arXiv subjects

B. G. Sidharth

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

At least 127 records · Page 7Linked to original sources

arXiv1999

The Universe of Chaos and Quanta

In recent papers it was shown that stochastic processes in the universe as a whole lead to discrete space time at Compton scales as also non-relativistic Quantum Mechanics. In this paper, we deduce the Dirac equation and thence a unified formulation of quarks and leptons. In the process several puzzling empirical results and coincidences are shown to be a consequence of the theory. These include the discreteness of the charge, handedness of quarks, their fractional charge, confinement and masses and the handedness of neutrinos, the so called accidental relation that the classical Kerr- Newman metric describes, the field of an electron including the purely quantum mechanical gyromagnetic ratio g=2, as also the many large number coincidences made famous by Dirac and Weinberg's mysterious empirical formula that relates the pion mass to the Hubble Constant. A cosmology based on fluctuations related to the above stochastic space-time discretization, consistent with latest observations is also seen to follow.

quant-ph↗

arXiv1999

Universe of Fluctuations II

We throw further light on a recently discussed Kerr-Newman type formulation of Fermions and the related cosmological scheme which predicted an ever expanding universe, as indeed has subsequently been confirmed. In the spirit of the correspondence principle, it is shown how the quark picture emerges at the Compton wavelength and the Big Bang scenario at the Planck length. At the same time we obtain a theoretical justification for the peculiar characteristics of the quarks namely their fractional charge, handedness and confinement, as also the order of magnitude of their masses, all of which were hitherto adhoc features.

quant-ph↗

arXiv1998

Instantaneous Action at a Distance in a Holistic Universe

The early work of Lorentz, Abraham and others, evolved through the work of Fokker, Dirac and others to ultimately culminate in the Feynman- Wheeler direct action at a distance theory. However this theory has encountered certain conceptual difficulties like non-locality in time, self force of the electron, pre acceleration and the perfect absorption condition of Feynman and Wheeler, that is the instantaneous action of the remaining charges in the universe on the charge in question. More recently, Hoyle and Narlikar have resurrected this theory, but within the context of a Steady State or Quasi Steady State cosmology. They argue that the theory infact has a better standing than the generally accepted quantum theoretic description. In this article we consider a quantum theoretic description and a cosmology which parallels the Hoyle-Narlikar approach. This leads to a synthesis and justification of the Dirac and Feynman-Wheeler approaches, clarifying the conceptual problems in the process. We deduce a scenario with quantized space-time and a holistic cosmology, consistent with physical and astrophysical data. The non-locality is now seen to be meaningful within the minimum space-time intervals, as also the perfect absorption within the holistic description. Local realism, and the usual causal field theory are seen to have an underpinning of direct action. For example this is brought out by the virtual photons which mediate interactions in Quantum Electro Dynamics, and the emergence of the inverse square law in the above approach from a background Zero Point Field.

gr-qc↗

arXiv1998

The Symmetry Underlying Spin and the Dirac Equation:FOOTPRINTS of Quantized Space-Time

It is shown, in the context of a recent formulation of elementary particles in terms of, what may be called, a Quantum Mechanical Kerr-Newman metric, that spin is a consequence of a space-time cut off at the Compton wavelength and Compton time scale. On this basis, we deduce the Dirac equation from a simple coordinate transformation. Time irreversibility is seen to follow providing a rationale for the Kaon puzzle. So also, the handedness of the neutrino can be explained.

quant-ph↗

arXiv1998

Quantized Space-Time and Time's Arrow

Motivated by the latest direct detection of time assymetry in Kaon decay at CERN and Fermilab, we suggest a theoretical rationale for this puzzle, in terms of quantized time.

quant-ph↗

arXiv1998

Quantum, Chaos and the Universe

In this paper we suggest a formulation that would bear out the spirit of Prigogine's "Order Out of Chaos" and Wheeler's "Law Without Law". In it a typical elementary particle length, namely the pion Compton wavelength arises from the random motion of the N particles in the universe of dimension R. It is then argued in the light of recent work that this is the origin of the laws of physics and leads to a cosmology consistent with observation.

quant-ph↗

arXiv1998

The Symmetry Underlying Spin and the Dirac Equation

quant-ph↗

arXiv1998

Neutrino Mass and an Ever Expanding Universe (an Irreverent Perspective)

There have been two significant recent findings. One is a culmination of the Superkamiokande experiments, which demonstrate Neutrino oscillation and therefore a non-zero mass. The other is the finding that the universe will continue to expand without declaration based on distant supernovae observations. At the very least these two findings call for a review of the existing and generally accepted theories. In this talk it is pointed out how such a Neutrino Mass can in fact be deduced from a theoretical model, as also the eternal expansion feature of the universe, and how both these findings do not contradict each other.

hep-ph↗

arXiv1998

Stochastic Conservation Laws?

