4,836 research outputs found
More on the quantum potential
A possible thermalization of Fisher information is suggested for certain
situations.Comment: 3 pages, Late
On some toy quantum cosmology
Some connections of the quantum potential to gravitation are discussed
Remarks on photons and the aether
We expand upon some topics reviewed and sketched in a book to appear with
more details, embellishments, and some new material of a speculative nature.Comment: 28 pages, Late
Remarks on Whitham and RG
We collect a number of facts and conjectures concerning Whitham theory and
the renormalization group. Some explicit relations and problems are indicated
in the context of N=2 susy Yang-Mills.Comment: Latex 37 pages. Some additional discussion, problems, and references
are adde
Fluctuations, gravity, and the quantum potential
We show how the quantum potential arises in various ways and trace its
connection to quantum fluctuations and Fisher information along with its
realization in terms of Weyl curvature. It is a quantization factor for certain
classical systems as well as an expression for quantum matter in gravity
theories of Weyl-Dirac type. We extract theories and examples from the
literature, providing connections and interpretations, and make a few new
observations.Comment: 50 pages, Late
Uncertainty, trajectories, and duality
We show explicitly how uncertainty can arise in a trajectory representation.
Then we show that the formal utilization of the WKB like hierarchy structure of
dKdV in the description of (X,psi) duality does not encounter norm constraints.Comment: Latex, 8 page
Remarks on the Schrodinger equation
Various origins of linear and nonlinear Schrodinger equations are discussed
in connection with diffusion, hydrodynamics, and fractal structure. The
treatment is mainly expository, emphasizing the quantum potential, with a few
new observations.Comment: 34 pages, Latex, references and comments adde
Gravity and the quantum potential
We review some material connecting gravity and the quantum potential and
provide a few new observations.Comment: Latex, 30 pages, Remark adde
Fisher, Kaehler, Weyl and the quantum potential
Connections between Fisher information, Kaehler geometry of a quantum
projective Hilbert space, and the Weyl-Ricci scalar curvature of a Riemannian
flat spacetime with quantum matter are sketched.Comment: 17 pages, Late
Prepotentials and Riemann surfaces
We organize and review some material from various sources about
prepotentials, Riemann surfaces and kernels, WDVV, and the renormalization
group, provide some further connections and information, and indicate some
directions and problems.Comment: Latex, 26 pages. Some typos are corrected and a number of
improvements are adde
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