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ARTICLES

  • “Classical Time Symmetric Electrodynamics.” J. Phys. A: Math. Gen. 13 (1980) 3303–17.
  • “Interpretation of Quantum Mechanics as a Theory of Extended Particles.” Int. J. Theor. Phys. 20 (1981) 681–96.
  • “Products and Compositions with the Dirac Delta Function.” J. Phys. A: Math. Gen. 15 (1982) 381–96.
  • “Junction Conditions in General Relativity.” J. Phys. A: Math. Gen. 15 (1982) 1785–97.
  • “Ancient and Modern Cosmology.” In: Proceedings of IAGRG X (1982) 83–104.
  • “On the Square of ” J. Phys. A: Math. Gen. 16 (1983) 3739–53.
  • “Renormalisation, Extended Particles and Non-Locality.” Hadronic J. Suppl. 1 (1985) 352–70.
  • “Distributional Matter Tensors in Relativity.” In: Proc. MG5, D. Blair and M. J. Buckingham (ed), R. Ruffini (series ed.), World Scientific, Singapore, 1989, 421–23.
  • “Parallel MultiGrid Methods for Elliptic Partial Differential Equations.” In: Advanced Computing, V. P. Bhatkar et al (eds), Tata McGraw Hill, New Delhi, 1991, 290–98.
  • (with K. Rahirkar) “Higher-Order Frontal Methods for Ordinary Differential Equations. In: Advanced Computing, V. P. Bhatkar et al (eds) Tata McGraw Hill, New Delhi, 1991, 280–89.
  • (with N. Padmini and P. S. Joag) “Hybrid Methods for Parabolic Partial Differential Equations.” In: Advanced Computing, V. P. Bhatkar et al (eds) Tata McGraw Hill, New Delhi, 1991, 249–57.

    “On Time.” A series of articles for the pedagogical journal Physics Education (India), as follows.

