Dark Energy: The energy primordial, transcendent.


Research work of Dr. B.G. Sidharth


                                               B.G. SIDHARTH
                                              Founder Director General
                                               B.M.Birla Science Centre, Adarshnagar,
                                               Hyderabad 500063 (India) (and its constituent institutions)
                                               Advisor and Prof. Theoretical Physics, Santa Rita  Univ.
                                               Forence, Italy. 
QUALIFICATIONS:           B.Sc (Hons.), M.Sc.,Ph.D(1977-78), all from Calcutta University one of India’s best university.

  EXPERIENCE:                  Vast experience in Teaching and Research in Theoretical                        
Physics and Applied Mathematics

He is the Convenor and Co-chairman ( with Nobel Laureates Prof.D.D.Osheroff and Prof.C.Cohen-Tannoudji) of the prestigious Frontier of Fundamental Physics International Symposium series that has been held in Asia, Europe and North America  and Australia

This apart he has played host   to some 26 Nobel Laureates ( and the President of India as also 3 Prime Ministers the of the day) and the likes of Sir Fred Hoyle, Sir Hermann Bondi,Prof..Yuval Ne’eman, Prof.J, Pati and a galaxy of eminent physicists.

He has  coordinated several international projects including three prestigious long term  projects under the European Union – India Economic and Cross Cultural Program. These   project focused on fields like Information Technology, Probabilistic and Optimization Techniques and so on with some twenty International Workshops in India, Italy and Austria.

 Has been instrumental in the establishment and organization of some of the most prestigious Science Awards like the Life Time Achievement of Science Award (recipients include Nobel Laureates Prof. Abdus Salam, Prof. Norman Borlaug, Sir Aaron Klug, Prof. James Watson, Prof. Ilya Prigogine, Prof. Roald Hoffman, Prof. Klaus Von Klitzing, Prof. Gerard ‘t Hooft  Prof. S. Chu, Prof.C.Townes and Sir.H.W.Kroto) and the B.M. Birla Science Prizes which are given to outstanding young Indian researchers in the fields of Physics, Chemistry, Biology and Mathematics, like Prof.Asok Sen, Prof.T.Padmanaban and several others.

 Visiting Professor at  several renowned International Research Institutions, e.g. ICTP, Italy, IHES, France, University of Udine, Italy( Visiting Professor through 2008) ,  University of Laval,Canada, Frankfurt Inst.of Advanced Studies etc. Delivered lectures and took courses at various institutions in Europe, US and Canada, including the International Centre for Mechanical Sciences, Italy, The University of Udine, The University of Napoli, The Abdus Salam Internaational Centre for Theoretical Physics,The University of Western Ontario, Windsor University, The University of Alberta, University of California,
Perimeter Institute, Waterloo, University of Wisconsin, University of Connecticut, University of Marseilles, etc.

 On the Advisory/ Editorial / Governing Boards of various National and International research and scientific institutes, Journals, Award and Expert committees.




Conferred Italy’s Highest honour to non-Italians, Knight-Commander of the Order of the Star of Italian Solidarity, one of the highest honours for Italians.

The Einstein Galilei Laureate  and Gold Medal of Inst.Adv.Maths & Physics and Galileo Telesio of Italy 2013 which he shared with Nobel Laureate Prof.D.D.Osheroff.
Elected Senior Associate of International Centre of Theoretical Physics, Trieste, Italy.

 Elected Fellow of the Royal Astronomical Society , England, 1985.

 Several other Distinctions, Honorary Doctorates, Fellowships etc. e.g. Doctorate (Hon.Causa) Jawharlal Technological University, British Council Scholar etc.etc.

The coveted Distinguished Scientist award of the Andhra Pradesh Akademi of Science

The prestigious Prof.S.Bhagavantam Memorial Lecturer 2011

The SBS award of the International Society for Physical Sciences 2011

And so on.

B.G.Sidharth, Ph.D.,F.R.A.S., Knight Commander Star Italian Solidarity, Doc.Phil(Hon) is the founding Director of the renowned B.M.Birla Science Centre, Hyderabad and its subsidiary centres like the G.P.Birla Observatory & Astronomical Research Centre. Here is how his research work on Particle Physics and Cosmology has been described , a striking feature of which is its strong interface with experiment and observation :He has been nominated for the highest physics award.
In the mid nineties his work on 1D and 2 D behaviour of Fermions and Bosons (e.g., Journal of Statistical Physiscs, 1995, v.3/4. 1998 amd other papers ) predicted the behavior in nano-tubes and graphene(this latter by a decade). The Nobel prize was given for the experimental discovery of grapheme to Profs. Geime and Novosolev. As Nobel Laureate Prof.Claude Cohen-Tannoudji observed, about Sidharth’s work,“ ..it is ofcourse clear that you have done important work on 1D and 2D fermion systems”

In 1997, when the standard big bang model was the accepted theory, with the Universe believed to be slowing down to a halt due to dark matter B.G.Sidharth put forward his dark energy driven accelerating universe cosmology, with a small cosmological constant. Moreover all the supposedly accidental Large Number relations were now deduced from theory, rather than being adhoc ( “The Universe of Fluctuations”, International Journal of Modern Physics A, accepted April 1997). These relations have been an enigma for nearly a century. This contra prediction was confirmed by observation the very next year. Today dark energy is the new paradigm and the 2011 Nobel Prize in Physics went to the Observational Evidence for all this, done in 1998.
Commenting on this, a very reputed publication noted :’… It is of course clear that your equation predicts an exponential (inflation-type) expansion of the current universe, hence acceleration. And it would have been nice if the Nobel committee had mentioned this," Sir Anthony James Leggett, also known as Prof Tony Leggett of the University of Illinois, a Nobel Prize winner in physics in 2003, wrote in his e-mail to Sidharth.Prof Antony Hewish, a British astronomer who had won the Nobel for physics in 1974, also felt that Sidharth's work should have been recognised. "You must feel gratified that your ideas in 1997 were spot on," Hewish wrote.’
“..I would guess that while you did not share the prize this year,  the fact that 
you predicted something that was the key to the others getting the prize should make your chances
quite high for the future.” wrote another Nobel Laureate.

