Abstract
Variable particle masses have sometimes been invoked to explain observed anomalies in low energy nuclear reactions (LENR). Such behavior has never been observed directly, and is not considered possible in theoretical nuclear physics. Nevertheless, there are covariant off-mass-shell theories of relativistic particle dynamics, based on works by Fock, Stueckelberg, Feynman, Greenberger, Horwitz, and others. We review some of these and we also consider virtual particles that arise in conventional Feynman diagrams in relativistic field theories. Effective Lagrangian models incorporating variable mass particle theories might be useful in describing anomalous nuclear reactions by combining mass shifts together with resonant tunneling and other effects. A detailed model for resonant fusion in a deuterium molecule with off-shell deuterons and electrons is presented as an example. Experimental means of observing such off-shell behavior directly, if it exists, is proposed and described. Brief explanations for elemental transmutation and formation of micro-craters are also given, and an alternative mechanism for the mass shift in the Widom–Larsen theory is presented. If variable mass theories were to find experimental support from LENR, then they would undoubtedly have important implications for the foundations of quantum mechanics, and practical applications may arise.
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References
Storms, E.: Science of Low Energy Nuclear Reaction: A Comprehensive Compilation of Evidence and Explanations about Cold Fusion. World Scientific Publishing Company (2007)
Srinivasan, M., Miley, G., Storms, E.: Low-energy nuclear reactions: transmutations. In: Krivit, S.B., Lehr, J.H., Kingery, T.B. (eds.) Nuclear Energy Encyclopedia, pp. 503–539. Wiley (2011). URL http://onlinelibrary.wiley.com/doi/10.1002/9781118043493.ch43/summary
Fock, V.: Die Eigenzeit in der klassischen und in der Quantenmechanik. Phys. Z. Sowjetunion 12, 404 (1937)
Stueckelberg, E.: La signification du temps propre en mécanique ondulatoire. Helv. Phys. Acta 14, 322 (1941)
Stueckelberg, E.: Remarque à propos de la création de paires de particules en théorie de la relativité. Helv. Phys. Acta 14, 588 (1941)
Lacki, J., Ruegg, H., Wanders, G.: E.C.G. Stueckelberg, An Unconventional Figure of Twentieth Century Physics: Selected Scientific Papers with Commentaries. Springer (2008)
Feynman, R.P.: Mathematical formulation of the quantum theory of electromagnetic interaction. Phys. Rev. 80(3), 440 (1950). doi:10.1103/PhysRev.80.440
Horwitz, L.P., Piron, C.: Relativistic dynamics. Helv. Phys. Acta 46(3), 316 (1973). URL http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=4355335
Reuse, F.: On classical and quantum relativistic dynamics. Found. Phys. 9(11–12), 865 (1979). doi:10.1007/BF00708697
Fanchi, J.R.: Parametrized Relativistic Quantum Theory. Springer GmbH (1993).
Horwitz, L.P., Lavie, Y.: Scattering theory in relativistic quantum mechanics. Phys. Rev. D 26(4), 819 (1982). doi:10.1103/PhysRevD.26.819
Horwitz, L., Shnerb, N.: Second quantization of the stueckelberg relativistic quantum theory and associated gauge fields. Found. Phys. 28(10), 1509 (1998). doi:10.1023/A:1018841000237. URL http://www.springerlink.com/content/rw725423p4l33516/abstract/
Land, M.C., Horwitz, L.P.: The Lorentz force and energy-momentum for off-shell electromagnetism. Found. Phys. Lett. 4(1), 61 (1991). doi:10.1007/BF00666417
Land, M.C.: Pre-maxwell electrodynamics. Found. Phys. 28(9), 1479 (1998). doi:10.1023/A:1018813429428
