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De Leo, Stefano
Quaternions and special relativity. (English) Zbl 0870.53061
J. Math. Phys. 37, No. 6, 2955-2968 (1996).
Recently, quaternions have been extensively used to rewrite or re-express many equations of physics. To reformulate special relativity, complexified quaternions have been used.
In this paper, the author defines a quaternionic algebra on the reals and uses it to demonstrate a “natural” reformulation of special relativity. Although it is difficult to discuss the question of whether one number system (quaternions) is more useful than the other (complexified quaternions), real linear quaternions have found frequent application in a noncommutative number system (quaternionic field) environment.
Reviewer: A.Bucki (Oklahoma City)

Cited in 16 Documents
MSC:
53Z05 Applications of differential geometry to physics
83A05 Special relativity
Keywords:
complexified quaternions; real linear quaternions
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\textit{S. De Leo}, J. Math. Phys. 37, No. 6, 2955--2968 (1996; Zbl 0870.53061)
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References:
[1] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[2] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[3] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[4] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[5] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[6] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[7] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[8] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[9] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[10] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[11] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[12] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[13] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[14] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[15] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[16] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[17] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[18] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[19] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[20] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[21] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[22] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[23] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[24] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[25] DOI: 10.1063/1.529528 · Zbl 0772.15016 · doi:10.1063/1.529528
[26] DOI: 10.1143/ptp/92.5.917 · doi:10.1143/ptp/92.5.917
[27] DOI: 10.1007/BF02741288 · doi:10.1007/BF02741288
[28] DOI: 10.1016/0003-4916(84)90068-X · Zbl 0558.46039 · doi:10.1016/0003-4916(84)90068-X
[29] DOI: 10.1073/pnas.44.3.280 · Zbl 0093.37303 · doi:10.1073/pnas.44.3.280
[30] DOI: 10.1073/pnas.44.3.280 · Zbl 0093.37303 · doi:10.1073/pnas.44.3.280
[31] Frobenius G., J. Reine Angew. Nath. 84 pp 59– (1878)
[32] DOI: 10.4006/1.3029063 · doi:10.4006/1.3029063
[33] DOI: 10.1119/1.1987651 · doi:10.1119/1.1987651
[34] DOI: 10.1119/1.1987651 · doi:10.1119/1.1987651
[35] DOI: 10.1119/1.1987651 · doi:10.1119/1.1987651
[36] DOI: 10.1088/0143-0807/10/3/005 · doi:10.1088/0143-0807/10/3/005
[37] DOI: 10.1088/0143-0807/10/3/005 · doi:10.1088/0143-0807/10/3/005
[38] DOI: 10.1088/0143-0807/10/3/005 · doi:10.1088/0143-0807/10/3/005
[39] DOI: 10.1088/0305-4470/24/14/013 · Zbl 0731.22016 · doi:10.1088/0305-4470/24/14/013
[40] DOI: 10.1142/S0217732389001106 · doi:10.1142/S0217732389001106
[41] De Leo S., Int. J. Mod. Phys. A 11 (1996)
[42] DOI: 10.1098/rspa.1931.0130 · Zbl 0002.30502 · doi:10.1098/rspa.1931.0130
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