Another Nobel Laureate noted “…I certainly do appreciate that you are one of the very few to have recognized,on theoretical grounds,the possible need to reintroduce a nonzero cosmological constant ahead of the supernova experiments!

In the mid nineties he also put forward a theory for 2 and 1 dimensional Fermions in several papers predicting the behavior in one dimensional  nanotubes and also grapheme
The latter was experimentally observed in grapheme around 2005, a discovery that lead to the Nobel Prize for the experimentalists.

This was but a part of Sidharth’s work using fuzzy noncommutative spacetime. This is a new paradigm which breaks with a century of work that culminated in General Relativity and Quantum Field Theory, both of which are rooted in a differentiable space time. Sidharth’s new ideas, set against the backdrop of oscillators at the Planck scale set in dark energy, bring out hitherto unsuspected and deep properties of what may be called fermionic spacetime, the previous theories being based on bosonic spacetime. This work, which throws up Planck oscillators as a universal algorithm,makes physics less reductionist and more thermodynamic. It is a paradigm shift vis a vis twentieth century physics that brings in a reconciliation between gravitation and Quantum theory,(though not the full General relativity) Pleasingly there is a smooth limit from these ideas to the older theory, when the square of a typical Compton wave length (including the Planck length as a special case) is neglected. At the same time results of all this work are experimentally verifiable and indeed many have since been verified.
Several significant consequences and new avenues have been opened up as a result .. Some of these are :
1. Apart from the cosmic acceleration another footprint of his zero point dark energy model of 1997 is a cosmic background radiowave background in the rough waverlength band of of some tens of centimeters which has been detected in recent years particularly by NASA’s ARCADE Balloon experiment
2. His Pion Model generates a mass spectrum relation for all known elementary particles, based on interquark dynamics. This simple formula gives all masses with an error of about 3 percent to less than one percent. Subsequently detected DS2731 and the possible pentaquark too are included. Many more are predicted.
3. A residual energy in the universe that is 10^(-33) eV is deduced – indeed this too has been confirmed by an analysis of WMAP data. It is otherwise mysterious and inexplicable.
4.A variation of G with time is predicted, which is within experimental limits and via this mechanism all the stand effects of General relativity like the bending of light and the precession of the perihelion of the planet Mercury etc. are explained as also the shortening of the time period of binary pulsars. Further more there is an explanation for the otherwise inexplicable anomalous acceleration of the Pioneer space crafts. New effects too are predicted, e.g. a slight change in orbital parameters of planets.
5. The fuzzy spacetime modifies the usual energy momentum dispersion formula of special relativity, leading to the so called Snyder-Sidharth Hamiltonian and further to the modification of the Dirac equation at ultra high energies with the inclusion of an extra parity violating term. All this work shows how the neutrino gets mass as also leads to the possibility of ultrafast fermions decaying in the manner of weak interactions.
6. The above effects also show that the special relativistic GZK cutoff is violated – preliminary evidence from Ultra High Energy Cosmic Rays is already pointing in this direction.
7. In the resulting extended non Abelian gauge description, not only can gravitation be accommodated, but there is also a mass generation mechanism which gives a geometrical underpinning to  the Higgs mechanism.
8. Indeed the work devalues Gravitation to the level of a residual energy ( a la Sakharov), and thus provides an answer to the question, Why has nearly a century of work on unifying Gravitation with Electromagnetism ( or Quantum Theory and General Relativity) failed?
9. His work predicts a tiny mass for the photon, well withing experimental limits. There is observational evidence for exactly this value of the mass, most recently in the observations of blazars by the Magic telescope team.
10. There is also a characterization of gravitation that resolves the longstanding puzzle of the Weinberg formula : Why microphysical constants should depend on cosmological parameters.
11. His characterization of anti-particles/anti-matter in terms of symmetries of high energy negative energy solutions treats the Compton scale as a Quantum Mechanical counterpart of the Einstein-Rosen bridge and predicts a new interaction at these ultra high energies, mediated by vector bosons, one that is  shortlived .This work also predicts that particles and their anti-particles have slightly different masses. Interestingly, hints for both these predictions has been found, the latest by the CDF team in Fermilab
12. His work on Black Holes deduces that if at all Black Holes exist, they will be only the supermassive ones.
13. Similarly his wor showed that there was no need for the Higgs Boson – there is an alternative  explanation for this. Both these are now being hinted at.
And so on.
Sidharth’s work has been published as over one hundred and fifty papers in peer reviewed international journals, as also in four books, The Chaotic Universe (Nova Science, New York, 2001), The Universe of Fluctuations, ( Springer, Netherlands 2005) ,The Thermodynamic Universe , (World Scientific, Singapore, 2008) and a fourth non-technical book, When the Universe Took a U turn ( World Scientific, Singapore, 2009).
These apart he has co-authored, edited several books published by American Institute of Physics, Kluwer, Springer etc.
 Comments on his work :
“…You are one of the greatest physicists of our modern time and I have a very high regard for your scholarship ..”. Member of the Royal Swedish Academy of Sciences.
“ Dr.Sidharth is one of the greatest living physicists because of his ability to think out of the box” Prof.C.Corda, Chairman Inst of Adv.Math & Theo.Physics, Prato-Florence.
 Prof.A.Kholodenko of U.S wrote, “.. your interpretation of the QCD generated mass spectrum is absolutely astonishing…(your results) are of central importance…”
The work has been described by Prof. L.Nottale ,Director, Research, CNRS ,France as important and constituting breakthroughs. According to a prominent Editor-in-chief of a very prestigious journal, the work will get the highest distinctions available for Theoretical Physics,or is much admired in the words of Prof.John Madore.Another reviewer wrote, “ During the last years Dr.Sidharth has devoted his investigations in very interesting and important aspects of Fundamental Physics and has brought to light intriguing features of the nature of the Universe …” , while Dr.John Hartnett of Australia calls this work” excellent”.Nobel Laureate Prof.I.Prigogine described the work as “Very interesting” and, “ I agree with you that spacetime has a stochastic underpinning.” In the words of the famous physicist, P.T.Landsberg, “ I found your work most engrossing and there is much there which I should like to learn about…to read these chapters was a stimulating experience…” Yet another reviewer described his work as “unique” Dr.O.Doctorow characterizes Sidharth as “ a creative genius and nonconformist” while according to Prof.Walter Greiner while the papers are sometimes on the short side, each one carries a very novel and innovative idea. Robert Paster, in his 2006 book, New Physics and the Mind, devotes an entire Chapter to this work and notes, “ Sidharth’s work…. is of great intellectual breadth and depth..” The editor of the Journal of Cosmology has described him as “ best amongst the best”
And so on.


