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B. G. Sidharth

Publications and source records attributed to B. G. Sidharth.

132 records · Page 8Linked to original sources
arXiv1998

The Anomalous Behaviour of Fermions in a Thin Wire

Motivated by the recent development of insulated nano-tubes and the attempts to develop conducting nano wires in such tubes, we examine the Fermionic behaviour in extremely thin wires. Although the one- dimensional problem has been studied in detail over the years, it is an extreme idealization: We consider the more realistic scenario of thin wires which are nevertheless three dimensional. We show that the assembly of Fermions behaves as if it is below the Fermi temperature, and in the limit of one dimension, in the ground state as well. Thus there are indeed Bosonization features. These conclusions are checked from an independent stand point.

quant-ph↗
arXiv1998

Towards a Unified Description of the Fundamental Interactions

We consider a recent successful model of leptons as Kerr-Newman type Black Holes in a Quantum Mechanical context. The model leads to a cosmology which predicts an ever expanding accelerating universe with decreasing density and to the conclusion that at Compton wavelength scales, electrons would exhibit low dimensionality, both of which conclusions have been verified by several independent experiments and observations very recently. In this preliminary communication we indicate how the above model describes the quarks' fractional charges, handedness and masses (as any fundamental theory should) and could lead to a unified description of the four fundamental interactions.

quant-ph↗
arXiv1998

A New Approach to Locality and Causality

In the light of some recent results, it is argued that usual concepts of causality and locality are approximations valid at scales greater than the Compton wavelength and corresponding time scales. It follows that the "spooky" non-locality of Quantum Mechanics is not really so and infact is perfectly consistent with a recently discussed holistic model, which again is corroborated by latest astrophysical and cosmological observations. This approach also provides a rationale for the origin of the metric and points to, what may be called a space time quantization which may be, ultimately, fundamental.

quant-ph↗
arXiv1998

p-Adic physics below and above Planck scales

We present a rewiew and also new possible applications of $p$-adic numbers to pre-spacetime physics. It is shown that instead of the extension $R^n\to Q_p^n$, which is usually implied in $p$-adic quantum field theory, it is possible to build a model based on the $R^n\to Q_p$, where p=n+2 extension and get rid of loop divergences. It is also shown that the concept of mass naturally arises in $p$-adic models as inverse transition probability with a dimensional constant of proportionality.

gr-qc↗
arXiv1995

A NOTE ON DEGENERATE AND ANAMOLOUS BOSONS

In this note it is shown that for a mono-energetic collection of Bosons, at a certain (non-zero) momentum or temperature, there is condensation while there is another momentum or temperature at which there is infinite dilution and below which the gas exhibits anomalous Fermionic behaviour.

quant-ph↗