shutter lock, is characterized by a continuous spectrum in the whole range with evenly 

distributed spectral density, and the modified vector of the carrying wave has a form of 

orthogonal basis of elliptical polarization:
 

 

(4) 

where  –   amplitudes; ϕ, φ –  initial phases of two mutually non-coherent  

components. 

For our case, where sometimes both polarization components are employed, the above 

assumption about the infinitely narrow time shutter lock is not necessary, and the sum of the 

field in the plane of the polarized hologram has the following form: 

 
(5) 

 

 

The real part of equation (5) represents the tension of electrical vector of the aggregate wave 

[16]. 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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198 

 
(6) 

Parameters of the ellipse p and g are defined via ellipse components of polarization of each 

basis А and В, as in paper [14]  

 

(7) 

 

Endogenous biological registration of the aggregate wave field (5) pertaining to LCCC as a basic 

element of DNA-wave bio-computer [26], implies the presence of polarization-sensitive medium 

in organisms [17,18], which is spectrally non-selective across the whole range of active 

frequencies (like non-stationary fragments of a biological object, for instance LCCC). 

 

The polarization characteristics of the inducing light [19, 20] in the light-sensitive registering 

medium of LCCC allow photo-anisotropy and photo-gyrotropy. To describe the vector photo-

response of polarized-sensitive media in the papers [19, 20, 21] functions of isotropic s, 

anisotropic νL and gyrotropic νG  reactions are introduced, which are constant for all frequencies 

of active radiation. Using Johns’ matrices [8, 11] and rules of their formation [20] for cases of 

partially polarized inducing radiation, for the resulting Johns’ matrix we get: 

 

(8) 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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199 

where 

 

 

In (8)  –  the length of the initial translucent endogenous wave (for instance, photonic 

radiation of chromosomes in vivo); d – thickness of registering LCCC; n0 – complex coefficient 

of diffraction of LCCC in its original, non-irradiated state; (I1+I2)A и (I1+I2)B – first Stokes’ 

parameter; (I1-I2)A and (I1-I2)B – second Stokes’ parameter; (I±-I±)A and (I±-I±)B – fourth 

Stokes’ parameter for  A  and B  components; θA  and θB – orientational angles of the large 

ellipse’s polarization axis for A- and B-  components, respectively measured counter-clockwise 

in relation to x axis. 

 

Expressing in (8) Stokes’ parameters via pA, pB, gA ,gB  [8], for holograms’ matrix represented 

as a sum of the three matrices, in the whole range of active frequencies we will get: 

 
             (9) 

where M0 – matrix describing non-diffracted beams;  

 

(10) 

M-1 – matrix describing virtual image; 

 

 

 

(11) 

with matrix elements 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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200 

 

 

 

 

M+1  – matrix describing real image 

 

(12) 

with matrix elements 

 

 

 

Here mij≡mij(x0,y0,z0,t0) – elements, depending on coordinates and time of the 2D matrix of 

non-stationary LCCC fragment. Under the condition of rationality in biological objects, 

interrelation between functions of media reaction may be the following: 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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201 

   
(13) 

and expressions (11) and (12) can be simplified. In publication [8] is noted, that conditions in 

(13) are met with a high precision for a very large class of polarized-sensitive media. 

Provided that conditions in (13) are met, M-1 and M+1 matrices take the following form: 

 

(14) 

 

(15) 

In (14) and (15) LCCC matrix Mob is marked, and P represents the following matrix 

 

 

where  

 

 P* Mob* – Hermitian adjoint matrices. 

 

Publication [21] should be noted for the original approach to the solution of the image 

reconstruction problem, which we will be glad to use in relation to morphogenetic modelling. 

 

Under condition of endogenous illumination of the received hologram by reconstructing non-

polarized waves with complex amplitudes  

 

endogenous or exogenous in relation to the biosystem, and frequency ω' 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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202 

 

(16) 

the wave passed through the biological hologram is formed as follows: 

 

(17) 

where S – fragment size of LCCC’s hologram; r‘ –  distance between the point on the hologram 

surface and observation point. 

 

Then, successively substituting in (17) expressions for matrices (10), (14) and (15), let’s define 

null, virtual and real images, formed by the hologram. And only now determine, what 

endogenous or/and exogenous wave is necessary for the organism to utilize as to reconstruct the 

required fragment of the wave image in a virtual form. To achieve this, it is necessary to 

determine their own vectors and corresponding to them values of P matrix. It turns out that with 

a precision of up to a constant multiplier, the vectors of P matrix are in essence 

 and    with their respective values 

                                        and   . 

 

It follows that reconstruction should be performed by a wave identical to the one used during 

recording by the carrying wave. As apparently, in biosystems at LCCC level recording and 

reconstruction happen either simultaneously or in accordance with the last condition, then the 

reconstructed virtual image depiction corresponds to the real one and is not subject to any 

distortions. The latter is of principle importance for preservation of the wave image-vectors of 

morphogenesis, despite of the biosystem mobility in general as well as its LCCC in particular. 

Nonetheless, the non-stationary nature of images will appear, though over long time periods 

during organism aging and its pathological states, for instance in the case of carcinogenesis.  

 

For a wave passed without diffraction [21], the null image has the following form: 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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203 

 

(18) 

where the virtual and real images are presented as: 

 

(19) 

 

(20) 

where  

 

 

 

Integrals, pertaining to (19) and (20), as in paper [21] are solved in a linear approximation for 

distances r and r’ and for infinitely large areas of integration S, S0, T0, Ω.  Integrals S and Ω 

have a character of spatial and time δ- function respectively. The final expressions executed in a 

similar way as in paper [6], lead to the following equations for the formed space-time polarized 

hologram. For the formed virtual image under condition of   from (19) we have: 

 

(21) 



DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

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204 

 

An analysis of the last equation shows that with precision up to the multiplier it depicts complete 

reconstruction of space-time structure as well as polarization characteristics of the field of its 

non-stationary object wave for example, via LCCC. It is convenient for the biosystem to use this 

structure-image to organize itself in time and space, as this structure-image fully preserves the 

original calibrating scale without any distortions imposed by the dynamic nature of the 

biosystem and reproduces it in adequate dimensions for a developing or an adult organism.  

 

Four dimensional organization of metabolic flows and morphogenetic movement of cells and 

tissues during embryogenesis additionally partial regeneration of biosystems in case of damage 

occurs in accordance with reconstructed wave gradients of scanned polarization holograms 

(calibration of the potential space-time of the biosystem), and proven by us [22]. 

 

In application of equation (20) for the real image where   we have: 

 

(22) 

 

From equation (22) it follows that the image with pseudoscopic spatial structure of the objective 

fragment of the LCCC field is formed of distance  ,  symmetrically to the virtual 

image (19) in relation to the hologram. Wherein its circulation time profile occurs with a delay, 

caused by the light passing the distance of  , equal to the distance from the point of 

observation to the point on the surface of the real image, with conversion of polarization state, 

determined by PA*  and PB* types of matrices. 

 

 

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DNA Decipher Journal | December 2015 | Volume 5 | Issue 3 | pp. 195-205 

Tertyshniy, G. G., Gariaev, P. P. & Leonova, E. A., Polarization-Holographic Processes in Biosystems 

 

ISSN: 2159-046X DNA Decipher Journal 
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www.dnadecipher.com 

 

205 

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