  1. “Revisiting Zitterbewegung”,  Intl.J.Theor. Phys. 48(2). 2008. pp.497-506
  2. “Graphene and High Energy Physics” IJMPE Volume 23, Issue 05, May 2014
  3. “ An addendum to the paper, Graphene and..”  IJMPE Volume 23, Issue 05, May 2014
  4. “The geometry of electromagnetism” to appear in Int.J.Mod.Phys. E
  5. “The inflationary Universe” to appear in Int.J.Th.Phys.
  6.  “A Model for Neutrinos”Int.J.Th.Phys.,52(12),2013. Pp.4412-4415
  7. A brief note on Coasmic Background Radiation (with SRValluri) in press IJTP
  8. “The Common Origin of the Cosmological …”  Int.J.Th.Phys52(5),2013,pp.1532
  9. “ A brief note on energy from graphene” to appear in Int.J.Mod Phys.E
  10. “ Mass generation without Higgs” (with J.Kounheir) to appear in IJTP
  11. “ High energy Dirac solutions ….”  Int.J.Theo.Phys. Volume 53, Issue 5 (2014), Page 1561-1568
  12. “A brief note on Fractional Quantum Hall Effect” Int.J.Th.Phys (To appear)
  13. “Brief Report on graphene”  (with R.Jain) to appear in New Adv.Phys.8(2) 2014
  14. Brief note on Neutrinos and anti neutrinos, to appear in New Adv Phys 8(2) 2014 (with L.Glinka)
  15. “No Higgs, no Blackholes?” Report in New Adv.Phys.8(2) 2014
Volume 53, Issue 5 (2014), Page 1561-1568

  1. “A Note on Hall Effect and grapheme” PSTJ 2014
  2. “The anomalour behavior of neutrons” to appear in PSTJ

