On the Quaternion Transformation and Field Equations in Curved Space-Time
Tóm tắt
Từ khóa
Tài liệu tham khảo
Zhang T (2010) Fundamental Elements and Interactions of Nature: A Classical Unification Theory. Prog Phys 2:36–42
Beiser A (2003) Concepts of Modern Physics, 6th edn. McGraw-Hill, New York
Weinberg S (1972) Gravitation and Cosmology. John Wiley & Sons, New York
Dickson LE (1919) On Quaternion and their Generalization and the History of the eight square theorem. Ann Math 20:155–171
Hamilton WR (1969) Elements of Quaternions. (Vol. I & II) Chelsea Publishing, New York
Cayley A (1845) On certain results relating to quaternions. Phil Mag 26:141–145
Graves RP (1975) Life of Sir William Rowan Hamilton. (Vol 3) Arno Press, New York
Finklestein D, Jauch JM, Schiminovich S, Speiser D (1963) Principle of general quaternion covariance. J Math Phys 4:788–796
Adler SL (1995) Quaternion Quantum Mechanics and Quantum Fields. Oxford University Press, New York
Bisht PS, Negi OPS, Rajput BS (1991) Quaternion Gauge theory of dyonic fields. Prog Theor Phys 85:157–168
Imaeda K (1979) Quaternionic formulation of tachyons, superluminal transformations and a complex space-time. Nuovo Cimento B50:271–293
Negi OPS, Rajput BS (1983) Quaternionic formulation for electromagnetic field equations. Lett Nuovo Cimento 37:325–329
Majernik V (1999) Quaternionic formulation of the classical fields. Adv Appl Cliff Algebra 9:119–130
Chanyal BC (2017) A relativistic quantum theory of dyons wave propagation. Canadian J Phys 95:1200–1207
Chanyal BC (2018) A new development in quantum field equations of dyons. Canadian J Phys 96:1192–1200
Chanyal BC, Pathak M (2018) Quaternionic Approach to Dual Magneto-hydrodynamics of Dyonic cold plasma. Adv High Energy Phys Article ID 7843730: 13 pp
Chanyal BC (2019) Quaternionic approach on the Dirac Maxwell, Bernoulli and Navier Stokes equations for dyonic fluid plasma. Int J Mod Phys A 34:1950202
Chanyal BC, Karnatak S (2020) A comparative study of quaternionic rotational Dirac equation and its interpretation. Int J Geom Methods Mod Phys 17:2050018
Demir S, Tanisli M, Tolan T (2013) Octonic gravitational field equations. Int J Mod Phys A 28:1350112
Mironov VL, Mironov SV (2009) Octonic representation of electromagnetic field equations. J Math Phys 50:12901
Weng ZH (2015) Some properties of dark matter field in the complex octonion space. Int J Mod Phys A 30:1550212
Weng ZH (2019) Four interactions in the sedenion curved spaces. Int J Geom Methods Mod Phys 16:1950019
Chanyal BC, Bisht PS, Negi OPS (2010) Generalized octonion electrodynamics. Int J Theor Phys 49:1333–1343
Chanyal BC, Bisht PS, Negi OPS (2011) Generalized split-octonion electrodynamics. Int J Theor Phys 50:1919–1926
Chanyal BC, Sharma VK, Negi OPS (2015) Octonionic gravi-electromagnetism and dark matter. Int J Theor Phys 54:3516–3532
Chanyal BC (2015) Octonion generalization of Pauli and Dirac matrices. Int J Geom Methods Mod Phys 12:1550007
Chanyal BC, Chanyal SK, Bektas O, Yuce S (2016) A new approach on electromagnetism with dual number coefficient octonion algebra. Int J Geom Methods Mod Phys 13:1630013
Chanyal BC (2017) Split octonion reformulation for electromagnetic Chiral media of massive dyons. Commun Theor Phys 68:701–710
Chanyal BC (2016) Dual octonion electrodynamics with the massive field of dyons. J Math Phys 57:033503
Chanyal BC (2015) Classical geometrodynamics with Zorn vector-matrix algebra for gravito-dyons. Rep Math Phys 76:1–20
Agrawal G, Godani N (2015) Group of homeomorphisms on Minkowski space with time topology. Int J Math Sci Appl 5:193–198
Agrawal G, Godani N (2015) Invariance of domain in Minkowski space with path topology. Topol Appl 191:131–136
Agrawal G, Shrivastava S, Godani N, Sinha SP (2017) Topological properties of a curved spacetime. Rep Math Phys 80:295–305
Godani N (2019) Locally rotationally symmetric Bianchi type-II cosmological model in f(R, T) gravity. Indian J Phys 93:951–958
Heinbockel JH (1996) Introduction to tensor calculus and continuum mechanics. Old Dominion University, Virginia
Ferkinghoff-Borg J (2007) Introduction to vector and tensor analysis. University of Phoenix, Arizona
Hamilton WR (1853) Lectures on Quaternions. Hodge and Smith, Dublin
Myszkowski M (2019) A new perspective on space-time 4D rotations and the SO (4) transformation group. Results Phys 13:102141