Research Foundation of Southern California, La Jolla


110. Davis BK. 2020. Genetic Code Evolution Reconstructed with Aligned Metrics. Biorxiv doi: 10.11011/2020.07.29.227728
109. Davis S. 2020. Nonoverlapping Partitions of a Surface. Bull. Pure Appl. Sci., 39, E, 115-121.
108. Davis S. 2020. Sequences of Prime Exponents and Compositeness. Int. J. Math. Comp. 31, 51-59.
107. Davis S. 2020. The Physical States of a Boundary Conformal Field Theory. Int. J. Mod. Phys. A35, 2050021, 1-19.
106. Davis B.K. 2019. Proofing Center Transition from Codon:Anticodon Self-recognition to Complementarity.
        doi: 10.13140/RG.2.2.11619.40482
105. Davis S. 2019. Nontrivial Zeros of L-Functions. J. Interdiscip. Math. 22, 621-636.
104. Davis S. 2019. Goldbach Partitions and Norms of Cusp Forms. J. Numer. Anal. Approx. Theory. 98, 16-31.
103. Davis S. 2019. Estimates of Integrals within the Fundamental Region of the Modular Group. Pac. J. Appl. Math. 9, 271-288.
102. Davis S. 2019. Sums of Reciprocals of Integers. Notes Number Theory Discrete Math. 25, 1-7.
101. Davis S. 2019. Hyperelliptic Curves and Arithmetic Functions. Int. J. Geom. 8, 46-55.
100. Davis S. 2019. The classification of Riemann surfaces and conditions on the quantum theory. Ann. Acad. Rom. Sci.
        (Math. Appl.) 11, 24-28.
99. Davis S. 2019. Realizations of Three Dimensional Group Actions. Int. Res. J. Pure Alg. 9, 1--7.
98. Davis B.K. 2018. Origin of the Double Helix at the Codon-Anticodon Interface. doi: 10.13140/RG.2.2.28066.27643
97. Davis B.K. 2018. Origin of Watson-Crick Complementarity. doi: 10.13140/RG.2.2.25292.72322
96. Davis B.K. 2018. Deep-structure of the genetic code and the origin of replication: Path invariants as pre-LUCA
    attachment sites. FEBS Open Biology 8 (51)  doi: 10.13140/RG.2.2.20657.68967.
95. Davis S. 2018. Quantum Riemann surfaces and the measure of non-commutability. Quantum Phys. Lett. 7, 51-56.
94. Davis S. 2018. Supersymmetry and the magnetic moment. Quantum Phys. Lett. 7, 47-50.
93. Davis S. 2018.  Nonperturbative contributions to the Messier propagator in a class of strong interactions. Bull. Pure
       Appl. Sci., Physics, 37, 137-145.
92. Davis S. 2018. The coset space of the unified field theory. Appl. Sci. 20, 54-81.
91. Davis S. 2018. A condition on the masses of composite particles. Bull. Pure & Appl. Sci. 37e 208-222.   
90. Davis B.K. 2017. Hetero-polypentotide as a pre-RNA replicator: Origin of non-local order.
    doi: 10.13140/RG.2.2.10499.4045
89. Davis B.K. 2017. Probability evaluation with a compressed bootstrap.
88. Davis B.K. 2017. Colinearity of photon path-density maxima with interference intensity peaks.
87. Davis B.K. 2017. Photon Path Density: Inclusions 4i17.
86. Davis S. 2017. The distribution of prime pairs differing by 2. J. Discrete Math. Sci. & Crypt. 20, 1051-1068.  
85. Davis S. 2017. A conjecture on the degrees of algebraic equations. Notes on Number Theory & Discrete Math. 23, 84-90.  
84. Davis B.K. 2016. Photon path-density strongly correlates with photon intensity in self-interference.
83. Davis S. 2016. The quantum consistency of the twelve-dimensional theory. Internl. J. Mod. Phys. A31, 1650010:1-20.       
82. Davis B.K. 2015. Path invariants and the evolution of replication.
81. Davis S. 2015. Prime values of meromorphic functions and irreducible polynomials. Notes on Number Theory & Discrete
    Math. 21, 37-47.  
