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10 papers · 1 filter
Equivalent forms of Dirac equations in curved spacetimes and generalized de Broglie relations
Mayeul Arminjon, Frank Reifler
One may ask whether the relations between energy and frequency and between momentum and wave vector, introduced for matter waves by de Broglie, are rigorously valid in the presence…
General reference frames and their associated space manifolds
Mayeul Arminjon, Frank Reifler
We propose a formal definition of a general reference frame in a general spacetime, as an equivalence class of charts. This formal definition corresponds with the notion of a refer…
Measuring a Kaluza-Klein radius smaller than the Planck length
Frank Reifler, Randall Morris
Hestenes has shown that a bispinor field on a Minkowski space-time is equivalent to an orthonormal tetrad of one-forms together with a complex scalar field. More recently, the Dira…
Geometric Origin of Physical Constants in a Kaluza-Klein Tetrad Model
Frank Reifler, Randall Morris
An important feature of Kaluza-Klein theories is their ability to relate fundamental physical constants to the radii of higher dimensions. In previous Kaluza-Klein theory, which un…
Hestenes' Tetrad and Spin Connections
Frank Reifler, Randall Morris
Defining a spin connection is necessary for formulating Dirac's bispinor equation in a curved space-time. Hestenes has shown that a bispinor field is equivalent to an orthonormal t…
Inertial mass and the quantum vacuum fields
Bernard Haisch, Alfonso Rueda, York Dobyns
Even when the Higgs particle is finally detected, it will continue to be a legitimate question to ask whether the inertia of matter as a reaction force opposing acceleration is an…