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Mathematical Foundations of Jaina Karma System
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multiplied by the integer for that instantaneous bond, because there will be a simple addition of the same elements at the place, an integral times. Yet it is important to note that the intensities of corresponding elements will not change. Further, perturbations may change the tensorial structures of matrices. III. A Quantum-Picture :
Thus in manipulating any cell-element of a matrix such that the amount of matter is added but the intensity of the added matter remains the same, we shall adopt a neo-principle of correspondence for representing the elements of both the forms of neo-matrix simultaneously like Heisenberg's.25 The "existence of Karma-bond" as depicted through triangular matrix26 in the Prakric texts suggests the following formulation of the elements of a triangular matrix with altitudes as well, as rows and columns. The rows “p” start from bottom right most corner from which also start the columns "c" and the altitude “a”. The general element is proposed to be a nisus (Nişeka) 27 :
ga e 20 i Vr,c tr,c
arico
Here 'q part is the Karmic bond matter of structure-nature a, r and c being the rows and columns giving its position in the geometric regressions of a particular instant-effective-bond column, fed every instant from right as an input. This is the element which is the functional of space and the involved number of particles. This may also be said to be an occupation representation number method. V r, c will represent the indivisible-corresponding-section set and its position in r, c. Similarly the t r, c will represent the position of instant in the dynamics process of existence states, input material, output material as well as the transformed existence state every instant. The element represents the function of time and intensity. Thus the total matrix picture, in place of being a plane one, now will be a space neo-matrix and its three infinite dimensions will depict the above phenomena. For example, the orthogonal altitude z, row x, column y arrays stand as follows :
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