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GENERAL-RELATIVITY AS AN EFFECTIVE-FIELD THEORY - THE LEADING QUANTUM CORRECTIONS
Effective gravity quantum field theory natural separation low energy quantum effects high energy massless particles
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2014/12/23
I describe the treatment of gravity as a quantum effective field theory. This allows a natural separation of the (known) low energy quantum effects from the (unknown) high energy contributions. Within...
Power counting of loop diagrams in general relativity
Cyclic graph the general theory of relativity energy expansion quantum effects physical power calculation
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2014/12/23
A class of loop diagrams in general relativity appears to have a behavior which would upset the utility of the energy expansion for quantum effects. We show through the study of specific diagrams that...
The Quantum Theory of General Relativity at Low Energies
Quantum field theory low energy quantum the interaction energy general relativity low energy
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2014/12/23
In quantum field theory there is now a well developed technique, effective field theory, which allows one to obtain low energy quantum predictions in “non-renormalizable” theories, using only the degr...
Comment on "Trouble with the Lorentz law of force: Incompatibility with special relativity and momentum conservation"
the Lorentz law of force Incompatibility special relativity momentum conservation Optics
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2012/5/29
It has been recently argued [arXiv:1205.0096] that the Lorentz force is incompatible with Special Relativity and should be amended in the presence of magnetization and polarization in order to avoid a...
Does Lorentz Force Law Contradict the Principle and Theories of Relativity for Uniform Linear Motion?
Lorentz Force Law Principle and Theories of Relativity Uniform Linear Motion Classical Physics
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2012/5/29
I show that no force or torque is generated in cases involving a charge and a magnet with their relative velocity zero, in any inertial frame of reference. A recent suspicion of an anomalous torque an...
Trouble with the Lorentz law of force: Incompatibility with special relativity and momentum conservation
the Lorentz law of force Incompatibility special relativity momentum conservation Optics
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2012/5/17
The Lorentz law of force is the fifth pillar of classical electrodynamics, the other four being Maxwell's macroscopic equations. The Lorentz law is the universal expression of the force exerted by ele...
Quantum Mechanics versus Special Relativity: A forgotten conflict
quantum mechanics special relativity quantum collapse quantum entanglement space-time causation separability locality non-locality asymptotic independence
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2011/9/6
Despite the widespread assumptions on the compatibility between non-relativistic quantum mechanics and special relativity, there still remains a considerable amount of unresolved problems to which few...
On the Lorentzian route to Relativity
neo-Lorentzian interpretation relativity simultaneity didactic teaching education Kennedy Thorndike Trouton Noble experiment
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2011/8/11
Abstract: We discuss pedagogical problems associated with the conventional approach in teaching relativity and the potential value of "Lorentzian route to relativity" for addressing these pedagogical ...
de Broglie waves as the "Bridge of Becoming" between quantum theory and relativity
de Broglie waves quantum theory and relativity quantum level
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2011/8/16
Abstract: It is hypothesized that de Broglie's 'matter waves' provide a dynamical basis for Minkowski spacetime in an antisubstantivalist or relational account. The relativity of simultaneity is seen ...
The non-autonomous chiral model and the Ernst equation of General Relativity in the bidifferential calculus framework
The non-autonomous chiral model he Ernst equation the bidifferential calculus framework
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2011/7/28
Abstract: We generate exact solutions of the non-autonomous chiral model, which in particular arises in General Relativity, using a general result of the bidifferential calculus approach to integrable...
Canonical Formulation of Spin in General Relativity
Dissertation canonical formalism spin post-Newtonian approximation binary stars
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2011/7/28
Abstract: The present thesis aims at an extension of the canonical formalism of Arnowitt, Deser, and Misner from self-gravitating point-masses to objects with spin. This would allow interesting applic...
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime
Special Relativity Geometric algebra Clifford algebra Lorentz transformation
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2011/7/28
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime.
Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime
Special Relativity, Geometric algebra, Clifford algebra, Lorentz transformation,Minkowski
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2011/9/2
Minkowski famously introduced the concept of a space-time continuum in 1908, merging three dimensional space with an imaginary time dimension represented by ict, a framework which naturally produced t...
Einstein's `Zürich Notebook' and his Journey to General Relativity
the gravitational field equations Einstein’s Z¨urich Notebook
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2011/8/29
On the basis of his ‘Z¨urich Notebook’ I shall describe a particularly fruitful phase in Einstein’s struggle on the way to general relativity. These
research notes are an extremely illuminating sourc...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
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2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...