Seidewitz, E.: Spacetime path formalism for massive particles of any spin. Ann. Phys. 324(2), 309 (2009). doi:10.1016/j.aop.2008.10.007. URL http://www.sciencedirect.com/science/article/pii/S0003491608001668
Aharonovich, I., Horwitz, L.P.: Radiation-reaction in classical off-shell electrodynamics. I. The above mass-shell case. J. Math. Phys. 53(3), 032902 (2012). doi:10.1063/1.3694276. URL http://jmp.aip.org/resource/1/jmapaq/v53/i3/p032902_s1?bypassSSO=1
Burakovsky, L., Horwitz, L.: Equilibrium relativistic mass distribution. Phys. A 201(4), 666 (1993). doi:10.1016/0378-4371(93)90135-Q. URL http://www.sciencedirect.com/science/article/pii/037843719390135Q
Burakovsky, L., Horwitz, L.P.: Galilean limit of equilibrium relativistic mass distribution. J. Phys. A 27(8), 2623 (1994). doi:10.1088/0305-4470/27/8/003. URL http://iopscience.iop.org/0305-4470/27/8/003
Burakovsky, L., Horwitz, L.P.: Mass-Proper Time Uncertainty Relation in a Manifestly Covariant Relativistic Statistical Mechanics. ArXiv High Energy Physics-Theory e-prints, p. 4106 (1996). URL http://adsabs.harvard.edu/abs/1996hepth4106B
Greenberger, D.M.: Theory of particles with variable Mass. I. Formalism. J. Math. Phys. 11(8), 2329 (1970). doi:10.1063/1.1665400. http://jmp.aip.org/resource/1/jmapaq/v11/i8/p2329_s1?isAuthorized=no
Greenberger, D.M.: Theory of particles with variable mass. II. Some physical consequences. J. Math. Phys. 11(8), 2341 (1970). doi:10.1063/1.1665401. URL http://jmp.aip.org/resource/1/jmapaq/v11/i8/p2341_s1?isAuthorized=no
Greenberger, D.M.: Some useful properties of a theory of variable mass particles. J. Math. Phys. 15(4), 395 (1974). doi:10.1063/1.1666658. URL http://link.aip.org/link/?JMP/15/395/1&Agg=doi
Greenberger, D.M.: Wavepackets for particles of indefinite mass. J. Math. Phys. 15(4), 406 (1974). doi:10.1063/1.1666659. URL http://link.aip.org/link/?JMP/15/406/1&Agg=doi
Corben, H.C.: Relativistic quantum theory of particles with variable mass I. Proc. Natl. Acad. Sci. USA 48(9), 1559 (1962)
Corben, H.C.: Relativistic quantum theory of particles with variable mass, II. Proc. Natl. Acad. Sci. USA. 48(10), 1746 (1962). URL http://www.ncbi.nlm.nih.gov/pmc/articles/PMC221034/. PMID: 16591007 PMCID: PMC221034
Fanchi, J.R.: Review of invariant time formulations of relativistic quantum theories. Found. Phys. 23(3), 487 (1993). doi:10.1007/BF01883726
Adler, S.L.: Quantum theory as an emergent phenomenon: the statistical mechanics of matrix models as the precursor of quantum field theory. Quantum Theory as an Emergent Phenomenon: The Statistical Mechanics of Matrix Models as the Precursor of Quantum Field Theory. Cambridge University Press (2004)
’t Hooft, G.: The Free-Will Postulate in Quantum Mechanics. arxiv.org 0707.4568 (2007). doi:10.1063/1.2823751. URL http://arxiv.org/abs/0707.4568. AIPConf.Proc. 957:154-163
’t Hooft, G.: Determinism beneath quantum mechanics. Quo Vadis quantum mechanics? In: Elitzur, A.C., Dolev, S., Kolenda, N. (eds.) The Frontiers Collection, pp. 99–111. Springer, Berlin (2005). URL http://www.springerlink.com/content/t545r734304254q3/
’t Hooft, G.: Entangled quantum states in a local deterministic theory. arxiv.org 0908.3408 (2009). URL http://arxiv.org/abs/0908.3408
Weinberg, S.: Collapse of the State Vector. arXiv.org 1109.6462 (2011). URL http://arxiv.org/abs/1109.6462
Koonin, S.E., Nauenberg, M.: Calculated fusion rates in isotopic hydrogen molecules. Nature 339(6227), 690 (1989). doi:10.1038/339690a0. URL http://www.nature.com/nature/journal/v339/n6227/abs/339690a0.html