  • I: Philosophical Time, 7 (1990) 204–17.
  • II: Newton’s Time, 8 (1991) 15–25.
  • IIIA: The Michelson-Morley Experiment, 8 (1991) 193–200.
  • IIIB: Einstein’s Time, 8 (1992) 293–305.
  • IV: Thermodynamic Time, 9 (1992) 44–62.
  • VA: The Electromagnetic Field, 9 (1992) 119–128.
  • VB: Electromagnetic Time, 9 (1992) 251–265.
  • VIA: Bell and Non-Locality, 10 (1993) 55–73.
  • VIB: Quantum Mechanical Time, 10 (1993) 143–161.
  • VII: Cosmological Time, 11 (1994) 49–65.
  • “Time in Indian and Western Traditions and Time in Physics.” In: Mathematics, Astronomy and Biology in Indian Tradition, PHISPC Monograph Series on History of Philosophy, Science, and Culture in Indian, No. 3 (D. P. Chattopadhyaya and Ravinder Kumar eds) ICPR, New Delhi (1995) 56–93.
  • “Reconstruction of Values: the Role of Science.” In: Cultural Reorientation in Modern India (Indu Banga and Jaidev ed), IIAS, Shimla, 1996, 369–392.
  • “The Historicity of p and the Reality of Rocks” [a tribute to Paulos Mar Gregorios] I: Mainstream, 29 Nov 1997, 19–21, and II: Mainstream, 6 Dec 1997, 29–32.
  • “Time in Medieval India.” In: Science, Philosophy, and Culture: Multidisciplinary Explorations, Part 2 (D. P. Chattopadhyaya and Ravinder Kumar eds), PHISPC, New Delhi (1997) 253–78. Also in: History of Indian Science, Technology, and Culture, AD 1000–1800, A. Rahman (ed), PHISPC/Oxford Univ. Press, 1998, New Delhi. Reprinted in Indian Horizons, 46(4) (1999) and 47(1) (2000), 40–71.
  • “Approximation and Proof in the Yuktibhâsâ Derivation of Madhava’s Sine Series”. Proc. National Conference on Applied Sciences in Sanskrit, Agra, Feb 1999. In Proc.
  • “Mathematics and Culture”, in History, Culture and Truth: Essays Presented to D. P. Chattopadhyaya, Daya Krishna and K. Satchidananda Murthy (eds), Kalki Prakash, New Delhi, 1999, 179–193. Reprinted in Philosophy of Mathematics Education 11.
  • “Supercomputing in Finance”, Pranjana, 3 (1&2) 2000, 11–36.
  • “Computers, Mathematics Education, and the Alternative Epistemology of the Calculus in the YuktiBhâsâ”, Philosophy East and West, 51:3, 325–362, July 2001.
  • “How Should Euclidean Geometry be Taught”, in Nagarjuna G. (ed) History and Philosophy of Science: Implications for Science Education, Homi Bhabha Centre, Bombay, 2001, 241–260.
  • “The Mathematical Epistemology of Sunya,” in: The Concept of Sunya, (Ed) A. K. Bag and S. R. Sarma, IGNCA, INSA and Aryan Books International, New Delhi, 2002, 168–181.
  • “Interactions between India, Western and Central Asia, and China in Mathematics and Astronomy,” in : A. Rahman (ed) Interactions between India, Western and Central Asia, and China, PHISPC, New Delhi, 2002, 227–254.
  • “The Electrodynamic 2-Body Problem and the Origin of Quantum Mechanics” Found. Phys. 34 (2004) 937–62.
  • “Math Wars and the Epistemic Divide in Mathematics” in Proc. epiSTEME I, Homi Bhabha Centre, Mumbai, 2005.
  • “Time: What is it That it can be Measured” Science & Education, (Kluwer/Springer BV) 15(6) (2006) pp. 537–551 DOI 10.1007/s11191-005-5287-z. Also in Proc. 2nd International Pendulum Conference, ed. M. R. Matthews, UNSW, Sydney, 2005, pp. 207-224.
  • “Atman, Quasi-Recurrence and paticca samuppada”, in Self, Science and Society, Theoretical and Historical Perspectives, ed. D. P. Chattopadhyaya, and A. K. Sengupta, PHISPC, New Delhi, 2005, pp. 196-206.
  • “Time Measurement in Classical Indian Tradition and the Present-Day Representation of Time as a Continuum, in Proc. 2nd International Pendulum Conference, ed. M. R. Matthews, UNSW, Sydney, 2005, pp. 225-248.
  • “Kamâl or Râpalagâi” in Indo-Portuguese Encounters (ed) L. Varadarajan, INSA, New Delhi, Universidade Nova de Lisboa, Lisbon, 2006, vol 2, pp. 483–504. Revised version in Cultural Foundations of Mathematics.
  • “The Religious Roots of Mathematics”, Theory, Culture & Society 23(1–2) Jan-March 2006, Spl. Issue ed. Mike Featherstone, Couze Venn, Ryan Bishop, and John Phillips, pp. 95–97.
  • “Time Travel and the Reality of Spontaneity” Found. Phys., 36(7) 2006, pp. 1099-1113. DOI: 10.1007/s10701-006-9056-x.
  • “Benedict’s Maledicts”, Indian Journal of Secularism, 10(3) (2006) pp. 79-90.
  • “Kâla and Dik” chp. 5 in P. K. Sen and P. K. Sen (ed), PHISPC Volume on Philosophical Concepts Relevant to Science in Early Indian Tradition PHISPC vol III.5, 2008, pp. 67–92.
  • “Proofs and Refutations in Mathematics and Physics” in P. K. Sengupta (ed.) PHISPC Volume on History and Philosophy of Science, (to appear).
  • “Cyberspace: What we Need to do to Keep it Alive” in Jai Sen et al. (ed) Imagining Alternatives (to appear)
  • “Non-Western Logic”. Article for Springer Encyclopaedia of Non-Western Science and Technology,  2008.
  • “Non-Western Views of Time”. Article for Encyclopaedia of Non-Western Science and Technology, Kluwer/Springer, 2008.
  • “Teaching racist history”, Indian Journal of Secularism 11(4) (2008) 25-28.
  • “Good-Bye Euclid!” Bhartiya Samajik Chintan VII (4) (New Series) Jan-March 2009, pp. 255-264.
  • “Indian Rope Trick: Rope vs Compass Box”  Bhartiya Samajik Chintan VII (4) (New Series) Jan-March 2009, pp. 265-269.
  • “Kosambi the Mathematician”, Economic and Political Weekly, 44(20) May 16–22 (2009) pp. 33–45.  
  • (list incomplete)

