Astronomy and Cosmology

Author(s): L C Jain
Publisher: Rajasthan Prakrit Bharti Sansthan Jaipur

Page 40

2.28
The movement of the transmigrating souls is with bend also prior to the fourth instant.
2.29 Movement without a bend (takes) one instant. 2:30 For one, two, or three instants ( the soul remains ) non-assimilative.
The above shows how a transmigrating soul or the matter associated with it moves from a loka-point to another loka-point, in any case, before four instants. In general, the three coordinates are needed for such a depiction :
The movement of the body from 0 to O' involves three paths OA, A B, B O’, each being traversed in an instant, thus three instants in all are involved in such a movement.
o (20%)
Thus there is no corner of the universe which is not reachable before four instants, the eight central points and the rows & columons of spacepoints making worldlines, or paths in the
specific circumstances. This speaks of the principle of least time, or the principle of quickest approach, from which could also be derived the principle of least path. It was believed that amongst all movements, the nature selects only those which reaches the desired location with expenditure of least action (energy X time).49 COSMIC PERIODS AND CYCLES
The Jaina literature, while depicting norms and measures of quantities pertaining to observable events (say, those of astronomy), stand 49. With these theories were connected the contributors Maupertuis
(+1698 to + 1759), Fermat (+ 1601 to + 1665), Hamilton (+ 1805 to * 1865), Jacobi (+ 1804 to 1851) and so on.
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