arXiv subjects

J. G. Gilson

Publications and source records attributed to J. G. Gilson.

5 recordsLinked to original sources

arXiv2012

A Sketch for a Quantum Theory of Gravitity

The numerical quantum electronic structure for the energies of the states of the hydrogen like atoms as given by Sommerfeld in 1915-16 is studied and is shown to present a scheme that is able to express a unique observer point of view. The perspective of this observer is essentially how he, if fixed on a trapped electron, would see his and his electron's state of containment within the full atomic quantum state. This particular internal view of a quantum state is then shown to have strong analytic powers in the extremely different numerical scale of gravitation theory. This unexpected analogy becomes possible when it is recognised that a basic part of gravitation theory can be expressed in terms completely analogous to the quantum relativistic electromagnetic structure involved in Sommerfeld's formula for quantum state energy. The introduction section brings together the essentials for the understanding of the electromagnetic side of this analogy and contains a condensation of some earlier work. The second section, Gravitation Analogy, develops a theory for gravitation which closely follows the quantum form to give an exact analogy to the Sommerfeld quantum theory of hydrogen atomic states. Quantum Galactic Dynamics added October 2012

physics.gen-ph↗

arXiv2001

A Quantum Coupling Conjecture

Following the successful prediction of an exact value for the fine structure constant later confirmed to differ numerically from the centre value of the latest experimental recommended CODATA range by 10^{-12}, further analysis and predictions of exact values for two other quantum coupling constants, the strong and the electroweak, are given. The method employed to obtain these theoretical values depends on the conjecture that measured values of a fundamental set of quantum coupling constants approximate to exact values that can be found in a specific set C_Q of numerical values which has a countable number of elements. The letter C and its subscript Q stand for coupling and quantum respectively. A full definition of this set are given in the body of this paper. Questions of how this conjecture might be validated from the theoretical and measurement point of view and the identification of those elements of C_Q which have values of definite physical significance constitute the subject matter of this paper.

quant-ph↗

arXiv2001

Finite Renormalization ll

This paper is an updated version of the paper of similar title published in September 1998 {21} modified to take into account recent experimental results and recommendations from CODATA {19} and also to incorporate a correction. The original abstract follows and is still valid. A 1960's suggestion by R. P. Feynman, concerning the possibility of carrying out a "finite" renormalization procedure in quantum electrodynamics, is here implemented using a newly discovered "formula" for alpha, the fine structure constant.

quant-ph↗

arXiv2001

Stochastic Simulation of The Three Dimensional Quantum Vacuum

A complete solution to the long standing problem of basing Schroedinger quantum theory on standard stochastic theory is given. The solution covers all "single" particle three-dimensional Schroedinger theory linear or nonlinear and with any external potential present. The system is classical, set in a six-dimensional space and involves vacuum polarization as the background process. Basic vacuum polarization energy characterised oscillators are identified and then in assemblies are analysed in terms of energy occurrence frequencies. The orbits of polarization monopoles are given and shown to be elliptical on subspaces surfaces. The basic process takes place at the speed of light and is of a statistical "zitterbewegung" character. The orthodox quantum probability density bilinear quadratic form is derived from angular momentum consideration within the system which is shown to be a generalisation of the usual quantum structure. Two statistical assemblies are identified, a linear one associated with superposition of eigenfunctions and a quadratic one associated with interactions between eigenstates. It is suggested that this two-tier probabilistic system will remove some possible paradoxes that plague the orthodox thoory. The relation of vacuum polarization in this work with its occurrence in other physical contexts and a connection with "spin" is discussed.

quant-ph↗

arXiv2001

Alpha and Electro-weak Coupling

It is shown that the fine structure constant alpha has the same value that "characterises" a relation, denoted by alpha_137(29*137), between a representation of the cyclic group of order 29*137 and the induced representation for the cyclic subgroup of order 137. The value of this characteristic is alpha_137(29*137) = 0.007297352532... . The complementary characteristic alpha_29(29*137)=0.034280626357... for the cyclic subgroup of order 29 is shown to represent the gauge theory electro-weak coupling quantity g^2/(4 pi). Kinematic aspects of the representation geometry are discussed and a generalized version of the Weinberg electro-weak mixing angle is introduced.

quant-ph↗