80. Davis S. 2015.Soft photons and the range of electromagnetic interactions in a medium  composed of particles and anti-
    particles Math. Sci. Lett. 4, 219-222.
79. Davis S. 2015. The embedding of maximally symmetric hypersurfaces in supersymmetric theories. Int. J. Geom. 4, 69-72.
78. Davis S. 2915. The mass of the ninth resonance of the psuedoscalar multiplet. Hadronic J. 38, 31-52.
77. Davis S. 2015. The Coulomb term in the atomic mass formula. Hadronic J. 38, 173-196.
76. Davis B.K. 2015. Path invariants and the evolution of replication.
75 Davis S. 2015.Soft photons and the range of electromagnetic interactions in a medium  composed of particles and anti-
   particles Math. Sci. Lett. 4, 219-222.
74. Davis S. 2015.The embedding of maximally symmetric hypersurfaces in supersymmetric  theories. Int. J. Geom. 4, 69-72.
73. Davis S. 2015.The mass of the ninth resonance of the pseudoscalar mutliplet Hadronic J.38 31-52.
72. Davis S. 2015.The Coulomb term in the atomic mass formula. Hadronic J. 38, 173-196.
71. Davis, B.K., Davis S. 2014. Conservation laws of dynamics based on complexity invariance.
70. Davis, S. 2014. The effect of vacuum polarization on the propagation of charged particles and light. Rev. Bras. Aplic. Vac.
    32, 33-42.
69. Davis, S. 2014. The algebraic framework of the fundamental interactions. Hadronic J. 37, 669-696
68. Davis, S. 2014. The intrinsic length of a closed geodesic on a Riemann surface and the fundamental domain of the
    modular group. J. Adv. Math. Appl. 3, 101-108.
67. Davis S. 2014 Arithmetical sequences of the exponents of composite Mersenne numbers. Notes Number Theory Discrete
    Math. 20,19-26.    
66. Davis BK. 2013 An organizing principle for the emergence of life.
65. Davis, B.K. 2013. Making sense of the genetic code with the path-distance model based on tRNA-dependent pathways.
64. Davis, B.K. 2013. Complementary H-bond pairing mechanism for replication of a binary polypentose sequence.
63. Davis, S. 2013. The effect of vacuum polarization on the propagation of charged particles and light.   
    Rev. Bras. Aplic. Vac.32, 33-42.  
62. Davis, S. 2013. Cantor manifolds and compact spaces. Balkan J. Geom. Appl. 19, 160-172.
61. Davis S. 2013. The group E6 and the formulation of string theory. Bull. Pure Appl. Sci. Sec. E: Math. Stat. 32, 141-159.
60. Davis, S. 2013. An auxiliary polynomial aligned with the Fermat equation. Adv. Studies Cont. Math. 23, 587-605
59. Davis, S. 2013. Supersymmetric fixed points for elementary particle masses. Balkan Phys. Lett. 21, 1-15.   
58. Davis, B.K. 2012. Replicative-form of poly(triose-phosphate).    
57. Davis, S. 2012. Quantization of charge in the standard model. Global Pure Appl. Math. 8, 287-293
56. Davis, S. 2012. Curvature and the Planck constant. Pacific J. Appl. Math. 5, 45-50.
55. Davis, S. 2012. Supersymmetry and the Hopf fibration. Appl. Gen Topol. 13, 103-113.
54. Davis, S. 2012. The uncertainty principle and large genus. J. Uncertain Sys. 6, 61-70.
53. Davis, S. 2012. The truncation and renormalizibility of the superstring and heterotic string effective actions. Rep. Math.   
    Phys. 69,383-418.