Fleischmann, M., Pons, S., Hawkins, M.: Electrochemically induced nuclear fusion of deuterium. J. Electroanal. Chem. 261(2), 301–308 (1989). URL http://www.ftp.nic.funet.fi/pub/doc/Fusion/fp.ps
Leggett, A.J., Baym, G.: Exact upper bound on barrier penetration probabilities in many-body systems: Application to “cold fusion”. Phys. Rev. Lett. 63(2), 191 (1989). doi:10.1103/PhysRevLett.63.191
Leggett, A.J., Baym, G.: Can solid-state effects enhance the cold-fusion rate?. Nature 340(6228), 45 (1989). doi:10.1038/340045a0. URL http://www.nature.com/nature/journal/v340/n6228/abs/340045a0.html
Czerski, K., Huke, A., Biller, A., Heide, P., Hoeft, M., Ruprecht, G.: Enhancement of the electron screening effect for d + d fusion reactions in metallic environments. Europhys. Lett. (EPL) 54(4), 449 (2001). doi:10.1209/epl/i2001-00265-7. URL http://iopscience.iop.org/epl/i2001-00265-7
Czerski, K., Huke, A., Heide, P., Ruprecht, G.: The \({}^{2}\)H(d, p)\({}^{3}\)H reaction in metallic media at very low energies. Europhys. Lett. 68, 363 (2004). doi:10.1209/epl/i2004-10209-3. URL http://adsabs.harvard.edu/abs/2004EL68.363C
Czerski, K., Huke, A., Heide, P., Ruprecht, G.: Experimental and theoretical screening energies for the \({}^{2}\)H(d, p)\({}^{3}\)H reaction in metallic environments. In: The 2nd International Conference on Nuclear Physics in Astrophysics, ed. by Z. Fülöp, G. Gyürky, E. Somorjai (Springer, Berlin Heidelberg, 2006), pp. 83–88. URL http://www.springerlink.com/content/k740562323673840/abstract/
Czerski, K., Huke, A., Martin, L., Targosz, N., Blauth, D., Górska, A., Heide, P., Winter, H.: Measurements of enhanced electron screening in d+d reactions under UHV conditions. Journal of Physics G: Nucl. Part. Phys. 35(1), 014012 (2008). doi:10.1088/0954-3899/35/1/014012. URL http://iopscience.iop.org/0954-3899/35/1/014012
Czerski, K.: Enhanced electron screening and nuclear mechanism of cold fusion. in ICCF-15, vol. 15, pp. 197–202. ENEA, Rome, Italy (2009). URL http://www.enea.it/it/produzione-scientifica/edizioni-enea/2012/proceedings-iccf-15-international-conference-on-condensed-matter-nuclear-science
Tsyganov, E.N.: Cold nuclear fusion. Phys. At. Nucl. 75(2), 153 (2012). doi:10.1134/S1063778812010140
Atzeni, S., Meyer-ter Vehn, J.: The Physics of Inertial Fusion:BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter. J. Meyer-ter Vehn, The Physics of Inertial Fusion:BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter. Oxford University Press (2004).
Nagel, D.J.: Scientific overview of ICCF15. Infinite Energy 88, 21 (2009). URL http://www.infinite-energy.com/images/pdfs/nageliccf15.pdf
Widom, A., Larsen, L.: Ultra low momentum neutron catalyzed nuclear reactions on metallic hydride surfaces. Eur. Phys. J. C 46(1), 107 (2006). doi:10.1140/epjc/s2006-02479-8
Konopinski, E.J.: What the electromagnetic vector potential describes. Am. J. Phys. 46(5), 499 (1978). doi:10.1119/1.11298. URL http://link.aip.org/link/?AJP/46/499/1&Agg=doi
Calkin, M.G.: Linear momentum of quasistatic electromagnetic fields. Am. J. Phys. 34(10), 921 (1966). doi:10.1119/1.1972282. URL http://link.aip.org/link/?AJP/34/921/1&Agg=doi
Aguirregabiria, J.M., Hernández, A., Rivas, M.: Linear momentum density in quasistatic electromagnetic systems. Eur. J. Phys. 25(4), 555 (2004). doi:10.1088/0143-0807/25/4/010
Szalewicz, K., Morgan, J.D., Monkhorst, H.J.: Fusion rates for hydrogen isotopic molecules of relevance for “cold fusion”. Phys. Rev A 40(5), 2824 (1989). doi:10.1103/PhysRevA.40.2824
Rabinowitz, M.: High temperature superconductivity and cold fusion. Modern Phys. Lett. B 4, 233 (1990). doi:10.1142/S0217984990000301. URL http://adsabs.harvard.edu/abs/1990MPLB4.233R
