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Two alternative Dirac equations with gravitation (2007)
| Content Provider | CiteSeerX |
|---|---|
| Author | Arminjon, Mayeul |
| Abstract | An analysis of the classical-quantum correspondence shows that it needs to identify a preferred class of coordinate systems. One such class is that of the locally-geodesic systems. If a preferred reference frame is available, a different class emerges. From the classical Hamiltonian that rules geodesic motion, the correspondence yields two distinct Klein-Gordon (KG) equations and two distinct Dirac equations in a general metric, depending on the class selected. Each of the two Dirac equations can be put in generally-covariant form, is compatible with the corresponding KG equation, transforms the wave function as a 4-vector, and differs from the standard (Fock-Weyl) gravitational Dirac equation. One obeys the equivalence principle in the usuallyaccepted sense, which the Fock-Weyl equation does not. Key words: Dirac and Klein-Gordon equations, wave mechanics, curved space-time, non-metric connection, preferred reference frame. 1 |
| File Format | |
| Publisher Date | 2007-01-01 |
| Access Restriction | Open |
| Subject Keyword | Non-metric Connection Generally-covariant Form Preferred Class Different Class Emerges Fock-weyl Equation Gravitational Dirac Equation Classical-quantum Correspondence Preferred Reference Frame Wave Function Klein-gordon Equation Equivalence Principle Alternative Dirac Equation Locally-geodesic System Correspondence Yield Usuallyaccepted Sense Coordinate System Classical Hamiltonian Dirac Equation Distinct Klein-gordon Corresponding Kg Equation Distinct Dirac Equation |
| Content Type | Text |
