Book Title: Role of Space Time in Jainas Syadavada and Quantum Theory Author(s): Filita Bharucha Publisher: Shri Satguru PublicationsPage 76
________________ 66 Role of Space-Time in Jaina's Syädväda Appendix I I begin the seven dimensional Logico Spatio-Temporal Manifold* (Ro x T) x Lim,m) by supporting my formula equation() (Ro x T) x L'(m,n= {(x,y,z),t; [n, (m,,m.)]} for (x,y,z) E Rot E T for Lin, m) is a Logical Manifold of Heterologic and n 1(n.... natural numbers and 0), 0<m, 51,05m, <1 and 'E' denotes 'belongs to' and 'X' as Cartesian Product. By quoting the following form M. Friedman**, "viewing space-time as a four-dimensional manifold does not prejudice the question in favour of the unification of space and time characteristic of relativity theory. It simply expresses the need for four co-ordinates to specify any event uniquely. The separate space and time of common sense (and some formulations of Newton theory) can also be described in terms of a four dimensional manifold, one with the simple product of three dimensional Euclidean space and one dimensional Newtonian time) We note that its seven-dimensional because apart from four-dimensional of (R3 x T), we have the other dimensionals of one dimension corresponding the ORDER and two dimensions of DEGREE of logical Manifold say Lim,m) (See Sec.II) Foundations of space-time theories (Relativitic Physics, Philosophy of Science) Michael Friedman, (Princeton University Press, Princeton, New Jersey). * * Jain Education International For Private & Personal Use Only www.jainelibrary.orgPage Navigation
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