To explain this spreading divergence we have to apply the theory of Probability ( P)of an event as Mathematical probability ie = ( p/p+ q ) where p=number of ways that the event can occur ,q= number of ways of non-occurrence of the event . Let us consider a simple event is a composite one . The probability of a composite event as a product of the individual simple probabilities ie P( A ) So the event building composite probabibility( 4 ) will be equal to P(A ) ^2

=( p/p+q ) ^ 2 ______**equation ( **1** )** .

Now considering composite Probability as Union of two individual probabilities we get :

P( A )**U** P ( A ) = P( A ) **Union** P ( A ) = P ( A ) ^2 =[ P( A )] ^2 **U**[ P ( A ) ^2 ]= P( A ) ^4 =........

....[P ( A )^n ]___________________**equation** ( 2 ) [ n =Integer = 0,1, 2 .............].

This is known as divergence theorem of Probability.

From the theorem [equation ( 2 ) so **data** can be generated by the following equation derived from probability statistics .

Viral load or density function becomes (y ) = [ P (A ) ] ^ n = 1+ P ( A ) + P( A ) ^2 +...........P( A ) ^n

_____________________________**equation** ( 3 )

Taking differential operator ( D = d/dx ) on y = D ( y )= f’(y ) = n* [ P( A ) ]^(n-1 )

f’’( y ) = n(n-1)*[P( A ) ]^( n-2 ) , f’’’( y ) = n(n-1)( n-2 ) [ P(A )^( n-3 )

Using Taylor’s expansion ( 7 ) series Σ Dn ( y ) = f’(y) +f’’(y) +f ‘’’( y ) + ................Infinity ____________**equation** ( 4)

Finally validating the probability density in terms of bio energetic probability ( 9 ) by Nernst’s

Theorem as ∆S = Change in entropy = K Ln[P ( A )^n ], Where K= Boltzmann Constant _____

______________**equation** ( 5 ) ,the randomness of spreading of infection . This randomness

can be also explained by the bio energetic state function Entropy ( 9 ).

The spreading of G-type mutant ( D614G) , S-type mutant ( Del 69-70 ) can be validated as follows :

**D614G validation** ( 12 )– This type of infection is more fatal starting from 46 Yrs above statistically validated by Morgan –Morgan –Finney ( MMF ) regression.

**( Del 69- 70 ) validation **( 13,14 )- This type of new type of infection with deleted residues of amino acid 69-70 could also be investigated W.E.F ** last year of October ,**2020 in UK or around London city also termed as Variant of Investigation( **VUI** ) . The scattered data in and around this community also validated by **Rational and Harris fits** of probabilistic regression.