Bose-Einstein statistics may be characterized in terms of multinomial distribution. From this characterization, an information theoretic analysis is made for Einstein-Podolsky-Rosen like situation; using Shannon’s measure of entropy.
In our recent book (Abraham and Roy 2010) we have repurposed a mathematical model for the quantum vacuum as a model of consciousness. In this model, discrete space and time are derived from a discrete cellular dynamical network. As our model is essentially atomistic, we included in our book a short support chapter on atomism. In this aticle we expand on the few pages of that chapter devoted to the history of atomism, to place the current revival of atomism in (...) a larger context. (shrink)
The authors undertake a thought experiment the purpose of which is to explore possibilities for understanding moral principles in analogy with cosmic order. The experiment is based on three proposals, which are described in detail: an ontological, a neurological, and a moral proposal. The ontological proposal accepts from the phenomena of quantum physics that there is a nonempirical domain of physical reality that consists not of material things but of what is philosophically conceptualized as a realm of nonmaterial forms. This (...) realm of forms is the realm of potentiality in physical reality that quantum physics posits as an indivisible Wholeness—the One. It is the ultimate reality because everything empirical is the actualization of its forms. The neurological proposal is the hypothesis that the brain is sensitive to the potentiality waves in the cosmic field, as ordinary measuring instruments in physics are sensitive to potentiality waves at the quantum level, so that the cosmic field can communicate with the human brain. The third proposal assumes that the communication with the cosmic field can translate into moral ideas and actions. Even though the three proposals underlying the thought experiment are highly speculative, they lead to definite implications that make sense in their own right and can be applied in a useful way. From the order of reality some simple rules of conduct follow that are identical with traditional moral rules but have the character of rules of well-ness, leading to new aspects of Aristotle's concept of eudaimonia and Kant's concept of the highest good. In analogy with the structure of physical reality, where all empirical phenomena are actualizations of nonempirical forms, it is suggested that the structure of morality, too, is that of a tacit, nonempirical form that actualizes in explicit principles and moral acts through our consciousness. The tacit form is thought to exist in the realm of cosmic potentiality, together with all the other forms that the empirical world actualizes. It can appear spontaneously in our consciousness when needed, offering its guidance to our judgment and free will. Because it does not appear in the form of commandments accompanied by threats, the actions of the tacit moral form define a higher level of morality, similar to that offered by some aspects of the Christian teaching, where one acts not out of fear but on the desire to do things right. (shrink)
A class of states obtained by extremizing the energy of a system under certain conditions is introduced and their properties are compared with those of the coherent states. Conditions under which these states move without change of shape and follow the classical path are investigated.
Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.
We develop a timeout extension of propositional linear temporal logic to specify timing properties of timeout-based models of real-time systems. A timeout is used to model the execution of an action marking the end of a delay. With a view to expressing such timeout constraints, ToLTL uses a dynamic variable to abstract the timeout behaviour in addition to a variable which captures the global clock and some static timing variables which record time instances when discrete events occur. We propose a (...) corresponding timeout tableau for satisfiability checking of the ToLTL formulas. Further we prove that the validity checking for such an extended logic remains PSPACE-complete. Under discrete time semantics, with bounded timeout increments, the model-checking problem which verifies if a ToLTL-formula holds in a timeout Kripke structure is also shown to be PSPACE complete. We further prove that ToLTL, when interpreted over discrete time, can be embedded in the monadic second-order logic with.. (shrink)
The economic growth in India is quite visible through infrastructural and industrial growth in metros but the same is overshadowed by the poor plight of beggars in these cities. This article addresses the living conditions of the beggars and their awareness about the various government policies. The study gives an insight into the economic status of beggars and answers why people go for begging. The solution calls for a comprehensive programme and reorientation of the existing programmes. We often read and (...) hear of aids that are directed towards the upliftment of the beggars; and the article aims to check if these aids have in any way improved their plight. Many NGOs, non-profit private organizations and corporations are helping disadvantaged populace from various segments. But this segment has not received the requisite assistance and attention and this article examines the responsibility of corporations in this concern. (shrink)
It is demonstrated that in quantized general relativity one is led to Jordan-Fock type uncertainty relations implying the occurrence of cut-off lengths. We argue that these lengths (i) represent limitations on the measurability of quantum effects of general relativity and (ii) provide a cut-off length of quantum divergences.
