Abstraction and Structures in Energy

Subhajit Ganguly

Zero postulation and the principles of the Theory of Abstraction are used to study structures of energy inside a black hole, which is incredibly heavy and incredibly small. We chase the questions, how matter (with various structures) is formed from energy and the energy making up matter has to be in what orientation to form the matter that we see. We arrive at the fundamental model and the equations describing the formation of structure in energy.

Ganguly, Subhajit (2014): Abstraction and Structures in Energy. figshare.
http://dx.doi.org/10.6084/m9.figshare.1035785
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Abstraction and the Standard Model

Subhajit Ganguly

Description:

We study the Standard Model in light of the Zero-Postulation of the Theory of Abstraction. Yukawa Coupling, chiral superfields, the SUSY model, Interacting Boson Models (IBMs), Clebsch-Gordan coefficients, Interacting Boson-Fermion Model (IBFM), etc., are some of the concepts that we study in this paper. Non-commutative geometry seems to come very handy in describing the quantum world. Bosons and fermions both seem to be governed by the rules of such geometry. The principle of conservation of boson number inside a system is seen to follow directly from the Abstraction Model. The IBMs are seen to obey the Laws of Physical Transaction that follows from Zero-Postulation. The chaotic superfields at the requisite scaling-ratio yields necessary equation-parameters needed to describe them at that given scaling-ratio. This is seen to be independent of the choice of scale, but at smaller scaling-ratios, we have less loss of information. At a higher scale, we seem to have less number of parameters required to describe them.

Cite as:    Ganguly, Subhajit (2013): Abstraction and the Standard Model, figshare.

http://figshare.com/articles/Abstraction_and_the_Standard_Model/848625

Skyrme functional from a three-body pseudo-potential of second-order in gradients. Formalism for central terms

J. Sadoudi, T. Duguet, J. Meyer, M. Bender

Description:In one way or the other, all modern parametrizations of the nuclear energy density functional (EDF) do not respect the exchange symmetry associated with Pauli’s principle. It has been recently shown that this practice jeopardizes multi-reference (MR) EDF calculations by contaminating the energy with spurious self-interactions that, for example, lead to finite steps or even divergences when plotting it as a function of collective coordinates. As of today, the only viable option to bypass these pathologies is to rely on EDF kernels that enforce Pauli’s principle from the outset by strictly and exactly deriving from a genuine, i.e. density-independent, Hamilton operator.
We wish to develop the most general Skyrme-like EDF parametrization containing linear, bilinear and trilinear terms in the density matrices with up to two gradients, under the key constraint that it derives strictly from an effective Hamilton operator. The most general three-body Skyrme-like pseudo-potential containing up to two gradient operators is constructed to generate the trilinear part. The present study is limited to central terms. Spin-orbit and tensor will be addressed in a forthcoming paper.

Cite as:
arXiv:1310.0854 [nucl-th]
(or arXiv:1310.0854v1 [nucl-th] for this version)

Hamiltonian Dynamics in the Theory of Abstraction

Subhajit Ganguly

Description

This paper deals with fluid flow dynamics which may be Hamiltonian in nature and yet chaotic.Here we deal with sympletic invariance, canonical transformations and stability of such Hamiltonian flows. As a collection of points move along, it carries along and distorts its own neighbourhood. This in turn affects the stability of such flows.

Cite as:
Hamiltonian Dynamics in the Theory of Abstraction. Subhajit Ganguly. figshare.

http://dx.doi.org/10.6084/m9.figshare.91659

Read full version at : Paper

Condensation States and Landscaping with the Theory of Abstraction

Subhajit Ganguly

Description

The Abstraction theory is applied in landscaping. A collection of objects may be made to be vast or meager depending upon the scale of observations. This idea may be developed to unite the worlds of the great vastness of the universe and the minuteness of the sub-atomic realm. Keeping constant a scaling ratio for both worlds, these may actually be converted into two self-same representatives with respect to scaling. The Laws of Physical Transactions are made use of to study Bose-Einstein condensation. As the packing density of concerned constituents increase to a certain critical value, there may be evolution of energy from the system.

Cite as:

Condensation States and Landscaping with the Theory of Abstraction . Subhajit Ganguly. figshare.

http:/dx.doi.org/10.6084/m9.figshare/91658

Retrieved 00:00, Aug 07, 2013 (GMT)

Read full version at : Paper