A Perdurable Defence to Weyl’s Unified Theory

Affiliation(s)

Department of Applied Physics, National University of Science and Technology, Bulawayo, Republic of Zimbabwe.

Department of Applied Physics, National University of Science and Technology, Bulawayo, Republic of Zimbabwe.

ABSTRACT

Einstein
dealt a lethal blow to Weyl’s unified theory by arguing that Weyl’s theory was
at the very best—beautiful, and at the very least,
un-physical, because its concept of variation of the length of a vector from
one point of space to the other meant that certain absolute quantities, such as
the “fixed” spacing of atomic spectral lines and the Compton wavelength of an
Electron for example, would change arbitrarily as they would have to depend on
their prehistories. This venomous criticism of Einstein to Weyl’s theory
remains much alive today as it was on the first day Einstein pronounced it. We
demonstrate herein that one can overcome Einstein’s criticism by recasting Weyl’s
theory into a new Weyl-kind of theory were the length of vectors are preserved
as is the case in Riemann geometry. In this *New Weyl Theory*, the Weyl
gauge transformation of the Riemann metric *g*_{μν} and the Maxwellian
electromagnetic field *A*_{μ} are preserved.

KEYWORDS

Gravitation and Electricity, None Riemann Geometry, Weyl Unified Theory, Unified Field Theory

Gravitation and Electricity, None Riemann Geometry, Weyl Unified Theory, Unified Field Theory

Cite this paper

Nyambuya, G. (2014) A Perdurable Defence to Weyl’s Unified Theory.*Journal of Modern Physics*, **5**, 1244-1253. doi: 10.4236/jmp.2014.514124.

Nyambuya, G. (2014) A Perdurable Defence to Weyl’s Unified Theory.

References

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http://vixra.org/abs/1401.0168

[2] Straub, W.O. (2013) Some Observations on Schrodinger’s Affine Connection.

http://vixra.org/abs/1402.0151

[3] Afriat, A. (2008) How Weyl Stumbled across Electricity While Pursuing Mathematical Justice. arXiv:0804.2947v1

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http://dx.doi.org/10.1007/BF01339504

[6] Weyl, H.K.H. (1927) Proceedings of the National Academy of Sciences, 15, 323-334.

http://dx.doi.org/10.1073/pnas.15.4.323

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[8] Eddington, A.S. (1921) A Generalisation of Weyl’s Theory of the Electromagnetic and Gravitational Fields. Proceedings of the Royal Society of London, Series A, 99, 104-122.

http://dx.doi.org/10.1098/rspa.1921.0027

[9] Dirac, P.A.M. (1973) Proceedings of the Royal Society of London A, Mathematical and Physical Sciences, 333, 403-418.

[10] Cattani, C., Scalia, M., Laserra, E., Bochicchio, I. and Nandi, K.K. (2013) Physical Review D, 87, Article ID: 047503.

http://dx.doi.org/10.1103/PhysRevD.87.047503

[11] Scholz, E. (2011) Weyl Geometry in Late 20th Century Physics. arXiv:1111.3220v1 [math.HO]

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[14] Schrodinger, E. (1945) Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences, 51, 163-171.

[15] Schrodinger, E. (1945) Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences, 51, 205-216.

[1] Straub, W.O. (2013) On the Failure of Weyl’s 1918 Theory.

http://vixra.org/abs/1401.0168

[2] Straub, W.O. (2013) Some Observations on Schrodinger’s Affine Connection.

http://vixra.org/abs/1402.0151

[3] Afriat, A. (2008) How Weyl Stumbled across Electricity While Pursuing Mathematical Justice. arXiv:0804.2947v1

[4] Pais, A. (2005) Subtle Is the Lord. Oxford University Press, Oxford.

[5] Weyl, H.K.H. (1927) Zeitschrift fur Physik, 56, 330-352.

http://dx.doi.org/10.1007/BF01339504

[6] Weyl, H.K.H. (1927) Proceedings of the National Academy of Sciences, 15, 323-334.

http://dx.doi.org/10.1073/pnas.15.4.323

[7] Einstein, A. (1952) Sidelights on Relativity. Dover, New York.

[8] Eddington, A.S. (1921) A Generalisation of Weyl’s Theory of the Electromagnetic and Gravitational Fields. Proceedings of the Royal Society of London, Series A, 99, 104-122.

http://dx.doi.org/10.1098/rspa.1921.0027

[9] Dirac, P.A.M. (1973) Proceedings of the Royal Society of London A, Mathematical and Physical Sciences, 333, 403-418.

[10] Cattani, C., Scalia, M., Laserra, E., Bochicchio, I. and Nandi, K.K. (2013) Physical Review D, 87, Article ID: 047503.

http://dx.doi.org/10.1103/PhysRevD.87.047503

[11] Scholz, E. (2011) Weyl Geometry in Late 20th Century Physics. arXiv:1111.3220v1 [math.HO]

[12] Einstein, A. and Straus, E.G. (1946.) Annals of Mathematics, 47, 731. [See also: Einstein, A. (1948) Reviews of Modern Physics, 20, 35; Einstein, A. (1950) Canadian Journal of Mathematics, 2, 120.]

[13] Schrodinger, E. (1948) Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences, 52, 1-9.

[14] Schrodinger, E. (1945) Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences, 51, 163-171.

[15] Schrodinger, E. (1945) Proceedings of the Royal Irish Academy Section A: Mathematical and Physical Sciences, 51, 205-216.