  1. “ A Note on Fluctuations and Inflation”  PSTJ 4(9) 2013
  2.  “Dark Energy and Graphene” New Adv.Phys. 8(1) 2014
  3. “Black Holes and Quantum Mechanics” J.High Energy Phys Vol.2014(2014)
  4. “A Brief Comment onHawking and Black Holes” PSTJ 5(2).Feb.2014
  5. “Non Commutative Geometry, Mass Generation and other effects”,  IJMPE,19(1),2010,79-91.
  6. “Planck Oscillators and Gravitation”  Int.J.Th.Phys . Volume 48, Issue 12 (2009), Page 3421. DOI: 10.1007/s10773-009-0148-1(2009)
  7. “In defence of abiogenesis”, J.Cosm. 1,pp.73-75, 2009
  8. “Quantum Theory : Path to Multiverses” J.Cosm. 4, 2010
  9. “Magnetic Effects of Noncommutativity” Hadronic J.Dec.2013
  10. “ A Brief Report” , New Adv.in Phys.;,7(2), 2013
  11. “Time’s arrow as a signature of fuzzy spacetime”  Curr.Sci. Mar25,2013
  12. “Different Routes to Multiverses” J.Cosm. 4, 2010
  13. “The Modified Dirac Equation”, EJTP, vol 7, (24), July 2010
  14. “High Energy P-P collisions “  Intl.J.Mod.Phys.E.!9(10),2010,pp.1-9
  15. “ The Higgs Boson”  PSTJ.3(9),2012
  16. “Alternative Routes to Gravitation” Frontiers of Fund. Phys., Eds. J.Hartnett and P.Abbott, AIP, New Yourk, 2010
  17. “A Note on a particle-antiparticle interaction”  Int.J.Mod.Phs.E,20(9),2011.2011-2016
  18. “The Pioneer Aonomaly” PSTJ, 3(10), 2012
  19. “Brief report : Matter and Antimatter”   PSTJ.,4(1). Jan.2013, pp.72-75.
  20.  “Ultrahigh energy behaviour”  New Adv.Phys. 5(2). 2011,pp.55-66
  21. ‘The Pion Model”  Int.J.Mod Phys.E Vol: 20 Iss: 6 pp1527 (2011)
  22. “ Planck Oscillators in the background dark energy”, Int.J.Th.Ph. Volume 49(10),  
             2476-2485, DOI: 10.1007/s10773-010-0433-z
  1. “ A brief note on grapheme and high energy physics” PSTJ 2014 (In press)
  2. “Energy and Mass Generation”,  IJMPE, vol.20 (3), 2011, pp1-10
  3. “ Brief Report : Modelling Neutrinos” PSTJ 4(4),2013
  4. “Gravitation at the Planck scale” New Adv.Phys. 7(1), 2013
  5. “The Mystery of Ultra High Energy Cosmic Rays”  PSTJ 3(12) 2012 pp.1251-1253
  6. “ Negative Energy Solutions & Symmetries”  IJMPE,20(10),2011, 2177-2188
  7.  “Dark Energy Models” New Adv.Phys. 7(1), 2013
  8. “ Evidence for the Photon Mass”  Intl.J.Mod.Phys.E 19(7) 2010, pp.1-7.
  9. “Extra Relativistic Effects” Journal of  Cosmology., Spring 2012
  10. “ Non-Newtonian Dynamics and Gravitation”  New Adv.Phys. 6(2) Dec.2012,57  - 69.
  11. “Report : Modeling the Cosmological Const.& Higgs Boson”  New Adv.Phys.Vol.6, no.2, 2012 pp.71-75
  12.  Hawking’s Aliens might be Micro-organisms” Journal of Cosmology, Vol.7, May2010/
  13. “Report on Gravitation as a Planckian effect”  NewAdv.in Phs. 5(2), 2011
  14. “Matters of Gravity : Dark Matter and …”  New Adv.Phys.,5(!).2011
  15. “The Planck Oscillator Model”  New Adv.in Phys.,Vol.3, Sept.2009
  16.  “Varying G dynamics” to appear in J.Cosmology.
  17.  “Inflation and fluctuations” PSTJ 2013
  18. ‘The Limits of Special Relativity”,  Found Phys., 38(8)m 2008,pp.695-706
  19. “Dark Energy and Electrons”,  Int.J.Th.Phys.,48(7).2009. 2122-2128.
  20.  “ ZPF, Zitterbewegung and Inertial mass”  IJMPE. Vol. 18, No. 9 (2009) 1863 -1869
  21.  “Comments on the mass of the photon” Ann.Fond.De Broglie, 33(3),2008
  22. ‘ Origin of Mass, spin and interaction”, EJTP,  6(21),09,pp. 53 ff.
  23.  “A Brief report on …” New Advances in Physics, Vol. 4, No. 2, October 2010, pp. 43-55
  24.  “ Planck Oscillators and Black Hole Thermodynamic Correspondence”  Int ;J.Th..Phys.,48(8),2009,2427-2431
  25. “ The Mass of the Neutrinos”  Intl.J.Mod.Phys E.19(11),2010, pp.1-8
  26. “ Is the Universe Rotating?” Prespacetime Journal.vol.1(8), 2010
  27. “Different routes to Lorentz Symmetry Violations”,  Found. Phys.,38(1), 2008, pp.89ff.
  28. “Dark Matter and Dark Energy “ Ether Spacetime and Cosmology,2009

