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Planck Mass Plasma Vacuum Conjecture
Planck Mass Plasma Vacuum Conjecture

... made for the sign of the Planck force is the only one which keeps the Planck mass plasma stable. While Newton’s actio=reactio remains valid for the interaction of equal Planck mass particles, it is violated for the interaction of a positive with a negative Planck mass particle, even though globally ...
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... at each dynamics step based on the current positions of the QM-MM link pair. Once the link atom position is known, it can be employed in the quantum part of the energy evaluation. The link atom is treated in exactly the same was as the real QM atoms. It shares the same nonbond list as the other QM a ...
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... classical world, given the state of a system and the forces acting upon it we can predict with certainty its future state. For example, if one throws a ball up into the air with a certain amount of force, one can predict how long it will take to fall back to Earth. In this view of the world things a ...
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On the Classical and Quantum Momentum Map

... Chapter 2 starts by recalling some elements from Poisson geometry. In particular, we focus on Poisson Lie groups and Lie bialgebras and we discuss some properties of Poisson manifolds. Within this framework, we introduce the Poisson action and the momentum map, and, as a warm up, we see the way they ...
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... and physiologically, a fourth state of consciousness, different from dreaming, sleep, or the various varieties of the waking state. Therefore its verbal description must be expected to be novel and unfamiliar. The technique itself, however, is simple to learn when taught by personal instruction; it ...
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... Date of defense: April 2011 ...
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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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