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

  • Radhey Shyam Kaushal


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.


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



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. 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. 2.

    See, for example, [17].

  3. 3.

    See, for example, ([2, 16]: [4]).

  4. 4.

    See, for example, ([2, 16]: [4]).

  5. 5.

    See, for example, ([2, 16]: [4]).

  6. 6.

    Here we cite the spirit and only meaning of a few verses quoted in Satyartha Prakash by Swami Dayanand Saraswati.

  7. 7.

    See any edition of Srimad Bhagvad-Gītā, Gītā Press Gorakhpur (here abbreviated as SMBG).

  8. 8.

    See Footnote 6.



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© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Radhey Shyam Kaushal
    • 1
  1. 1.Department of Physics & AstrophysicsUniversity of DelhiNew DelhiIndia

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