Jackson, J.: Catalysis of nuclear reactions between hydrogen isotopes by \(\mu \)-mesons. Phys. Rev. 106(2), 330 (1957). doi:10.1103/PhysRev.106.330. URL http://adsabs.harvard.edu/abs/1957PhRv.106.330J
Evans, A.B.: 4-Space Dirac theory and LENR. J. Condens. Matter Nucl. Sci. 2, 7 (2009)
Evans, A.B.: Four-space formulation of Dirac’s equation. Found. Phys. 20(3), 309 (1990). doi:10.1007/BF00731695
Fearing, H.W., Scherer, S.: Field transformations and simple models illustrating the impossibility of measuring off-shell effects. Phys. Rev. C 62(3), 034003 (2000). doi:10.1103/PhysRevC.62.034003
Tyutin, I.V.: Once again on the equivalence theorem. Phys. At. Nucl. 65(1), 194 (2002). doi:10.1134/1.1446571
Newton, T.D., Wigner, E.P.: Localized states for elementary systems. Rev. Mod. Phys. 21(3), 400 (1949). doi:10.1103/RevModPhys.21.400
Wightman, A.S.: On the localizability of quantum mechanical systems. Rev. Mod. Phys. 34(4), 845 (1962). doi:10.1103/RevModPhys.34.845
Alvarez, E.T.G., Gaioli, F.H.: Feynman’s proper time approach to QED. Found Phys. 28(10), 1529 (1998). doi:10.1023/A:1018882101146
Gorelik, V.S.: Effective mass of photons and the existence of heavy photons in photonic crystals. Phys. Scr. 2010(T140), 014046 (2010). doi:10.1088/0031-8949/2010/T140/014046
Gorelik, V.S.: Bound and dark photonic states in globular photonic crystals. Acta Physica Hungarica A 26(1–2), 37 (2006). doi:10.1556/APH.26.2006.1-2.6
Gorelik, V.S.: Optics of globular photonic crystals. Quantum Electron. 37(5), 409 (2007). doi:10.1070/QE2007v037n05ABEH013478. URL http://www.turpion.org/php/paper.phtml?journal_id=qe&paper_id=13478
John, S., Wang, J.: Quantum electrodynamics near a photonic band gap: photon bound states and dressed atoms. Phys. Rev. Lett. 64(20), 2418 (1990). doi:10.1103/PhysRevLett.64.2418
André, P.J.J.-M.: Effective mass of photons in a one-dimensional photonic crystal. Phys. Scr. 84(3), 035708 (2011). doi:10.1088/0031-8949/84/03/035708
Weinberg, S.: Nuclear forces from chiral lagrangians. Phys. Lett. B 251(2), 288 (1990). doi:10.1016/0370-2693(90)90938-3. URL http://65.54.113.26/Publication/18408213/nuclear-forces-from-chiral-lagrangians
Weinberg, S.: Phenomenological lagrangians. Phys. A 96(1–2), 327 (1979). doi:10.1016/0378-4371(79)90223-1. URL http://www.sciencedirect.com/science/article/pii/0378437179902231
Epelbaum, E.: Nuclear forces from chiral effective field theory: a primer. arXiv:1001.3229 (2010). URL http://arxiv.org/abs/1001.3229
Land, M.C., Horwitz, L.P.: Off-Shell Quantum Electrodyn (1996). URL http://arxiv.org/abs/hepth/9601021 arXiv:hepth/9601021
Coleman, S.: Fate of the false vacuum: semiclassical theory. Phys. Rev. D 15(10), 2929 (1977). doi:10.1103/PhysRevD.15.2929
Tomsovic, S., Ullmo, D.: Chaos-assisted tunneling. Phys. Rev. E 50(1), 145 (1994). doi:10.1103/PhysRevE.50.145
Hagelstein, P.L.: Resonant tunneling and resonant excitation transfer. In: Proceedings, ICCF-12, pp. 871–886. Cambridge, MA, USA (2005). doi:10.1142/9789812701510_0079. URL http://adsabs.harvard.edu/abs/2005cmns.conf.871H
Li, X.Z.: Overcoming of the gamow tunneling insufficiencies by maximizing the damp-matching resonant tunneling. Czechoslovak J. Phys. 49(6), 985 (1999). doi:10.1023/A:1021485221050
Grifoni, M., Hänggi, P.: Driven quantum tunneling. Phys. Rep. 304(5–6), 229 (1998). doi:10.1016/S0370-1573(98)00022-2. URL http://www.sciencedirect.com/science/article/pii/S0370157398000222