  1. “Chirality and the Cosmic Origin of Life”  New Adv.In Phys.4(1), March 2010,pp.1-9.
  2. “A Superatom” Apeiron, 19(2), April 2012.
  3. “Quantum Mechanics and Multiply connected  space” New Adv.Phys.,2(1), March 2008, 63-70.
  4. “Feynman Path Integrals and Bohmian Trajectories”  New Adv.Phys.2(1), March 2008, 99-102.
  5.   “ A Brief Note on Dirac’s Membrane …” Electromagnetic Phenomena 6(1)16,06,114
  6. “The Puzzle of Gravitation”  Int.J.Mod.Phys.A, 21(31), Dec.2006, pp.6315.
  7. “Multiply Connected Universes”  New Advances in Physics.1(1), 2007
  8. “The Feynman-Wheeler Perfect Absorber Theory in a new light” to appear in Found.Phys
  9.  “Superluminal Neutrinos?”   PSTJ..3(5)2012
  10. “ The Lorentz-Dirac and Dirac Equations”  Electromagnetic Phenomena,V.8, 1(19),2008,21-25.
  11. “From Planck Scale to the Compton scale ….” Int.J.Mod.Phys.E
  12. “Cosmic Background Neutrinos and the Cosmological…”  Found.Phys.L 19(7),06,757ff.
  13. “ Non Reductionist Models …..” To appear in MMSSST
  14. “Tests for Varying G”,  Foundations of Phys.Letts. 19(6), 2006, 611-617
  15.  “A Brief Note on a new cosmic ‘coincidence’ ……”  Found.Phys.Lett. 19(06), 499
  16. Hall Effect and grapheme PSTJ 5(5),2014
  17. “ The Problem of Gravitation”. Hadronic Journal 28, 5, October’05, pp.599 ff.
  18. “Looking beyond special relativity” Electromagnetic Phenomena, V6, 1(16),’06, 63-69.
  19. “ Ultra High Energy Fermions” New Adv.Phys. 6(1), 2012 (in press).
  20. “A Note on Massive Photons”  Found.Phys.Lett., 19(4), 2006
  21. “ Blackhole Thermodynamics and Electromagnetism” Found.Phys.Lett.19(1),06,pp.87ff.
  22. “Self similar superuniverses”  Chaos,Solitons & Fractals, 30, 2006.pp.463-469
  23. “A Test for Non Commutative Spacetime”, Int.J.Mod.Phys.E.,14(8),2005,1247ff.
  24. “The Characterization of the Planck Scale”   Int.J.Mod.Phys.E,15(1),’06,255ff.
  25. “ The Ultra High Energy Dirac Equation”, Int.J.Mod.Phys.E, 14(6),2005,927ff.
  26. “ Neutrinos and Weak Interactions”  Found.Phys.Lett.,18(4),2005,393ff.
  27.  “ A note on noncommutativity and mass generation”Int.J.Mod.Phys.E.14(6),2005,923ff.
  28.  “MeV dark matter”  Int.J.Mod.Phys.E, 14(4), 2005, pp.1 – 3.
  29.  “Planck oscillators and strings”,  Chaos,Solitons&Fractals,30, 2006,pp.300 ff.
  30.  “The Puzzle of Large Scale Structures and Gravitation”, Chaos,Solitons&Fractals,30,2006, 312-317.
  31. “ A Note on the Characterization of Gravitation”, Found.Phys.Lett.,18(4),2005
  32. “The Mysterious Dark Energy” “Einstein and Poincare”, Eds.V.Dvaeglazov (Apeiron  Press), 2007
  33.  “ Considerations Classical and Quantum”,  Prespacetime Journal.. 3(2), Feb.2012,99-106
  34. “The Universe at two scales”, Chaos, Solitons and Fractals, 24(2),2005,pp.443-445
  35. “The Mystery of the Kerr Neuman Metric”, Chaos, Solitons and Fractals,22,2004,537-540
  36. “Gravitation from a Gauge like Formulation”  Ann.Fond.L.De Broglie.30(2),05,151-156
  37. “Discrete Spacetime and Lorentz Symmetry”,Int.J.Th.Phys.,43(9),2004,1857-1861.
  38. “Non-Commutative Geometry and Symmetry Breaking in Gauge Theory”, Int.J.Mod.Phys.E,14(2),2005,215ff
  39. “ The Planck Scale in the Universe”, Found.Phys.Letts,17(5),2004,503-506.
  40.  “A New Integral Transform” to appear in Italian Journal of Pure & App.Maths.
  41. “ Geometry and Quantum Mechanics”,  Annales Fondation L. De Broglie,29(3),2004,1
  42. “ A Formula for the mass spectrum of elementary particles”, Hadronic Journal, 27(6),2004, pp.705ff.
  43. “A Short Range Force”,  Intl.J.Th.Physics, 44(5),2005,pp.615ff.
  44. “Ramifications of Fuzzy Spacetime”, in Spacetime Physics and Fractality, Eds. P.Weibel, G.Ord,O.E.Rossler, Springer, Wien, 2005, pp.135ff..
  45. An Interface between Classical Electrodynamics and Quantum Mechanics” . “Has the last word been said on Classical Electrodynamics”,Eds.A.Chubykalo et. al.,Rinton Press(U S A),2003.
  46. “Scaled Quantum Effects”  Chaos, Solitons and  Fractals, 20(4),2004,pp.701-703
  47. “The Elusive Monopole” Nuovo Cimento B.,118B(1),2003,pp.35 – 40
  48.  “The New Cosmos”, Chaos,Solitons and Fractals,18(1),2003,pp197-201.
  49.  “Complexified Spacetime”, Found.of Phys. Lett., 16(1), 2003, pp.91-97.
  50. “Modified Uncertainty Principle”, Chaos, Solitons and Fractals,15,2003, 593-595
  51. “Quantum Mechanics From Cosmic Fluctuations”, Chaos, Solitons and Fractals, 15(1),2003,pp.25 to 28
  52. “Cosmology of Fluctuations”, Chaos, Solitons and Fractals,16(4) 2003,pp.613-620
  53. “Extension, Spin and Non Commutativity”, Foundation of Physics Letters, 15(5),2002,501ff.
  54. “Fuzzy Space, Non Commutative Geometry and Fermionic Spacetime”  Nuovo Cimento 117B (6),2002,pp703ff.
  55. “Planck Scale Phenomena”, Foundation of Physics Letters, 15(6),2002,pp577-583.
  56. “The Nature of Quantum Space Time………”, Chaos, Solitons and Fractals,13,2002,pp.1325-1330
  57. “Fluctuations in the Quantum Vacuum”, Chaos, Solitons and Fractals, 14, 2002, p.167-169.
  58. “Non Commutativity, Fluctuation and Unification”, Chaos, Solitons and Fractals, 13, 2002, 1763-66.
  59. “A Reconciliation of Electromagnetism and Gravitation”, Annales de la Fondation Louis de Broglie, 27(2), 2002, pp.333ff.
  60. “Consequences of a Quantized Spacetime Model”, Chaos, Solitons and Fractals, 13(4), 2002, p.617-620.
  61. “Spin and Non Commutative Geometry”, Chaos, Solitons and Fractals, 13, 2002, 1191ff.
  62. “A Note on Duality and Scale”, Chaos, Solitons and Fractals, 13, 2002, 1369-1370.
  63. “Dimension and Metric”, Chaos, Solitons and Fractals, 14(3), 2002, p.525.
  64. “Dimensionality and Fractals”, Chaos, Solitons and Fractals, 14 (6), 2002, p.831-838.
  65. “Quantized Fractal Spacetime and Quantum Superstrings”, Chaos, Solitons and Fractals, 13(2), 2002, p.189-193.
  66. “Spacetime” in Concise Encylopaedia of Supersymmetry and Noncommutative Structures”, Eds. J. Bagger, S. Dupliz and W. Siegel, Kluwer, Dordrecht, 2001.
  67. “The Emergence of the Planck Scale”, Chaos, Solitons and Fractals, 12, 2001, p.795-799.
  68. “The Scaled Universe”, Chaos, Solitons and Fractals, 12, 2001, 613-616.
  69. “Gravitation and Electromagnetism”, Nuovo Cimento, 116B (6), 2001, p.4ff.
  70. Comments on the paper “On the Unification of the Fundamental Forces…”, Chaos, Solitons and Fractals, 12, 2001, 989-991.
  71. “From the Neutrino to the Edge of the Universe”, Chaos, Solitons and Fractals, 12, 2001, 1101-1104.
  72. “The Scaled Universe II”, Chaos, Solitons and Fractals, 12, 2001, 1371-1373.
  73. “Scale Dependent Dimensionality”, Chaos, Solitons and Fractals, 12, 2001, 1369-1370
  74. “Issues in Quantized Fractal Space Time”, Chaos, Solitons and Fractals, 12, 2001, 1449-1457.
  75. “A Brief Note on Analyticity and Causality, and the ‘Levels of Physics’”, Chaos, Solitons and Fractals, 12, 2001, 2117-2118.