PAPERS IN CONFERENCES,  SHORT NOTES, AND TALKS

  • “Relativistic and Statistical Foundations of Quantum Mechanics.” ISI Discussion paper 7802. Modified version presented at the Einstein Centenary Symposium, Ahmedabad, Feb 1979. Abstract in Proc. (A. R. Prasanna et al ed).
  • “Ancient and Modern Cosmology.” Paper presented at IAGRG X, Bangalore, Dec 1979.
  • “Junction Conditions in General Relativity.” Paper presented at the Einstein Centenary Symposium, Nagpur, Feb, 1980. Abstract in Proc. (T. Karade et al eds).
  • “Problems in Causality.” Invited talk delivered at the S. N. Bose Centenary symposium, Calcutta, 1981.
  • “Recurrence in Dynamical Systems: a Review of Applications.” Paper presented at the Annual Seminar on Probability and Statistical Inference, Pune, June, 1981.
  • (with A. Subramaniam) “Generalised Maximum Likelihood Estimation.” Paper presented at the Annual Seminar on Probability and Statistical Inference, Pune, June 1983.
  • (with N. Dadhich) “Is Gravitational Screening Possible?” Paper presented at GR 10, Padova, July 1983. Abstract in Proc. (B. Bertotti et al eds).
  • “Gravitational Screening.” Paper presented at IAGRG XII, Pune, Nov, 1983.
  • “Renormalisation, Extended Particles, and Non-Locality.” Invited talk delivered at the International Conference on the Foundations of Quantum Mechanics, Calcutta, Feb 1985.
  • “The Magnetic Redshift: a New Model of Quasars.” Paper presented at GR 11, Stockholm, July, 1986. Abstract in Proc. (K. Rosquist et al eds).
  • “Schrödinger’s Cat.” Invited talk delivered at the Schrödinger Centenary Conference, CAT, Indore, Nov, 1987.
  • “General Theory of Shocks.” Paper presented at the Fifth Marcel Grossman Meeting on General Relativity, Perth, Aug 1988. In Proc. D. Blair et al eds)
  • “Quantum Mechanics and the Micro-Physical Structure of Time.” Invited talk delivered at the International Conference on the Conceptual Foundations of Quantum Mechanics, New Delhi, Dec 1989.
  • “MultiGrid Methods: Fine-Grained Parallelisation.” Paper presented at the BARC workshop on Parallel Processing, Bombay, Feb 1990. In Proc. PA1–PA9.
  • “History-Dependence of the Relativistic Many-Body Problem: are Instantaneous Approximations Legitimate?” Abstract submitted to GR 13, Cordoba, June 1992.
  • “Time in Indian and Western Traditions and Time in Physics.” Paper presented at the Seminar on Scientific Traditions in India, March, 1993. PHISPC Occasional Paper No. 23, New Delhi.
  • “Causality, Morality, and the Topology of Time in Physics.” Talk delivered at the Seminar on Causality in Physics and Philosophy, Calcutta, Aug 1993.
  • “Supercomputing: Where India Stands.” Invited talk delivered to the Computer Society of India, New Delhi, Nov 1993.
  • “On the Development of Navier-Stokes Flow Downstream of a Shock.” Paper presented at ISIAM II, Madras, 1994. Abstract in Proc.
  • “Time Travel and the Reality of Spontaneity.” Invited talk delivered at the Seminar on Reality in Physics and Philosophy, Calcutta, Feb 1996.
  • “Simulating a Tilt in the Arrow of Time: Preliminary Results.” Invited paper presented at the Seminar on Some Aspects of Theoretical Physics, Indian Statistical Institute, Calcutta, 14–15 May 1996.
  • “Time Travel and Schrödinger’s Cat.” Invited talk delivered at the International Symposium on Seventy Years of Schrödinger’s Wave Mechanics, New Delhi, Dec 1996.
  • “The Mathematical Epistemology of Sunya.” Invited paper, summarising interventions during the Seminar on the Concept of Sunya, INSA and IGNCA, New Delhi, Feb. 1997.
