Abstract
A survey is given of the elegant physics of N-particle systems, both classical and quantal, non-relativistic (NR) and relativistic, non-gravitational (SR) and gravitational (GR). Chapter 1 deals exclusively with NR systems; the correspondence between classical and quantal systems is highlighted and summarized in two tables of Sec. 1.3. Chapter 2 generalizes Chapter 1 to the relativistic regime, including Maxwell’s theory of electromagnetism. Chapter 3 follows Einstein in allowing gravity to curve the spacetime arena; its Sec. 3.2 is devoted to the yet missing theory of elementary particles, which should determine their properties and interactions. If completed, it would replace QFT; promising is the ‘metron’ approach.
Similar content being viewed by others
References
Barut A.O. (1988).“Quantum-electrodynamics based on self-energy”. Phys. Scripta. T21: 18–21
de Beauregard O.C. (1976). “Time symmetry and the interpretation of quantum mechanics”. Found. Phys. 6: 539–559
Bjorken J.D., Drell S.D. (1964) Relativistic Quantum Mechanics. McGraw-Hill, New York
Born M., Jordan P. (1925). “Zur Quantenmechanik”. Z. Phys. 34: 858
Cohen E.G.D. (1961). Fundamental Problems in Statistical Mechanics. North Holland, Amsterdam
De Groot S.R., Suttorp L.G. (1972). Foundations of Electrodynamics. North Holland, Amsterdam
Dyson F. (1992). From Eros to Gaia. Pantheon Books, New York
Ehlers J. (1973). “Survey of General Relativity Theory”. In: Israel W. (ed) Relativity, Astrophysics and Cosmology. Reidel, Dordrecht, pp. 1–125
Ehlers J. (1998). “The Newtonian Limit of General Relativity”. In: Richter A.K. (ed) Understanding Physics. Copernicus Ges., Katlenburg-Lindau, pp. 1–13
Ellis G. (2006). “Unburdened by proof”. Nature 443: 507–508
Falk, G. “Handbuch der Physik II,” in S. Flügge, ed. (Springer, Berlin, 1955), p. 32.
Fischer, W., Leschke, H. and Müller, P., “The Weyl–Wigner–Moyal representation,” in Understanding Physics, A. K. Richter, ed. (Copernicus Ges., Katlenburg-Lindau, 1998), pp. 79–121.
Gleason A.M. (1957). “Measures on the Closed Subspaces of a Hilbert Space”. J. Math. Mech. 6: 885–893
Hasselmann, K. “The Metron Model: elements of a unified deterministic theory of fields and particles; Parts 1–4,” Phys. Essays 9, 311–325; 460–475 (96) (1996); 10, 64–86; 269–286 (1997).
Hasselmann K. (1998). “The Metron Model: towards a unified deterministic theory of fields and particles”. In: Richter A.K. (ed) Understanding Physics. Copernicus Ges., Katlenburg-Lindau, pp. 154–186
Hasselmann, K. and Hasselmann, S. “The Metron Model: a unified deterministic theory of fields and particles—a progress report,” in Proceedings 5th International Conference, Symmetry in Nonlinear Mathematical Physics (Institute of Mathematics of NAS of Ukraine, Kiev, 23.–29.06.2004, 2005), pp. 788–795.
Heusler M. (1996). Black Hole Uniqueness Theorems (Cambridge Lecture Notes) in Physics 6. University Press, Cambridge
Hudson R.L. (1974). “When is the Wigner quasi-probability density non-negative?,” Rep. Math. Phys. 6: 249–252
Kaluza, Th. “Zum Unitätsproblem der Physik,” Sitzungsber. Preuss. Akad. Wiss., Berlin, Math.-Phys. Kl. 966–972 (1921).
Kane G. (1987). Modern Elementary Particle Physics. Addison-Wesley, Reading, MA, 344 pp.
Klein O. (1926). “Quantentheorie und fünfdimensionale Relativitätstheorie,” Z. Phys. 37: 895– 906
Kundt W. (1966). “Canonical quantization of gauge-invariant field theories,” Springer Tracts in Mod. Phys. 40: 107–168
Kundt W. (1971). “Survey of Cosmology”. Springer Tracts in Mod. Phys. 58: 1–47
Kundt W. (2005). Astrophysics, A New Approach. Springer, Berlin, 223 pp.
Landau and Litshitz, Theoretical Physics (1966).
Leaf B. (1968). “Weyl transformation and the classical limit of quantum mechanics,” J. Math. Phys. 9: 65–72
Leschke, diploma thesis, Hamburg (1970).
Moyal J.E. (1949). “Quantum mechanics as a statistical theory,” Camb. Philos. Soc. 45: 99–124
Pais A. (1986). Inward Bound. Oxford University Press, Oxford
Penzlin F. (1963). “Die Methode der Feynmanschen Graphen”. Fortschr. Phys. 11: 357–420
Pool J.C.T. (1966). “Mathematical aspects of the Weyl correspondence”. J. Math. Phys. 7: 66–76
Schleich W. (2001). Quantum Optics in Phase Space. Wiley-VCH, New York, 498 pp.
Schweber S.S. (1994). QED and the Men Who Made It. Princeton University Press, Princeton, NJ
Shipsey I. (2005). “Weighty questions,” Nature 436: 186–187
Weyl H. (1928). “Quantenmechanik und Gruppentheorie”. Z. Phys. 46: 1–46
Wheeler J.A., Feynman R.P. (1945). “Interaction with the absorber as the mechanism of radiation”. Rev. Mod. Phys. 17: 157–181
Wheeler J.A., Feynman R.P. (1949). “Classical electrodynamics in terms of direct particle interaction,” Rev. Mod. Phys. 21: 425–433
Wigner E.P. (1932). “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40: 749–759
Wilczek F. (2005). “In search of symmetry lost”. Nature 433: 239–247
Witten E. (1981). “Search for a realistic Kaluza–Klein theory”. Nucl. Phys. B186: 412–428
Witten E. (2005). “Unravelling string theory”. Nature 438: 1085
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kundt, W. Fundamental Physics. Found Phys 37, 1317–1369 (2007). https://doi.org/10.1007/s10701-007-9150-8
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10701-007-9150-8