Saad, D., Horwitz, L.P., Arshansky, R.I.: Off-shell electromagnetism in manifestly covariant relativistic quantum mechanics. Found. Phys. 19(10), 1125–1149 (1989). doi:10.1007/BF00731876
Horwitz, L.P., Arshansky, R.I., Elitzur, A.C.: On the two aspects of time: The distinction and its implications. Found. Phys. 18(12), 1159 (1988). doi:10.1007/BF01889430
Land, M.C., Horwitz, L.P.: Green’s functions for off-shell electromagnetism and spacelike correlations. Found. Phys. 21(3), 299 (1991). doi:10.1007/BF01883636
Land, M.C.: Particles and events in classical off-shell electrodynamics. Found. Phys. 27(1), 19 (1997). doi:10.1007/BF02550153
Land, M.: Abraham-Lorentz-Dirac equation in 5D Stuekelberg electrodynamics. J. Phys. Conf. Ser. 330, 012015 (2011). doi:10.1088/1742-6596/330/1/012015. URL http://iopscience.iop.org/1742-6596/330/1/012015
Horwitz, L.: Spin, angular momentum and spin-statistics for a relativistic quantum many-body system. J. Phys. A 46(3), 035305 (2013). URL http://stacks.iop.org/1751-8121/46/i=3/a=035305
Horwitz, L.P., Arshansky, R.: On relativistic quantum theory for particles with spin 1/2. J. Phys. A 15(12), L659 (1982). doi:10.1088/0305-4470/15/12/002. URL http://iopscience.iop.org/0305-4470/15/12/002
Fanchi, J.: Resolution of the Klein paradox for spin-1/2 particles. Found. Phys. 11(5), 493 (1981). doi:10.1007/BF00727077. URL http://www.springerlink.com/content/v3211wt465115256/abstract/
Piron, C., Reuse, F.: Relativistic dynamics for the spin 1/2 particle. Helv. Phys. Acta 51, 146–176 (1978)
Horwitz L.P., Piron, C., Reuse, F.: Relativistic dynamics for the Spin 1/2 particle. Helv. Phys. Acta 48(4), 546–548; 48(4) (1975). URL http://www.osti.gov/energycitations/product.biblio.jsp?osti_id=4018859
Proca, A.: J. Phys. Rad. 7, 347–353 (1936)
Lee, T.D., Yang, C.N.: Theory of charged vector memons interacting with the electromagnetic field. Phys. Rev. 128(2), 885 (1962). doi:10.1103/PhysRev.128.885
Ruck, H.M., Greiner, W.: A study of the electromagnetic interaction given by relativistic spin-1 wave equations in elastic scattering of polarized spin-1 nuclei or mesons. J. Phys. G 3(5), 657 (1977). doi:10.1088/0305-4616/3/5/013. URL http://iopscience.iop.org/0305-4616/3/5/013
Kaplan, D.B., Savage, M.J., Wise, M.B.: Perturbative calculation of the electromagnetic form factors of the deuteron. Phys. Rev. C 59(2), 617 (1999). doi:10.1103/PhysRevC.59.617
Horwitz, L.P., Katz, N., Oron, O.: Could the classical relativistic electron be a strange attractor? Discret. Dyn. Nat. Soc. 2004(1), 179 (2004). doi:10.1155/S1026022604401034. URL http://www.hindawi.com/journals/ddns/2004/205916/abs/
Roitgrund, A., Horwitz, L.: Simulation of the radiation reaction orbits of a classical relativistic charged particle with generalized off-shell Lorentz force. Discret. Dyn. Nat. Soc. 2010 1(2010). doi:10.1155/2010/602784. URL https://eudml.org/doc/230976
Burakovsky, L., Horwitz, L.P., Schieve, W.C.: New relativistic high-temperature Bose-Einstein condensation. Phys. Rev. D 54(6), 4029 (1996). doi:10.1103/PhysRevD.54.4029
Land, M.: Higher-Order Kinetic Term for Controlling Photon Mass in Off-Shell Electrodynamics (2006) 2003, doi:10.1023/A:1025670806787. URL http://arxiv.org/abs/hepth/0603074. Found. Phys. 33:1157-1175 arXiv:hepth/0603074
Horwitz, L., Schieve, W., Piron, C.: Gibbs ensembles in relativistic classical and quantum mechanics. Ann. Phys. 137(2), 306 (1981). doi:10.1016/0003-4916(81)90199-8. URL http://www.sciencedirect.com/science/article/pii/0003491681901998
Berestetskii, V.B., Pitaevskii, L.P., Lifshitz, E.M.: Quantum Electrodynamics, Second Edition: Volume 4, 2nd edn. Butterworth-Heinemann (1982).
