Cosmology Old and New

SR No.: 006547
Original Sutra Author: N/A
Author: G R Jain
Publisher: Bharatiya Gyanpith
Publication Year: 1991
Total Pages: 232
Language: English
Classification: Book_English & Philosophy
File Size: 12 MB

Page 128

COSMOLOGY OLD AND NEW
cases of abnormal condensation like the superposition of lights from different lamps in a single room.
The same reason has been assigned for this crowding by other writers. For instance :
"अधिकरणविरोधादानन्त्याभाव इति चेन्न, सूक्ष्मपरिणामावगाहन
96
सामर्थ्यात् ।।
Or
11216
अवगाहनसामर्थ्यात् सूक्ष्मत्वपरिणामिनः । तिष्ठन्त्येकप्रदेशेऽपि बहवोऽपि हि पुद्गलाः ॥ 217
This distribution of atoms in pradesas or cells of space has a very great likening to the distribution of particles in BoseEinstein or Fermi-Dirac Statistics where probabilities of various combinations have been mathematically calculated. We can only make a passing mention of this highly complex piece of mathematics.
In the standard work A Treatise on Heat' by Dr. M. N. Saha, F.R.S. and B.N. Srivastava, the calculation of probability from Bose-Einstein Statistics is given on p. 717. "The next operation is to distribute these N-particles amongst A,-cells so that each cell may contain 0,1,2,......up to N, identical particles." Then follows the expression for the probability of the various
states.
Also on page 718 "In the Bose-Einstein Statistics a particular cell or degree of freedom was supposed to be capable of accommodating any number of particles. Fermi conceives a third kind of statistics in which one cell should not accommodate more than one particle."
How an infinite number of atoms in a subtle (Süksma) state can be accommodated in one cell has been discussed in pages 13-14 ante.
216. Tattvärtha-rājavārtika on sutra 5.10. 217. Tattvärtha-sära, 3.26.