The Matrix Representation Karma Paramanus
So far as the karmic phenomena are concerned, the relation between a mundane bios (working in the path of total freedom) and the karmic matter is conjugate. hence karmic matter and mundane bios can be considered as neo space analytically and the operand, the operator and the transform can be studied with number of forms and images or mapping.
In the previous chapter the karma paramanu has been defined. The karma paramanu which possesses the least amount of energy can be termed as indivisible corresponding section (avibhagi praticcheda) can be abbreviated as ICS for convenience. The class of the karma paramanus possessing the same number of ICS is termed as variate (varga) which can be treated as neo quantum of karmic matter. The collection of such groups forms various types of neo quanta known as vectors (vargana) tensors (spardhaka) and geometric regressions (gunahanies) which are discussed in the previous chapter in detail.
Thus, being a karmic effect, these neo quanta can bring inflow i.e. creation of another neo quanta of attracted suitable karmic matter set rendering its nature and structure as per the phases of at that instant. Such neo quantum of a karmic matter, in turn, when annihilated or decayed at its rise would naturally impart reaction impulse on the bios – matter bondage producing new neo quanta. Such actions and reactions are mutual and subjected to various types of mapping which can be studied through dynamic bio-atomic system theory.
Following neo matrix ‘S’ can be considered as one example of such actions and reactions for particular configuration. The matrix contains the number of neo quanta the elements, having ‘w’ rows and ‘s’ columns where w stands for number of instants and s for super variforms or tensors. ‘v’ is taken as basic vector which contains least number of neo quanta and ‘d’ is taken as the number of karma paramanus decayed in the instant forming new neo quantum and can be considered as common difference. Here S11=v, the basic neo quanta .when d quantity gets decayed then the remaining quantity which is new neo quanta is now v-d and so on.
The first matrix is for the first geometric regression . So the matrix can be written as follows:
The first geometric regression
v v-wd ———————— v-w(s-1)
v-d v-(w+1)d ———————— v-{w(s-1)+1}d
— — ———————— —
—
—
—
—
—
v-(w-1)d v-(2w-1)d ————————- v-(ws-1)d
For second geometric regression the basic quantity and common difference would beexactly half than that of the
first. So the matrix for second geometric regression can be written as follows :
The second geometric regression
v/2 (v/2) – (wd/2) ———————– (v/2)-{w(s-1)d/2}
(v/2)-(d/2) (v/2)-{(w+1)d/2} ———————- (v/2)-{w(s-1)+1}d/2
—
—
—
—
—
—
(v/2)-(w-1)d/2 (v/2)-(2w-1)d/2 ———————- (v/2)-(ws-1)d/2
Similarly going in the same sequence different matrices can be drawn. So for the nth geometric regression the
matrix can be computed as follows:
The nth geometric regression
v/2n-1 (v/2n-1)-wd/2n-1 ————- (v/2n-1)-w(s-1)d/2n-1
(v/2n-1)-(d/2n-1) (v/2n-1)-(w+1)d/2n-1 ————- (v/2n-1)-{w(s-1)+1}d/2n-1
— — —
—
—
—
—
—
(v/2n-1)-(w-1)d/2n-1 (v/2n-1)-(2w-1)d/2n-1 ———— (v/2n-1)-(ws-1)d/2n-1
The following neo matrix can be accounted for the recoil energy. Here ‘c’ stands for basic ICS. The matrix is
again w X s matrix.
The first geometric regression
c 2c ———————— sc
c+1 2c+1 ———————— sc+1
—
—
—
–ss
—
—
c+(w-1) 2c+(w-1) ——————— sc+(w-1)
The second geometric regression
(s+1)c (s+2)c ———————— 2sc
(s+1)c+1 (s+2)c+1 ———————— 2sc+1
—
—
—
—
—
—
(s+1)c+(w-1) (s+2)c+(w-1) ——————— 2sc
nth geometric regression
{(n-1)s+1}c {(n-1)s+2}c ————— nsc
{(n-1)s+1}c+1 {(n-1)s+2}c+1 ————– nsc+1
—
—
—
—
—
—
{(n-1)s+1}c+(w-1) {(n-1)s+2}c+(w-1) ————– nsc+(w-1)
All the above matrices are pertaining to a particular nature of the karma paramanus of karmic matter.