The present paper attempts to highlight the strategy of regional specialisation for technological innovation in R&D laboratories. The paper makes a proposition that regional specialisation should be recognised as a strategic initiative for technology development in R&D laboratories. The rationale for this strategic initiative has been substantiated with the help of illustrations from the cases of technology development efforts taken up in different laboratories in the country under the Council of Scientific and Industrial Research (CSIR), India. In this direction, CSIR (...) and other centres of excellence have played a pioneering role in the development of various industrial clusters and artisan concentrations in different parts of the country. The implications of adoption or otherwise of this strategy initiative for technological innovation in R&D laboratories have been discussed. (shrink)
Suave, mari magno turbantibus aequora ventis e terra magnum alterius spectare laborem; non quia vexari quemquamst iucunda voluptas, sed quibus ipse malis careas quia cernere suave est. suave etiam belli certamina magna tueri 5 per campos instructa tua sine parte pericli. sed nil dulcius est, bene quam munita tenere edita doctrina sapientum templa serena, despicere unde queas alios passimque videre errare atque viam palantis quaerere vitae, 10 certare ingenio, contendere nobilitate, noctes atque dies niti praestante labore ad summas emergere opes (...) rerumque potiri. o miseras hominum mentes, o pectora caeca! qualibus in tenebris vitae quantisque periclis 15 degitur hoc aevi quodcumquest! nonne videre nil aliud sibi naturam latrare, nisi utqui corpore seiunctus dolor absit, mensque fruatur iucundo sensu cura semota metuque? It is pleasant, when the winds stir up the waters on the great sea, to watch the great struggle of another from land; not because it is a great pleasure that anyone be troubled, but because it is pleasant to observe the troubles you yourself lack. It is also pleasant to watch the great contests of war 5 spread out over the plains without taking any part in the danger. But nothing is more pleasing than to hold lofty yet calm temples that are well defended by the teachings of wise men, from which you can look down and see others everywhere go astray and wander while seeking the path of their life, 10 competing in wits and contending over their nobility; throughout nights and days they strive with outstanding labour to come out at the peak of riches and have power over everything. O wretched minds of men, O blind hearts! In what shadows of life and in how many dangers 15 is this bit of life, whatever it may be, being spent by you! Do you not see that nature barks for nothing other than this – that grief be separated from the body and far away, and that the mind enjoy pleasant feelings cut off from anxiety and fear?Epicurus' advice to his young friend Pythocles to ‘flee all education, raising up the top sail’ contains an allusion to Circe's advice to Odysseus in Odyssey 12.37–58. For much of the Greek world, education was based on the Homeric epics, and thus Epicurus' statement represents a complicated position towards Homer in particular and poetry in general. Epicurean philosophy rejects poetry because it is misleading about the gods and the nature of the soul, but Epicurus and his followers, most notably Philodemus and Lucretius, engage in poetic allusion and even the composition of poetry. Much work has been done on allusions to poetry in all three writers, but I hope here to bring out a heretofore unnoticed poetic allusion at the start of De rerum natura Book 2, in which Lucretius makes a programmatic statement about not only his philosophy, but also his poetry and its place in the poetic tradition. (shrink)
fusion theory challenges efforts to see theory as inhibiting by presenting an approach that is innovative, eclectic, and subtle in order to draw out competing and constellating ideas and opinions. This collected volume of essays examines fusion theory and demonstrates how the theory can be applied to the reading of various works of Indian English novelists.
The Philosophy of Economics is the first work to seriously and successfully bridge twentieth-century economics and twentieth-century philosophy. Subroto Roy draws these two disciplines together and examines the basic intellectual roots of economics. This is also the first work by an economist to employ the writings of Wittgenstein and to tackle seriously the import of modern philosophy for economic thought. Unlike others in the field, Roy discusses not only the contributions of Popper, Kuhn, and Lakatos but also those of Frege, (...) Moore, and Wittgenstein, as well as Plato and Aristotle. (shrink)