Quantum Reality and Theory of Śūnya pp 143-157 | Cite as

# Quantum Reality and the Concepts of Infinity, Infinitesimal, and Zero in Mathematical and Vedic Sciences

## Abstract

Absolute reality in Nature has two aspects of its existence―one is only realizable, and the other is describable with an element of realization. While the objective sciences follow the second route to understand the absolute reality, the subjective sciences, on the other hand, go mostly by the former. It will be argued in this paper that the quantum reality, manifesting through the subjects of mechanics of microscopic systems and quantum field theory, is not the final step in approaching the absolute reality. Like other cases in the history, it only offers a rung in the ladder and that too strictly in the domain of analytical description vs. accurate measurement. The understanding of quantum reality, in fact, brings in the concepts of infinity (*ananta*), infinitesimal, and zero (*śūnya*). Further, these concepts while are necessary in precise mathematical terms in objective sciences, in philosophical terms in Vedic (subjective) sciences, however, these concepts are found to have much deeper meanings. Some mathematical tools for this purpose are pinpointed here which can act as a guide for analytical studies of these concepts in Vedic literature.

## Keywords

Infinity Infinitesimal Zero Mathematical science Vedic science Macroscopic systems Quantum field theory## Notes

### Acknowledgments

The post-retirement association with Ramjas College and the Department of Physics and Astrophysics, University of Delhi, is gratefully acknowledged. Thanks are also due to Professor S. R. Bhatt for encouragement and many inspiring discussions.

- 1.
In fact, the quantum reality, in philosophical terms, is described in various ways in different contexts. There exists a huge literature on this subject. We cite here only a few. See, for example, [1, 3, 18].

- 2.
See, for example, [17].

- 3.
- 4.
- 5.
- 6.
Here we cite the spirit and only meaning of a few verses quoted in

*Satyartha Prakash*by Swami Dayanand Saraswati. - 7.
See any edition of Srimad Bhagvad-Gītā, Gītā Press Gorakhpur (here abbreviated as SMBG).

- 8.
See Footnote 6.

## References

- 1.Goswami A. Quantum mechanics. Dubuque: Wm. C. Brown Puablisher; 1992.Google Scholar
- 2.Itzykson C, Zuber JB. Quantum field theory. International Student Edition; 1986.Google Scholar
- 3.Jammer M. The philosophy of quantum mechanics: the interpretation of quantum mechanics in historical perspective. New York: Wiley; 1974.Google Scholar
- 4.Kaku M. Quantum field theory: a modern introduction. New York: Oxford University Press; 1993.Google Scholar
- 5.Kaushal RS. Structural analogies in understanding nature. New Delhi: AnaMāyā Publishers; 2003.Google Scholar
- 6.Kaushal RS. Abstraction and structural analogies in mathematical sciences. In: Grattan-Guinness I, Yadav BS. History of the mathematical sciences. New Delhi: Hindustan Book Agency; 2004. p. 33–52.CrossRefGoogle Scholar
- 7.Kaushal RS. Structural analogies, abstraction and mathematical concepts in vedic sciences. Indian Philos Q. 2006;33:125–46.Google Scholar
- 8.Kaushal RS. Classical and quantum mechanics of complex Hamiltonian systems. Pramana J Phys. 2009;73:287–97.CrossRefGoogle Scholar
- 9.Kaushal RS. Discretization of characteristics: a concept prevailing in mathematics and behavioral sciences. Indian Philos Q. 2010;37:149–73.Google Scholar
- 10.Kaushal RS. The science of philosophy: theory of fundamental processes in human behaviour and experiences. New Delhi: D.K. Print World; 2011.Google Scholar
- 11.Kaushal RS. Psychophysics and human interactions: art and science of integrating body, mind and soul. New Delhi: New Age Books (Motilal Banarasidass); 2015.Google Scholar
- 12.Kaushal RS. The psychophysics of Chevreul hand-held pendulum. J Conscious Stud (UK). 2016a;23(9–10):134–52.Google Scholar
- 13.Kaushal RS. All-pervading cosmic consciousness field of vedic science and the quantum field theory of modern physics, to appear in proceedings of international conference on WAVES-2016, held at Bharatiya Vidyā Bhavan, New Delhi during 15–18 December 2016, (Abstract No. 53). 2016b.Google Scholar
- 14.Pandey GS. The vedic concepts of infinity and infinitesimal system. In: Grattan Guinness I, Yadav BS, editors. History of mathematical sciences. New Delhi: Hindustan Book Agency; 2004. p. 65–82.CrossRefGoogle Scholar
- 15.Podolny R. Something called nothing: physical vacuum what is it? Moscow: Mir Publishers; 1986.Google Scholar
- 16.Ryder LH. Quantum field theory. Cambridge: Cambridge University Press; 1987.Google Scholar
- 17.Schiff LI. Quantum mechanics. 3rd ed. New York: McGraw-Hill Book Co.; 1968.Google Scholar
- 18.Stapp HP. Mind, matter and quantum mechanics. 3rd ed. Berlin/Heidelberg: Springer; 2009.CrossRefGoogle Scholar