  76. “Interstellar Hydrogen and Cosmic Background Radiation”, Chaos, Solitons and Fractals, 12, 2001, 1563-1564.
  77. “An Underpinning for Space Time”, to appear in Chaos, Solitons and Fractals.
  78. “The Substructure of Space Time and Some Related Issues”, Chaos, Solitons and Fractals, 12, 2001, 2357-2361.
  79. “The Unification of Electromagnetism and Gravitation in the Context of Quantized Fractal Space Time”, Chaos, Solitons and Fractals, 12, 2001, 2143-2147.
  80. “A Note on 3+1 Dimensionality”, Chaos, Solitons and Fractals, 12, 2001, 1175-1176.
  81. “Black Holes from Different Perspectives”, Chaos, Solitons and Fractals, 12, 2001, 2369-2373.
  82. “Fractal Statistics”, Chaos, Solitons and Fractals, 12, 2001, 2475-2480.
  83. “Space Time as Random Heap”, Chaos, Solitons and Fractals, 12(1), 2000, 173-178.
  84. “Quantized Spacetime and Time’s Arrow”, Chaos, Solitons and Fractals, 11(7), 2000, 1045-46.
  85. “Effects of Varying G”, Nuovo Cimento, 115B (12) (2), 2000, pp.151ff.
  86. “A Brief Note on Fluctuations and Interactions”, Chaos, Solitons and Fractals, 11(13), 2000, 2155-2156.
  87. Comment on the Paper “A Physical Interpretation of the Planck Length”, European Journal of Physics, 21, 2000, L1.
  88. “The Consequences of a Model for Fermions”, Non Linear Analysis: Real World Applications 1, 2000, 449-455.
  89. “The Universe of Chaos and Quanta”, Chaos, Solitons and Fractals, 11(8), 2000, 1269-1278.
  90. “Stochastic Conservation Laws?”, Chaos, Solitons and Fractals, 11(7), 2000, 1037-39.
  91. “A Brief Note on Cosmic Microwave Background Radiation”, Chaos, Solitons and Fractals, 11, 2000, 1471-72.
  92. “The Chaotic Universe”, Chaos, Solitons and Fractals, 11(8), 2000, 1171-1174.
  93. “ A Note on Quarks or Leptons”, Mod.Phys.Lett.A., Vol.14, No.5, 1999, p.387 389.
  94. “Anomalous Fermions”, Journal of Statistical Physics, 95(3/4), May 1999.
  95. “Comment on Dirac’s Coincidences Sixty Years On”, Astronomy and Geophysics (Journal of Royal Astronomical Society), April 1999.
  96. “Instantaneous Action at a Distance in Holistic Universe”, IAAD Pro & Contra, Eds. A. Chubykalo et al., Nova Science Publishers, New York, 1999.
  97. “Towards the Unification of Electromagnetism and Gravitation Via Quantum Mechanical Black Holes”, Gravitation & Cosmology”, Vol.4, 1998, No.2 (14), pp.158-162.
  98. “The Universe of Fluctuations”, International Journal of Modern Physics A, Vol.13, No.15, 1998, pp.2599-2612.
  99. “Large Numbers and the TimeVariation of Physical Constants”, International Journal of Theoretical Physics, Vol.37, No.4, 1998, pp.1307-1312.
  100. “p-Adic Physics Below and Above Planck Scales” (with Dr. M.V. Altaisky), Chaos, Solitons and Fractals, Vol.10, No.1, 1998, pp.1-10.
  101. “Quarks or Leptons?”, Modern Physics Letters A, Vol.12, No.32, 1997, pp.2469-2471.
  102. “Quantum Mechanical Black Holes: Towards a Unification of Quantum Mechanics and General Relativity”, Indian Journal of Pure & Applied Physics, Vol.35, 1997, pp.456-471.
  103. “Quantum Nonlinearities in the Context of Black Holes”, Nonlinear World, 4, 1997, p.157-161.
  104. “Is the Universe Asymptotically Two-Dimensional?”, Nonlinear World, 4, 1997.
  105. “Thermodynamic Inflation”, Bull.Astr.Soc.India, 25,1997, p.485-488.
  106. “Geomagnetism Revisited”, Journal of Indian Geological Union, 3(2), 1997, 23-27.
  107. “The inverse Scattering Problem for …” JPAP 23(1),2011, pp.1--4
  108. “The Large l behaviour of the phase-shifts”, Ind.J.Pure and App.Phys., 35, December 1997, pp.767-770 (with R.E.P. Koundinya).
  109. “The Origin of Gravitation in Quantum Mechanics with Self-Interaction and a Self-Gravitating Wave Packet” (with Dr. A.D. Popova), Differential Equations and Dynamical Systems, Vol.4, No.3/4, 1996, pp.431-440.
  110.  “Quantization of Fractal Systems: One-Particle Excitation States” (with M.V. Altaisky), Int.J.Th.Phys., Vol.34, No.12, 1995, 2343-2351.
  111.  “Auto Catalysis in Non-Linear Systems and the Problem of Inertia” (with A.D. Popova), Nonlinear World 1, 1994, 403-408.
  112. “The Scale Transformation Symmetry”—Differential Equations and Dynamical Systems, 1,1,January 1993.
  113. “A Formula for Estimating Phase-Shifts and Resonant Energies”, -- Indian Journal for Pure and Applied Mathematics, 24(b),June 1993.
  114. “Phase Shifts in the collisions of massive particles”—J.Math.Phys (U.S.A.) 30(3),1989 673,  IC/85/55 (ICTP)
  115. “Bound States and resonances for the delta function potential”—Acta Phys.Polonica. A 76(3), 1989,417.
  116. “A note on the minumum potential strength”—Indian Journal of Pure and Applied Mathematics 19(9),1988, 896  (with M.Maqbool)
  117. “The minumum potential strength for the existence of bound states”-- J.Math.Phys (U.S.A.), 25,1984, 965,
  118. “A recurrence relation for the phase-shifts of exponential and Yukawa Potentials”-- J.Math.Phys (U.S.A.), 24,1983, 878,
  119. “A lower bound and estimates for resonances”—Nuovo Cimento A 90(i),1985, 82  (Also IC/83/170 (Trieste))
  120. “Bound State wave-functions for singular and transitional potentials”—Lett. Nuovo Cimento 31 (18),1981, 648
  121. “On the phase-shifts of certain classes of potentials”-- Nuovo Cimento 46A,1978, 419.
  122. “The minumum potential strength for higher angular momenta”-- Acta Phys.Polonica. A65 (1984)
  123. “Solutions for Schrodinger’s Equation for the Morse and other potentials by non-linear techniques.”—Ind.Journal of Chemical Sciences 1 , 1987,31, (with M.Maqbool)
  124. “Bounds for phase-shifts of modified coloumb potentials”(with A.Abdel-Hafez)—Acta Phys.Polonica A57 (3) 1980, 287
  125. “On the bound states of higher angular momenta” (with A.Abdel-Hafez)-- Acta Phys.Polonica A56 (5), 1979, 577
  126. “A necessary and sufficient condition for the existence of a bound  state continuum”-- Acta Phys.Polonica 89 (4) , 1978, 359
  127. “On the spectra of n-electron atoms for certain potentials II”—Bull.Cal.Math.Soc.73, 1981,1
  128. “Bounds for phase-shifts and deductions in potential scattering.-- Bull.Cal.Math.Soc.71 (6), 1980,370
  129. “On the spectra of n-electron atoms for certain potentials”-- Bull.Cal.Math.Soc.67 (3),    1975,137
  130. “ A Model for Long Term Climate Change” J.of Ind.Geoph.Union, 7(4), October 2003.
  131. ”Some Exactly Solvable Models of the Ricatti Equation”, in Proc.AP Akad.Sc,October 2004.
  132. “The inverse Scattering Problem …” to appear in JPap
  133.  “The velocity of light’ to appear in journal of pure &applied physics.
  134. “ A different universe” (review)  in Found.Phys.2007.
  135. “Life from Outer space”, Journal of Cosmology (in press)
  136.  “The Fuzzy Spacetime Universe”, Int.J.SCI, January, 2006,pp.42ff
  1.  “Theory of Everything or Theory of Nothing” to appear in J.Pure & App.Phys.
  2. Volume 23, Issue 05, May 2014 Volume 23, Issue 05, May 2014 “ Origin of Life on Earth” Proc.A.P.Akademi of Sciences, 6(2), 2002