Hagelstein, P.L., Chaudhary, I.U.: Electron mass shift in nonthermal systems. J. Phys. B 41(12), 125001 (2008). doi:10.1088/0953-4075/41/12/125001. URL http://iopscience.iop.org/0953-4075/41/12/125001
Huke, A., Czerski, K., Heide, P., Ruprecht, G., Targosz, N., Żebrowski, W.: Enhancement of deuteron-fusion reactions in metals and experimental implications. Phys. Rev. C 78(1), 015803 (2008). doi:10.1103/PhysRevC.78.015803
Huke, A., Czerski, K., Heidea, P.: Experimental techniques for the investigation of the electron screening effect for d+d fusion reactions in metallic environments. Nucl. Phys. A 719(0), C279 (2003). doi:10.1016/S0375-9474(03)00932-1. URL http://www.sciencedirect.com/science/article/pii/S0375947403009321
Huke, A., Czerski, K., Heide, P.: Measurement of the enhanced screening effect of the d + d reactions in metals. Nucl. Instrum. Methods Phys. Res. B 256(2), 599 (2007). doi:10.1016/j.nimb.2007.01.082. URL http://www.sciencedirect.com/science/article/pii/S0168583X07001784
Arensburg, A., Horwitz, L.P.: A first-order equation for spin in a manifestly relativistically covariant quantum theory. Found. Phys. 22(8), 1025 (1992). doi:10.1007/BF00733394
Rolfs, C.: Enhanced electron screening in metals: a plasma of the poor man. Nucl. Phys. News 16(2), 9 (2006)
Firestone, R.B., Baglin, C.M., Chu, S.Y.F.: Table of isotopes. Wiley (1999).
Ziegler, J.F., Biersack, J.P., Ziegler, M.D.: SRIM–The Stopping and Range of Ions in Matter. SRIM Co. (2008).
Kołos, W., Wolniewicz, L.: Accurate adiabatic treatment of the ground state of the hydrogen molecule. J. Chem. Phys. 41(12), 3663 (1964). doi:10.1063/1.1725796. URL http://jcp.aip.org/resource/1/jcpsa6/v41/i12/p3663_s1?isAuthorized=no
Hagelstein, P.L., Senturia, S.D., Orlando, T.P.: Introductory Applied Quantum and Statistical Mechanics. Wiley (2004).
Iwamura, Y., Itoh, T., Tsuruga, S.: Increase of reaction products in deuterium permeation induced transmutation. In: ICCF-17, p. 6. South Korea, Daejeon (2012).
Nagel, D.: Characteristics and energetics of craters in LENR experimental materials. J Condens. Matter Nucl. Sci. 10, 1 (2013)
Szpak, S., Mosier-Boss, P.A., Young, C., Gordon, F.E.: Evidence of nuclear reactions in the Pd lattice. Naturwissenschaften 92(8), 394 (2005). doi:10.1007/s00114-005-0008-7
Toriyabe, Y., Mizuno, T., Ohmori, T., Aoki, Y.: Elemental analysis of palladium electrodes after Pd/Pd light water critical analysis. In: Proceedings, ICCF-12. World Scientific Publishing Co., Pte. Ltd., Yokohama, Japan (2006), pp. 253–263. doi:10.1142/9789812772985_0025. URL http://adsabs.harvard.edu/abs/2006cmns12.253T
Zhang, W.S., Dash, J.: Excess heat reproducibility and evidence of anomalous elements after electrolysis in Pd/D2 + H\(_{2}\)SO\(_{4}\) electrolytic cells. In: Proceedings, ICCF-13, p. 202. Russia, Sochi (2007).
Iwamura, Y.: Detection of anomalous elements, X-Ray, and excess heat in D2-Pd system. Fusion Sci. Technol 33(4), 476 (1998)
Iwamura, Y., Itoh, T., Sakano, M., Yamazaki, N., Kuribayashi, S., Terada, Y., Ishikawa, T., Kasagi, J.: Observation of nuclear transmutation reactions induced by D2 gas permeation through pd complexes. In: ICCF-11, vol. 11, pp. 339–350. Marseilles, France (2006) doi:10.1142/9789812774354_0027. URL http://adsabs.harvard.edu/abs/2006cmns11.339I
Acknowledgments
The author acknowledges valuable correspondence with Lawrence Horwitz, and valuable discussions with Peter Hagelstein, Michael McKubre, David Nagel, and Paul Marto. He also acknowledges Vladimir Kresin for extensive critical but good-spirited and helpful discussions. Any errors are entirely the author’s, and he makes no claim of endorsement of this theory by anyone.
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Davidson, M. Theories of Variable Mass Particles and Low Energy Nuclear Phenomena. Found Phys 44, 144–174 (2014). https://doi.org/10.1007/s10701-014-9774-4
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DOI: https://doi.org/10.1007/s10701-014-9774-4