  • “The Tachyonic Anti-telephone and Tolman’s Grandfather.” Invited talk delivered at the Heisenberg Colloquium, Shimla, Aug 1997.
  • “Penrose’s Theory of the Mind: a Rebuttal.” Debate with Roger Penrose, in: Matter of the Mind, India International Centre, New Delhi, 22–23 Dec 1997.
  • “The Electrodynamic 2–body Problem and the Origin of Quantum Mechanics.” Paper presented at the International Symposium on Uncertain Reality, New Delhi, 5–9 Jan 1998.
  • “Kamâl or Rapalagai.” Paper presented at the Indo-Portuguese Conference on History: Science, Technology and Culture, Indian National Science Academy, New Delhi, Dec 1998.
  • “Approximation and Proof in the Yuktibhâsâ Derivation of Madhava’s Sine Series”. Paper presented at the National Conference on Applied Sciences in Sanskrit, Agra, Feb 1999. In Proc.
  • “How Should Euclidean Geometry be Taught”. Paper presented at the International Workshop on History of Science, implications for Science Education, Homi Bhabha Centre, TIFR, Bombay, Feb, 1999. (To appear in Proc.)
  • “Some Remarks on the Indian Epistemology of Mathematics.” Talk delivered at the International Laboratory for the History of Science, The Material Culture of Calculation, Max Planck Institute, Berlin, June, 1999.
  • “Relativity: History and History Dependence.” Paper presented at the On Time Seminar, British Society for History of Science, and Royal Society for History of Science, Liverpool, August 1999.
  • “Time Travel.” Invited talk at the International Seminar, Retrocausality Day, University of Groningen, September 1999.
  • “Some Remarks on Ontology and Logic in Buddhism, Jainism and Quantum Mechanics.” Invited talk at the conference on Science et engagement ontologique, Barbizon, October, 1999.
  • (with Dennis Almeida) “Transmission of the Calculus from India to Europe, Part I: Motivation and Opportunity”, Paper presented at the International Aryabhata Conference, Trivandrum, Jan 2000.
  • (with Dennis Almeida) “Transmission of the Calculus from India to Europe, Part II: Circumstantial and Documentary Evidence”, Paper presented at the International Aryabhata Conference, Trivandrum Jan 2000.
  • “Computers, Mathematics Education, and the Alternative Epistemology of the Calculus in the Yuktibhasa,” Invited plenary talk at the 8th East-West Conference, University of Hawai’i, Jan, 2000.
  • “Technology and Politics of IT: India’s Cyber Laws.” Opening talk delivered at a symposium on “Information Technology: Undeclared Dimensions,” India International Centre, Delhi, April 2000. (Respondent: Praful Bidwai. Other speakers: C. P. Chandrashekhar, Arun Ghosh, Yashpal, Kapila Vatsyayana, Shiv Vishwanathan.)
  • “The Augustine-Hawking Argument against Closed Time Loops and its Refutation”, Talk delivered at the International Conference on Language, Reality, and Truth, Calcutta, Aug 2000.
  • “How and Why the Calculus Was Imported into Europe.” Talk delivered at the International Conference on Knowledge and East-West Transitions, National Institute of Advanced Studies, Bangalore, Dec 2000.
  • “Supercomputing in Finance”, Paper presented at the 2nd International Conference on Human Dimensions in the Information Age, New Delhi, Jan 2001. (Awarded Best Paper Award).
  • “Culture, Calculus, and Computing”, Talk delivered at the Seminar on Emerging Areas of Information Technology, Bhopal, May 2001.
