Book Title: Role of Space Time in Jainas Syadavada and Quantum Theory
Author(s): Filita Bharucha
Publisher: Shri Satguru Publications

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Page 62
________________ 52 Role of Space-Time in Jaina's Syadváda It is not possible to discuss all the Classical Space-time theories in that book, however, we mention some of them. (a) Leibnizian Space-Time which I have all the Classical Space-Time Theories in that book, however, we mention some of them. (b) Neo-Newtonian Mainly in effect of or Galilean Space-Time 3 particular inertial frame (c) Aristotelian Space-Time. (d) Machian Space-Time. (e) Maxwellian Space-Time. I summarize these Classical Space-Time Theories in a Table: Sn Name Structures | Symmetrics Invariants 1. Machian Absolute x + xy = R + aasty Relative partiSpace-time simultaniety t→ť = f(t), df/dt > cle distances Structure of the instanta neous spaces. 2. Leibnizian (1) + time x + xy = R (1)xB + ao(1) Relative particle Space-time metrict → t'=t+ const velocities, acc elerations, etc. 3. Maxwellian (2) + t+t' = t + const Rotation for Space-time standard of x→ x'=R x + a°(9 an extended rotation body. 4. Neo-Newto (3) + inertial t +ť=t+const. Acceleration nian Space structure x + x'=R x + vo(t) + of a particle time const. 5. Full Newto (4) + absolute x + x' = R XP + const. Velocity of a |nian Space space It ->ť = t + const. particle time Aristotelian (5) + distin- It →ť = t + const. Distance from Space-time guished 1x → x'= R XB the center of spatial origin the universe Note: R* (t) is a time dependent orthonogal matrix. ao(t) are arbitrary smooth functions of time. Jain Education International For Private & Personal Use Only www.jainelibrary.org

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