1.      Quantum Mechanical Black Holes: An Alternative Perspective, “Frontiers in Quantum Physics”, Eds., S.C. Lim, et. Al., Sprinter, Singapore, 1998, pp308ff.
2.      Low Dimensional Electrons, Solid State Physics, Eds., R. Mukhopadhyay et al., 41, Universities Press, Hyderabad, 1999, p.331.
3.      A Mass Spectrum Based on the QMBH Model (with Yu. Yu Lobanov), Proceedings of “Frontiers of Fundamental Physics”, Universities Press, 1998, pp68ff.
4.      Neutrino Mass and an Ever Expanding Universe (An Irreverent Perspective), Proceedings of “Frontiers of Fundamental Physics”, Universities Press, 2000, pp58ff.
5.      Behaviour at Ultrahigh Energies, Proc. FFP12, Italy, 2012, Springer.
6.      The Dark Energy Universe, Proc. FFP12, Italy, Springer.
7.      Fluctuational Cosmology, Proceedings of 8th Marcell Grossman Meet, Ed. T. Piran, World Scientific, Singapore, 1999, p.497.
8.      Quantum Mechanical Black Holes: An Alternative Perspective, Proceedings of 8th Marcell Grossman Meet, Ed. T. Piran, World Scientific, 1999, p.476.
9.      Is the Universe Asymptotically Two Dimensional? (with A.D. Popova), General Relativity & Gravitation 15, IUCAA, Pune, 1998.
10.  Quantum Mechanical Black Holes: Issues and Ramifications, Proceedings of Frontiers of Fundamental Physics, International Symposium, Universities Press, Hyderabad, 2000, pp.138ff.
11.  The Fractal Universe, Eds. V. Srinivasan et al., Proceedings of Conference on Nonlinear Dynamical Systems, University of Hyderabad, Hyderabad, 2000, pp.191ff.
12.  On the phase shifts of Yukawa type and other potentials (with R.E.P. Koundinya), Proceedings of DAE Symposium on Nuclear Physics, Organised by Department of Atomic Energy, Government of India, Vol.41B, 1998.
13.  Fuzzy, Non Commutative Spacetime: A New Paradigm for a New Century, Proceedings of Fourth International Symposium on Frontiers of Fundamental Physics, Hyderabad, Kluwer Academic, 2001.
14.  Why Fuzzy Spaces and Non Commutative Geometry, Proceedings of High Energy Physics Symposium, Department of Atomic Energy (India), December 2000.
15.   On the bound states of spin half particles, Nuclear Phys.& Solid State Phys.(India), 168, p.107, 1973.
16.  On the minimum potential strength for the existence of bound states, Nuclear Phys.& Solid State Phys.(India),228,p.157, 1979
17.  The Fractal Universe, ICSCI 2004 Proceedings (Invited Talks).
18.  Phase shifts from Schwinger’s formulation in the partial wave analysis, Proc. of the 30th ISTAM Congress (India),1985.
19.  Non linear techniques in Quantum Scattering, Proc. of  the 31st ISTAM Congress (India), 1986.
20.  The Fuzzy Spacetime Universe, in ICSCI 2005  Proceedings (Invited Talk).
21.  “Glimpses of a New Physics”, Proceeding of 11th Regional conference,World Scientific,2004
22.   How Fundamental is Gravitation? Proc. FFP6,Italy, Springer ,NL,2006
23.   The New Cosmos in Proc.Nat.Conf Astron.Planet.Sc, Chennai,2006
24.   The common origin of inertial mass, spin, interaction ….” Proc.8th Intl.Symp.on Front.Fund.Phys. American Inst.Phys., 2007
25.  The Thermodynamic Universe, Proc. Front.Fund.Phys. AIP. 2008 (in Press)
26.  From the Dark Matter Universe to the Dark Energy Universe, Cargese Cosmology Workshop, Carges (France), May 2008, www.cpt.univ-mmrs.fr~cosmo/sw_2008/PPT/sidharth.pdf
27.   The Emergence of Spacetime, The J.Phys(Conf.Proc.) DICE 2008, Castiglioncello, Italy.
28.  “ Alternative Routes to Gravitation” , Front Fund Phys.10, Perth, Australia, 2009, AIP (2010) in press.
29.   “Oscillations in Dark Energy”, National Conference on Waves and Applicable Mathematics, Kakatiya University, February, 2010, in Proceedings.
30.“ Varying G and the Pioneer anomaly “, Int. Cong. Maths., Hyderabad, 2010
31“Ultra Relativistic Maxwell and ….” Int.Cong.Math.,Hyd., 2010
32.  Planck Oscillators and Dark Energy” Proc.of the 11th Intl.Symposium, Frontiers of Fundamental Physics, Univ of Paris, Diederot, AIP, N.Y., 2012.
33.“ Dark matter, gravity waves …” Proc. Of International Symposium on Frontiers of Nuclear Physics, Frankfurt Inst.Adv.Studies, World Scientific, Singapore,2011
34Can we live without Dark Matter ..” The S.Bhagavantam Memorial Lecture, Andhra Pradesh Akad. Science  3rd January, 2011.
35“ The Dark Energy Paradigm”, Proc. Of  FFP11, Paris, 2010, AIP, N.Y. 2012
36 “Ultra High Energy Particles” Proc; FFP12, Udine, Springer 2014
      37”Dark Energy and Graphene” New Adv Phys. 8(1)2014. Proc.of FFP13,  
           Hyderabad, 2013