52. Davis, S. 2012. Univalent function and Diff(S')/S'. Acta Math. Scinica, English Series, 28, 1233-1236.
51. Davis, S. 2012. The most probable configuration of a quantum gravity model. Bull. Soc.Roy. Sci Liege 81, 101-121.
50. Davis, B.K. 2011. Genetic code domains conserve the imprint of tRNA cofactors encoded to specify cognate amino acid
49. Davis, B.K. 2011. Modular structure of the genetic code provides a link to the complete RNA code. http:/  
48. Davis, S. 2011. The quantum consistency of the ten-dimensional heterotic string effective action. Commun. Theo. Phys.      
    55, 857-82.
47. Davis, S. 2011. Holomorphic factorization of superstring scattering amplitudes. Commun. Theor. Phys. 55, 1-5.
46. Davis, S. 2011. String compactifications and the Regge trajectories for resonances of the strong interactions. Int. J.
   Pure Appl. Math. 70, 25-38.
45. Davis, S., Davis, B.K. 2010. A complexity minimization principle for dynamical processes Int. J. Math. Anal. 4, 2243-2259.
44. Davis, S. 2010. Gravitational field equations with a new tensor term with vanishing covariant divergence. Il Nuovo Cim.
    B 125, 1193-1199.
43. Davis, S. 2010. The valence quark momentum in the nucleon. Hadron J. 33, 99-106.
42. Davis, S., 2010. The quasilocal supercharge and the energy of matter in a space-time of approximately constant    
    curvature. Hadron J. 33, 71-98.
41. Davis, B.K. 2009. On mapping the genetic code. J. Theor. Biol. 259, 860-862.
40. Davis, S. 2009. Coset space supersymmetry from twelve dimensions. Il Nuov. Cim. B 124, 947-958.
39. Davis, S. 2009. A theoretical explanation of the Cabibbo angle. Hadron J. 32, 623-628.
38. Davis, S. 2009. The string theoretical description of hadron jets. Hadron J. 32, 609-622.
37. Davis, S. 2009. A mechanism for obtaining a rapidly decreasing cosmological term at classical scales. Gen. Rel.
    Gravit. 41, 2361-2380.
36. Davis, S. 2009. A finite algorithm for the solution to an algebraic equation. Int. J.Algebra 3, 449-460.       
35. Davis, B.K. 2008. Deep-structure of the 'universal" genetic code and the origin of  proteins. FEBS J. 275, Supp. 1,   
34. Davis, B.K. 2008. Comments on the Search for the Source of the Genetic Code: A Correction.   
33. Davis, B.K. 2008. Comments on the search for the source of the genetic code. In: Messenger RNA Research
    Perspectives Takeyama, T. editor. New York: Nova Science. pp. 1-8.
32. Davis, B.K. 2008. Imprint of early tRNA diversification on the genetic code: Domains of contiguous codons read by
    related adaptors  for sibling amino acids. In: Messenger RNA Research Perspectives Takeyama, T. editor. New York:
    Nova Science. pp. 35-79.
31. Davis, S. 2008. Boundary effects in string theory and the effective string coupling. Mod.
    Phys. Lett A 23, 1921-1927.
30. Davis, S. 2008. Mass mixing between generations of quarks and neutrinos. Hadron J. 31, 543-552.
29. Davis, B.K. 2007. Making sense of the genetic code with the path-distance model. In: Ostrovskiy, M.H. editor. Leading-
    Edge Messenger RNA Research Communications. New York: Nova Science. pp. 1-32.
28. Davis, B.K. 2007. Ancient transitional codes shaped the genetic code. American Chemical Society. 41st Western  
    Regional Meeting San Diego. Abstr. 302. p. 258-259. http://www.archive.details/AncientTransitionalCodesShapedThe   
27. Davis, B.K. 2007. A path-distance model explains the structure of the genetic code. Abstracts. AAAS Annual Meeting
    Abstracts. AAAS Annual Meeting (Genomics and Proteomics). San Francisco. p. 91.
