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Mathematical Foundations of Jaina Karma System
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of integers as an indivisible-corresponding-section of volition is added to the neo-quantum of volition. The collections of various such semi-groups form various types of neo-quanta known as vectors (Vargaņās), 16 tensors (Spardhakas), 17 and geometric regressions (Guņahānis). 18
Thus a neo-quantum of volition, being a kinetic effect, brings about an inflow (creation) of another neo-quantum of attracted suitable Karmic matter set into a special type of configurative motion rendering it a nature structure 19, (Praksti) of Karma. Such a neoquantum of Karmic matter, in turn, when annihilated or decayed at its rise will naturally impart a reaction-impulse to the attached soul in its bond, 20 producing in it a neo-quantum of volition again. Such actions and reactions are mutual. Let it be noted that such volitions or affections are extra-becomings (Vibhāvas) and do not belong to the real controls like the knowledge of the soul. 2 1
The above description is available in certain texts, but the definition of such a neo-quantum of affection of a soul has not appeared to the author anywhere. However, the measure of the least effective affection may correspond to the least potential effect which has been defined to be containing non-summable universes of indivisible-corresponding-sections of power at an affection station corresponding to an ultimate particle of matter.22 The least increase in this power may be called its indivisible-correspondingsection. Thus basic vector (Varga), vector (Vargaņā), tensor (Spardhaka) and geometric regression (Guņahāni) etc. may also be defined, corresponding to affection. Similar picture of volition is to be described in case of the Karmic matter brought into four kinds of bonds due to their natural configurative structure, affine and anti-afsine indivisible-correspondings- ections of touch, and other causes. We may further state that just as a neo-quantum of volition effects (i) the inflow (creation) of a neo-quantum of Karmic matter (Pradeśas) and (ii) sets it rolling into a nature configurative structure (Praksti), so also a neo-quantum of affection procreates (i) a life-stay (life-time) of Karmic existence (Sthiti) as an ordered set of instants in the neo-quantum of Karmic matter so inflown, with various lifestays for different nature-structures, and (ii) an intensity of reactive impartation (anubhāga) as an ordered set of indivisible-correspondingsections into the neo-quantum of Karmic matter. Thus all the naturestructures, particles, life-stays, and impartation-intensity of neoquantum of Karmic matter, known as instant-effective-bond, are
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