  1. “The Chaotic Universe: From the Planck to the Hubble Scale”, Nova Science, New York, 2001.
  2. “Frontiers of Fundamental Physics” (Co-Editor: M.V. Altaisky), Kluwer Academic, New York, 2001.
  3. “Frontiers of Fundamental Physics” Volume 2, Universities Press, Hyderabad, India, 2001.
  4. “Frontiers of Fundamental Physics” (Co-Editor: A. Burinskii), Universities Press, Hyderabad, India, 1999.
  5. “The Celestial Key to the Vedas”, Inner Traditions, New York, 2000.
  6. “Treasures of Ancient Indian Astronomy” (Co-Editor: K.D. Abhyankar), Ajanta Book Publishers, New Delhi, 1991.
  7. “The New Cosmology”, Chaos, Solitons and Fractals Special Issue, Eds., J.V. Narlikar, B.G. Sidharth and M.S. El Naschie, 2003..
  8. “The Best of Indian Physics”, Nova Science, New York ,2005.
  9.  “Frontiers of Fundamental Physics”,Universities Press, Hyderabad,2004.
  10. “ The Universe of Fluctuations : The Architecture of Spacetime “, Springer, 2005
      11.  “A Century of  Ideas ”, Springer , NL,2008
      12. “Frontiers of Fundamental Physics”, Springer ,NL, 2006
13.“From Superstition to Supervision”, Sivakameswari, Hyderabad,2006 
      14. “Frontiers of Fundamental Physics 8”, American Inst. Physics
      15. “The Thermodynamic Universe”, World Scientific, 2008.
      16.  “Frontiers of Fundamental Physics 9”, American Inst.of Physics.
      17.  “ When the Universe took a U turn”, World Scientific, Singapore, 2009.

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