We examine conservation laws, typically the conservation of linear momentum, in the light of a recent successful formulation of fermions as Kerr-Newman type Black Holes, which are created fluctuationally from a background Zero Point Field. We conclude that these conservation laws are to be taken in the spirit of thermodynamic laws.

quant-ph↗

arXiv1998

Planck Scale to Hubble Scale

Within the context of the usual semi classical investigation of Planck scale Schwarzchild Black Holes, as in Quantum Gravity, and later attempts at a full Quantum Mechanical description in terms of a Kerr-Newman metric including the spinorial behaviour, we attempt to present a formulation that extends from the Planck scale to the Hubble scale. In the process the so called large number coincidences as also the hitherto inexplicable relations between the pion mass and the Hubble Constant, pointed out by Weinberg, turn out to be natural consequences in a consistent description.

quant-ph↗

arXiv1998

Low Dimensional Electrons

Motivated by recent work on nano tubes indicating one dimensional quantum effects and studies of two dimensional electron gas, we consider a recent model of Fermions as Kerr-Newman type black holes with quantum mechanical effects. Such an anyonic fractionally charged quasi-electron picture is deduced and identified with quarks.

quant-ph↗

arXiv1998

A note on the paper, "Quarks or Leptons?"

In the context of a recent description of Fermions as Kerr-Newman type black holes with Quantum Mechanical inputs, it is shown how the quark picture can be recovered. The advantage is that in the process we obtain a rationale for such features as the puzzling fractional charges of the quarks, their masses, confinement and handedness in a unified scheme.

quant-ph↗

arXiv1998

The Universe of Fluctuations

We discuss the recent model of a Quantum Mechanical Black Hole (QMBH) which describes the most fundamental known particles, the leptons and approximately the quarks in terms of the Kerr-Newman Black Hole with a naked singularity shielded by Zitterbewegung effects. This goes beyond the Zitterbewegung and self interaction models of Barut and Bracken, Hestenes, Chacko and others and provides a unified picture which amongst other things gives a rationale for and an insight into: 1. The apparently inexplicable reason why complex space-time transformations lead to the Kerr-Newman metric in General Relativity. 2. The value of the fine structure constant. 3. The ratio between electromagnetic and gravitational interaction strengths. 4. The anomalous gyromagnetic ratio for the electron. 5. Why the neutrino is left-handed. 6. Why the charge is discrete. In the spirit of Effective Field Theories, this model provides an alternative formalism for Quantum Theory and also for its combination with General Relativity. Finally a mechanism for the formation of these QMBH or particles is explored within the framework of Stochastic Electrodynamics, QED and Quantum Statistical Mechanics. The cosmological implications are then examined. It turns out that a surprisingly large number of facts, including some which were hitherto inexplicable, follow as a consequence of the model. These include a theoretical deduction of the Mass, Radius and Age of the Universe, also the values of Hubble's constant and the Cosmological constant.

quant-ph↗

arXiv1998

Quantum Mechanical Black Holes: Towards a Unification of Quantum Mechanics and General Relativity

In this paper, starting from vortices we are finally lead to a treatment of Fermions as Kerr-Newman type Black Holes wherein we identify the horizon at the particle's Compton wavelength periphery. A naked singularity is avoided and the singular processes inside the horizon of the Black Hole are identified with Quantum Mechanical effects within the Compton wavelength. Inertial mass, gravitation, electromagnetism and even QCD type interactions emerge from such a description including relative strengths and also other features like the anomalous gyromagnetic ratio, the discreteness of the charge, the reason why the electron's field emerges from Newman's complex transformation in General Relativity, a rationale for the left handedness of neutrinos and the matter-antimatter imbalance. This model describes the most fundamental stable Fermions viz., the electrons, neutrinos and approximately the quarks. It also harmoniously unifies the hydrodynamical, monopole and classical relativistic perspectives.

quant-ph↗

arXiv1998

A note on the paper, "The Universe of Fluctuations"

We examine how the consequences which follow from a recent model, both in cosmology and at the elementary particle level have since been observationally and experimentally confirmed. Some of the considerations of the model are also justified from alternative viewpoints. It is also shown how the standard Big Bang and quark models can be recovered from the above theory.

hep-th↗

arXiv1998

A Note on the Mass of the Neutrino

In the light of the recent Super-Kamiokande experiments which demonstrate neutrino oscillation, and therefore a non zero mass, it is pointed out how such a mass has also been deduced theoretically.

hep-th↗

arXiv1998

Space Time Quantization and the Big Bang

A recent cosmological model is recapitulated which deduces the correct mass, radius and age of the universe as also the Hubble constant and other well known apparently coincidental relations. It also predicts an ever expanding accelerating universe as is confirmed by latest supernovae observations. Finally the Big Bang model is recovered as a suitable limiting case.

gr-qc↗

arXiv1998

Cosmic Background Radiation Due to Photon Condensation

It is shown that a collection of photons with nearly the same frequency exhibits a Bose "condensation" type of phenomenon at about 3 degrees K corresponding to a peak intensity at a wave length of about 0.4cm. This could give a mechanism for the observed Cosmic Background Radiation, and also explain some curious features.

astro-ph↗