  • “The Emperor’s New Course”. Invited talk at the India International Centre meeting on Vedic Astrology in University Education: a Sound Decision? Dec 2001. Other speakers Raja Ramanna, and Pushpa Bhargava.
  • “Philosophy and Information Technology”. Invited talk at the Seminar on Innovative Courses in Philosophy. JNU, Dec 2001.
  • “Atman, Quasi-Recurrence, and Paticca Samuppâda”. Invited talk delivered at the PHISPC-CSC-CONSAVY seminar on Self, Society, and Science: Theoretical and Historical Perspectives, Vice-President’s Lodge, Le Meridien, and Centre for Studies in Civilizations, New Delhi 24–26 March 2002.
  • “Traditional Knowledge, History, Science and Culture”. Invited talk delivered at the Seminar on Traditional Knowledge Systems, Binsar, Almora, 3–7 October 2002.
  • “Sunya: from Zero to Java. Number Representations in Algorismus, Formal Mathematics, and Computers”. Invited talk delivered at Haldwani, 8 October 2002.
  • “Refsode: Non-Normal, Non-Markovian Methods of Computing Risk”, talk delivered at the KrESIT, IIT: Mumbai, August 2003.
  • “Could India’s Failed Monsoon(2002) have been Predicted by the Right Calendar?”
  • “Science as an Instrument of Cultural Propaganda”, paper presented at the All India People’s Science Congress, Shimla, October 2003.
  • “The Tilt in the Arrow of Time”, talk delivered at the Indian Institute of Advanced Study, Shimla, October 2003.
  • “Linux and Localisation”, address to the seminar on Linux Implementation, Bhopal, Nov, 2003. Related news item in Hindustan Times, Bhopal Live, 22 Nov, p. 3.
  • “The Culture of Cyberspace”, talk virtually delivered at the meeting on “The World Social Forum and the New Internationalism: The Culture and Politics of Cyberspace,” CSDS, New Delhi, Nov 2003. Related news report in The Hindu, New Delhi, Nov. 26, p. 3.
  • “Science: Religion::Reason: Faith?” talk delivered at the Conference on Indic Religions, IIC, New Delhi, Dec 2003.
  • “Cultural Foundations of Mathematics” Presentation at PHISPC Editors Conclave, New Delhi 9–10 April 2004.
  • “Time”, invited talk delivered at the Kalidasa Academy, Ujjain, May 2004.
  • “The Calculus: its Indian Origins and Transmission to Europe prior to Newton and Leibniz”, invited talk, conference on Indian Contributions to the Renaissance, Univ. of Louisiana, Lafayette, Oct 2004. Also, Houston, Oct 2004.
  • “The Calculus: its Indian Origins and Transmission to Europe prior to Newton and Leibniz”, invited talk, Dept of Maths, Univ. of Iowa at Ames, and public lecture with the same title, Oct 2004.
  • “Math Wars and the Epistemic Divide in Mathematics”, invited talk at CRMSE, Univ. of San Diego, Oct. 2004.
  • “Math Wars and the Epistemic Divide in Mathematics”, talk presented at Episteme-1, Goa, Dec 2004.
  • “Why Deduction is MORE Fallible than Induction”, invited talk at International Conference on Methodology and Science, Vishwabharati, Shantiniketan, Dec 2004.
  • “Science and Religion: an Indian Perspective”, invited talk at the International Conference, SEASR, New Delhi Jan 2005.
  • “Time” Presidential address at Kalidasa Academy, Ujjain, May 2005.
  • “Time: What is it That it can be Measured?”, invited plenary talk at the International Pendulum Program Conference, Univ. of New South Wales, Sydney 13 Oct 2005.
  • “Time in Classical Indian Tradition and the Present-Day Representation of Time as a Continuum”, invited plenary talk at the International Pendulum Program Conference, Univ. of New South Wales, Sydney, 14 Oct 2005.
