10,360 research outputs found
A Few Implications of the Laws of Transactions, from the Abstraction Theory
No full textConsidering transport of light through space-time, following the laws of physical transactions, it may be said that there must be a spreading effect on it. Over suitable distances from a source of light, an observer's perception is bound to be affected due to this spreading. In the following paper, these effects on the reception of a signal, due to the spreading of light are studied. Experimental set-ups are desired to verify the actual angles of spread with their theoretical values. An experiment regarding the minimum distance between two disturbances for them to be distinguishable is also carried out. The energy quantum is also studied in a new light
Abstraction and the Standard Model
No full textWe 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
Abstraction of Observables
No full textMaking use of the laws of physical transactions, we study symmetrical many-points systems. Relation of group-theory to physical transactions in such symmetrical systems is dealt with. Studying perturbations in the stability states in the attractor-maps for transactions, approximate values of the observables are to be predicted for such systems. Further, Abstraction Theory is typified with respect to studying the properties of irreducible representations, if any, inside a given such group
Hamiltonian Dynamics in the Theory of Abstraction
No full textThis 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
Condensation States and Landscaping with the Theory of Abstraction
No full textThe 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
Analysis of the Theory of Abstraction
No full textIn this paper,a few more implications of the laws of physical transactions as per the Theory of Abstraction are dealt with.Analysis of these implications suggests the existence of `hidden` mass and `hidden` energy in a given physical transaction.Trajectory -examination of such possible transport is carried out. Relativistic cyclist phenomena are also dealt with in this paper
Economic Parameters of an Ideal Society
No full textThe issues regarding the functioning and growth of an ideal economic society is the subject of investigation here. One basic guideline for such a society is that it must have total control over its economics and that money cannot drive such a society from pillar to post. The equal right of every individual over the basic amenities to live and grow and equal right of every individual over the resources, ensuring no misuse of the society's resources may be taken care of by controlling the market through a control-parameter, decided upon by the society
Relation Between Harappan And Brahmi Scripts
No full textAround 45 odd signs out of the total number of Harappan signs found make up almost 100 percent of the inscriptions, in some form or other, as said earlier. Out of these 45 signs, around 40 are readily distinguishable. These form an almost exclusive and unique set. The primary signs are seen to have many variants, as in Brahmi. Many of these provide us with quite a vivid picture of their evolution, depending upon the factors of time, place and usefulness. Even minor adjustments in such signs, depending upon these factors, are noteworthy. Many of the signs in this list are the same as or are very similar to the corresponding Brahmi signs. These are similarities that simply cannot arise from mere chance. It is also to be noted that the most frequently used signs in the Brahmi look so similar to the most frequent Harappan symbols. The Harappan script transformed naturally into the Brahmi, depending upon the factors channelizing evolution of scripts
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
No full textWe prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of Devyver, Fraas, and Pinchover (2014), namely the associated inequality cannot be further improved. Such inequalities arise from more general, optimal ones valid for the operator where and is the bottom of the L^2 spectrum of the laplacian, a problem that had been studied in Berchio, Ganguly, and Grillo (2017) only for . A different, critical and new inequality on the hyperbolic space, locally of Hardy type is also shown. Such results have in fact greater generality since they are proved on general Cartan-Hadamard manifolds under curvature assumptions, possibly depending on the point. Existence/nonexistence of extremals for the related Hardy-Poincaré inequalities are also proved using concentration-compactness technique and a Liouville comparison theorem. As applications of our inequalities, we obtain an improved Rellich inequality and we derive a quantitative version of Heisenberg-Pauli-Weyl uncertainty principle for the operator
An optimal improvement for the Hardy inequality on the hyperbolic space and related manifolds
No full textWe prove optimal improvements of the Hardy inequality on the hyperbolic space. Here, optimal means that the resulting operator is critical in the sense of Devyver, Fraas, and Pinchover (2014), namely the associated inequality cannot be further improved. Such inequalities arise from more general, optimal ones valid for Laplacian shifted by a constant , a problem that had been studied in Berchio, Ganguly, and Grillo (2017) only when is the bottom of the spactrum of the Laplacian. A different, critical and new inequality on the hyperbolic space, locally of Hardy type, is also shown. Such results have in fact greater generality since they are proved on general Cartan-Hadamard manifolds under curvature assumptions, possibly depending on the point. Existence/nonexistence of extremals for the related Hardy-Poincaré inequalities are also proved using concentration-compactness technique and a Liouville comparison theorem. As applications of our inequalities, we obtain an improved Rellich inequality and we derive a quantitative version of Heisenberg-Pauli-Weyl uncertainty principle for the shifted Laplacian
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