Paul de Haas - Academia.edu (original) (raw)
Uploads
Papers by Paul de Haas
Under a Lorentz-transformation, Mie's 1912 gravitational mass behaves identical as de Broglie's 1... more Under a Lorentz-transformation, Mie's 1912 gravitational mass behaves identical as de Broglie's 1923 clock-like frequency. The same goes for Mie's inertial mass and de Broglie's wave-like frequency. This allows the interpretation of de Broglie's "Harmony of the Phases" as a "Principle of Equivalence" for Quantum Gravity. Thus, the particle-wave duality can be given a realist interpretation. The "Mie-de Broglie" interpretation suggests a correction of Hamilton's variational principle in the quantum domain. The equivalence of the masses can be seen as the classical "limit" of the quantum equivalence of the phases.
The Gravity Probe B (GP-B) experiment measured the geodetic precession due to parallel transport ... more The Gravity Probe B (GP-B) experiment measured the geodetic precession due to parallel transport in a curved space-time metric, as predicted by de Sitter, Fokker and Schiff. Schiff included the Thomas precession in his treatment and argued that it should be zero in a free fall orbit. We review the existing interpretations regarding the relation between the Thomas precession and the geodetic precession for a gyroscope in a free fall orbit. Schiff and Parker had contradictory views on the status of the Thomas precession in a free fall orbit, a contradiction that continues to exist in the literature. In the second part of this paper we derive the geodetic precession as a global Thomas Precession by use of the Equivalent Principle and some elements of hyperbolic geometry, a derivation that allows the treatment of GP-B physics in between SR and GR courses.
Drafts by Paul de Haas
I begin with a short historical analysis of the problem of the electron from Lorentz to Dirac. It... more I begin with a short historical analysis of the problem of the electron from Lorentz to Dirac. It is my opinion that this problem has been quasi frozen in time because it has always been formulated within the paradigm of the Minkowski-Laue consensus, the relativistic version of the Maxwell-Lorentz theory. By taking spin away from particles and putting it in the metric, thus following Dirac's vision, I start my attempt to formulate an alternative math-phys language. In the created non-commutative math-phys environment, biquaternion and Clifford algebra related, I formulate an alternative for the Minkowski-Laue consensus. This math-phys environment allows me to formulate a generalization of the Dirac current into a Dirac probability/field tensor with connected closed system condition. This closed system condition includes the Dirac current continuity equation as its time-like part. A generalized Klein Gordon equation that includes this Dirac current probability tensor is formulated and analyzed. The Standard Model's Dirac current based Lagrangians are generalized using this Dirac probability/field tensor. The Lorentz invariance or covariance of the generalized equations and Lagrangians is proven. It is indicated that the Dirac probability/field tensor and its closed system condition closes the gap with General Relativity quite a bit.
Under a Lorentz-transformation, Mie's 1912 gravitational mass behaves identical as de Broglie's 1... more Under a Lorentz-transformation, Mie's 1912 gravitational mass behaves identical as de Broglie's 1923 clock-like frequency. The same goes for Mie's inertial mass and de Broglie's wave-like frequency. This allows the interpretation of de Broglie's "Harmony of the Phases" as a "Principle of Equivalence" for Quantum Gravity. Thus, the particle-wave duality can be given a realist interpretation. The "Mie-de Broglie" interpretation suggests a correction of Hamilton's variational principle in the quantum domain. The equivalence of the masses can be seen as the classical "limit" of the quantum equivalence of the phases.
The Gravity Probe B (GP-B) experiment measured the geodetic precession due to parallel transport ... more The Gravity Probe B (GP-B) experiment measured the geodetic precession due to parallel transport in a curved space-time metric, as predicted by de Sitter, Fokker and Schiff. Schiff included the Thomas precession in his treatment and argued that it should be zero in a free fall orbit. We review the existing interpretations regarding the relation between the Thomas precession and the geodetic precession for a gyroscope in a free fall orbit. Schiff and Parker had contradictory views on the status of the Thomas precession in a free fall orbit, a contradiction that continues to exist in the literature. In the second part of this paper we derive the geodetic precession as a global Thomas Precession by use of the Equivalent Principle and some elements of hyperbolic geometry, a derivation that allows the treatment of GP-B physics in between SR and GR courses.
I begin with a short historical analysis of the problem of the electron from Lorentz to Dirac. It... more I begin with a short historical analysis of the problem of the electron from Lorentz to Dirac. It is my opinion that this problem has been quasi frozen in time because it has always been formulated within the paradigm of the Minkowski-Laue consensus, the relativistic version of the Maxwell-Lorentz theory. By taking spin away from particles and putting it in the metric, thus following Dirac's vision, I start my attempt to formulate an alternative math-phys language. In the created non-commutative math-phys environment, biquaternion and Clifford algebra related, I formulate an alternative for the Minkowski-Laue consensus. This math-phys environment allows me to formulate a generalization of the Dirac current into a Dirac probability/field tensor with connected closed system condition. This closed system condition includes the Dirac current continuity equation as its time-like part. A generalized Klein Gordon equation that includes this Dirac current probability tensor is formulated and analyzed. The Standard Model's Dirac current based Lagrangians are generalized using this Dirac probability/field tensor. The Lorentz invariance or covariance of the generalized equations and Lagrangians is proven. It is indicated that the Dirac probability/field tensor and its closed system condition closes the gap with General Relativity quite a bit.