From Vedic Science to Vedanta

Vedanta has often been studied without relating it to the Vedic system of knowledge. The reason behind this situation is the fashionable but wrong view that Vedic thought is pre-scientific and at best it represents archaic modes of thought . But recent scholarship has shown that astronomy was one of the bases of the design of Vedic fire altars and an astronomical code has been discovered in the organization of the Rgveda. It is now being accepted that the Vedic people knew considerable astronomy that included the knowledge of planet periods. Knowledge of astronomy and the concomitant sciences provides the backdrop in which the development of the science of self can be understood. The Vedic system of knowledge is based on equivalences (bandhu-) between the cosmic, the terrestrial, and the physiological. This recursive system of knowledge was represented in terms of altar designs at one level and by the richly symbolic language of the Vedas, where there is a constant allusion to the equivalences, at another level

Moving Observers in an Isotropic Universe

We show how the anisotropy resulting from the motion of an observer in an isotropic universe may be determined by measurements. This provides a means to identify inertial frames, yielding a simple resolution to the twins paradox of relativity theory. We propose that isotropy is a requirement for a frame to be inertial; this makes it possible to relate motion to the large scale structure of the universe.Comment: 8 pages, 1 figure, with minor typographical correctio

Black Holes, Disk Structures, and Cosmological Implications in e-dimensional Space

We examine a modern view of the universe that builds on achieved successes of quantum mechanics, general relativity, and information theory, bringing them together in integrated approach that is founded on the realization that space itself is e-dimensional. The global and local implications of noninteger dimensionality are examined, and how it may have increased from the value of zero to its current value is investigated. We find surprising aspects that tie to structures in the universe, black holes, and the role of observations

Quantum Information and Entropy

Thermodynamic entropy is not an entirely satisfactory measure of information of a quantum state. This entropy for an unknown pure state is zero, although repeated measurements on copies of such a pure state do communicate information. In view of this, we propose a new measure for the informational entropy of a quantum state that includes information in the pure states and the thermodynamic entropy. The origin of information is explained in terms of an interplay between unitary and non-unitary evolution. Such complementarity is also at the basis of the so-called interaction-free measurement.Comment: 21 pages, 3 figure

Can We Define Levels Of Artificial Intelligence?

The paper argues for a graded approach to the study of artificial intelligence. In contrast to the Turing test approach, such an approach permits the measurement of incremental progress in AI research. Results on the conceptual abilities of pigeons are summarized. These abilities far exceed the generalization abilities of current AI programs. It is argued that matching the conceptual abilities of animals would require new approaches to AI. Defining graded levels of intelligence would permit the identification of resources needed for implementation

On Generalization By Neural Networks

We report new results on the corner classification approach to training feedforward neural networks. It is shown that a prescriptive learning procedure where the weights are simply read off based on the training data can provide adequate generalization. The paper also deals with the relations between the number of separable regions and the size of the training set for a binary data network. The use of prescriptive learning can be particularly valuable where one seeks to identify a single class