  • “The Indian Origins of the Calculus and its Transmission to Europe. Part I: Series Expansions in India from Aryabhata to Yuktidipika.” Talk at University of Auckland, New Zealand, Dept. of Math, 17 Oct 2005.
  • “The Indian Origins of the Calculus and its Transmission to Europe. Part II. Lessons for Mathematics Education.”, Talk at University of Auckland, New Zealand, Dept. of Math, 18 Oct 2005.
  • “The Politics of Time Beliefs”. Talk at Dept. of History and Philosophy of Science, Univ. of Melbourne, 19 Oct 2005.
  • “Why Time Travel is Possible, but Time Machines are Not”. Talk in the series Conceptual and Historical Issues in Modern Physics, Depts of Physics and Philosophy, at Univ. of Sydney, 20 October 2005.  Detailed abstract.
  • “Mathematics, Physics, Computers, and the Globalisation of Culture”. Talk at Asia Research Institute, National University of Singapore, 24 October 2005.
  • “The Religious Roots of Mathematics”, Invited talk at JNU Seminar on Science and Spirituality, IIC, New Delhi, Feb 2006.
  • “इतिहास के विचलन”, Jansatta, 23 Jan 2008.
  • “Two plus two is not always four: Why zero so confused Europeans”, invited talk at International Seminar on Philosophy of Science, Vishwabharati, Shantiniketan, Jan 2008.
  • “Ethics of Scientific Research”, invited talk, NISTADS-TERI workshop, New Delhi, March 2008.
  • “The Harmony Principle”, invited talk, seminar on “Samvad and Swaraj”, Indian Institute of Advanced Study, Shimla, April 2008, to appear in Proc.
  • “Zeroism and Calculus without Limits”, invited talk at the 4th Dialogue on Buddhism and Science, Nav Nalanda Central University, Nalanda, Oct 2008.
  • “Alternatives to Eurocentric education” talk at session on education and culture, conference on BRIC & EU, IIC, Delhi, Nov. 2008.
  • “Why a paradigm shift in teacher education?”, Keynote address at Nat’nl conference on Paradigm Shift in Teacher Education, Inmantec, Dec 2008
  • “Indian Science at the Crossroads”, Invited plenary talk at the 32rd Indian Social Science Congress, Jamia Millia Islamia, N. Delhi, Dec. 2008.
  • “Ethics in Science”, talk at symposium on Ethics of science”, 32nd Indian Social Science Congress, Jamia Millia Islamia N. Delhi, 2008.
  • “Two recent cases of transmission”, invited talk at ICIH, New Delhi, Jan 2009.
  • “Alternatives to Eurocentric education”, plenary talk at ICIH, Jan 2009, New Delhi.
  • “Newton, planetary motion, and Buddhism”, Workshop on Modern Astronomy, Central University of Tibetan Studies, Sarnath, Feb 2009.
  • “Swaraj in Science”, International conference on centenary of Hind Swaraj, IIC, New Delhi, Feb 2009.
  • “What constitutes ethical research? An Indian perspective on bioethics”, Symposium on ethics and genomics. International Conference on Human Genetics, New Delhi, March 2009.

 

Recent articles

Physics

Mathematics

  • Products of Distributions, Renormalization and Shocks
  • “Teaching racist history”, Indian Journal of Secularism 11(4) (2008) 25-28.
  • Good Bye Euclid, (Indian Social Science Congress, Mumbai, Dec 2007) Bhartiya Samajik Chintan VII (4) (New Series) Jan-March 2009, pp. 255-264.
  • The Indian Rope Trick, Bhartiya Samajik Chintan VII (4) (New Series) Jan-March 2009, pp. 265-269.

Computing

  • Quantum computing and artificial creativity.

STS

  • "Kosambi the Mathematician" Economic and Political Weekly  44(20) May 16–22 (2009) pp. 33–45.  
  • "Science and Equity", plenary talk at Indian Social Science Congress, Mumbai, Dec, 2007 (in Proc.) 

 

Recent posts

 

Recent talks