26. Davis, S. 2007. Energy in the very early universe. Phys. Lett. B 649, 299-309.  
25. Davis, S. 2006. Genus-dependence of superstring amplitudes . Phys. Rev. D 74, 1-13.
24. Davis, S. 2006. Quantum theory and the category of complex numbers. Int. J. Theo. Phys. 45, 1914-1929.
23. Davis, B.K. 2005. Coevolution theory of the genetic code: is the precursor-product hypothesis invalid? BioEssays, 27;  
22. Davis, B.K. 2005. Asp-tRNA(Asn): to be or not to be? BioEssays, 27; 1310.
21. Davis, S. 2005. Effectively closed infinite genus surfaces and the string coupling. Int. Mod. Phys. A 20, 821-850.
22. Davis, S. 2005. Connections and generalized gauge transformations. Int. J. Geom. Meth. Mod. Phys. 2, 505-542.
20. Davis, B.K. 2004. Expansion of the genetic code in yeast: making life more complex. BioEssays, 26; 111-115.
19. Davis, S. 2004. A proof of the odd perfect number conjecture. RFSC 04-01/arxiv:hep-th 0401052
20. Davis, S. 2003. Effectively closed infinite-genus surfaces and the string coupling. SFB 288/601/arxiv:hep-th 0312101
19. Davis, B.K. 2002. Molecular evolution before the origin of species. Prog. Biophys. Mol. Biol. 79; 77-133.
18. Davis, B.K. 2000. Darwinian aspects of molecular evolution at sublinear propagation rates. Bull. Math. Biol. 62; 675-94.
17. Davis, B.K. 1999. Evolution of the genetic code. Prog. Biophys. Mol. Biol. 72; 157-243.
16. Davis, B.K. 1999. Residue profile in predivergence sequences as a guide to the origin of DNA replication.
15. Davis, B.K. 1998. The forces driving molecular evolution. Prog. Biophys. Mol. Biol. 69; 83-150.
    1999. Erratum. Prog. Biophys. Mol. Biol. 71; I-II.
14. Davis, B.K. 1998. The genetic code as a chronicle of early events in the origin of life.     
13. Davis, B.K. 1997. Transition to the most probable kinetic state in a pre-steady state system.
12. Davis, B.K. 1996. Darwinian evolution by self-propagating species under fractional order  kinetics. Bull. Math. Biol. 58;
    99-101. .
11. Davis, B.K. 1996. A theory of evolution that includes pre-biotic self-organization and episodic species formation.
    Bull Math. Biol. 58;  65-97.
10. Davis, B.K. 1996. A fitness principle for pre-Darwinian evolution based on selection of the least action path. J. Mol.
    Evol. 43; 1-3.
9. Davis, B.K. 1995. Significance of strand configuration in self-replicating RNA molecules. Phil. Trans. Roy. Soc. (London)
  B 350, 345-352.
8. Davis, B.K. 1995 Stability of replicative form and fitness among RNA variants transcribed  by Qβ replicase. Proc. Roy.
  Soc. (London) B 260; 39-43.
7. Davis, B.K. 1994. On producing more complexity than entropy in replication. Proc. Natl. Sci. U.S.A. 91; 6639-43.                  
6. Davis, S. 1994. Configurations of handles and the classification of divergencies in the string partition function. Class.
  Quant. Grav. 11, 1185-1200.   
5. Davis, B.K. 1993. Complexity acquisition during prebiotic evolution. Origins of Life 24; 205-206.          
4. Davis, B.K. 1991. Variations in polymer fitness at elevated mutation rates. Bull. Math. Biol. 53; 751-68.    
3. Davis, B.K. 1991. Kinetics of rapid RNA evolution in vitro. J. Mol. Evol. 33; 343-56.      
2. Davis, B.K. 1985. Sperm decapacitation by membrane vesicles from seminal plasma. In  Frontiers of membrane research
   in agriculture  (St. John, J. B. et al. eds.) Beltsville Symposia in Agricultural Research 9. Rowman and Allanheld:
  Totowa, pp. 335-343.
1. Davis, B.K., Davis, N.V. 1983. Binding by glycoproteins of seminal plasma-membrane  vesicles accelerates
  decapacitation in rabbit spematozoa. Biochim. Biophys. Acta 727; 70-76.