Renormalisation and the density of prime pairs
Ideas from physics are used to show that the prime pairs have the density conjectured by Hardy and Littlewood. The proof involves dealing with infinities like in quantum field theory.
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arXiv subjects
G. H. Gadiyar
Publications and source records attributed to G. H. Gadiyar.
Unique Deformation of Local Quantum Field Theory Resulting in Divergence-free Amplitudes
An essentially unique deformation of the product of quantum fields at the same spacetime point is obtained. It is proposed to replace local quantum field theory with another structure which uses a *-product. The resulting theory contains a fundamental length and is free from divergences. This provides the third deformation suggested by Faddeev.
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The Weinberg - Faddeev solution to the problems of quantum field theory and quantum gravity:quantum spacetime
In this paper a fundamental length is introduced into physics. This is done in a way which respects special relativity and quantum field theory. The theory has formal similarity to quantum field theory though its properties are far better: divergences are got rid of. The problem of quantizing gravity is straightforward in the approach.
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Quantum Field Theory without Divergences: Quantum Spacetime
A fundamental length is introduced into physics in a way which respects the principles of relativity and quantum field theory. This improves the properties of quantum field theory: divergences are removed. How to quantize gravity is also indicated. When the fundamental length tends to zero the present version of quantum field theory is recovered.
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Quantum Optimal Control Theory
The possibility of control of phenomena at microscopic level compatible with quantum mechanics and quantum field theory is outlined. The theory could be used in nanotechnology.
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The Geometry of Electric Charge: The Charge Characteristic Class
It is well known that magnetic monopoles are related to the first Chern class. In this note electric charge is used to construct an analogous characteristic class: the charge class.
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