Relative Metrics and Physical Models for Non-Local Particles

Charles Francis

We describe a substructure for matter in which metric relations are not assumed as properties of a physical manifold, and instead the metric of general relativity is found in configurations of particle interactions. The 'state' of a particle is the set of possible configurations of surrounding particles. States are thus non-local, while particles are local. Kets are not states, or descriptions of states, but merely names for states. Ket space is a naming system constructed by an individual observer from the available information in such a way that the principle of superposition and the probability interpretation are definitional truisms, not physical laws. In this paper the treatment is developed as far as showing that the solution to the discrete equations describing the structure should be embedded into covariant continuous equations, and we remark that this leads to a requirement for four dimensions and spin in the organisation of a structure consisting solely of particle interactions, although neither dimensionality nor spin are assumed properties of particles.

Dipankar Home, Vito Luigi Lepore, F. Selleri

Alan M. Kadin

The elusive unity of microscopic and macroscopic physics may reflect a profound misunderstanding of the microscopic world. We start with a real, deterministic de Broglie wave, and show how this leads to the equations of both special and general relativity, providing a unified picture for physics at all scales. In this picture, transformations of ω and k are more fundamental than spacetime transformations of t and r. Local metrics compatible with general relativity may be derived, but are not necessary for calculations. Furthermore, coupling constants and h are invariant, while c, G, e, and particle rest masses are not. Such variations cannot be observed using local measurements, due to the principle of relativity.

Malcolm H. MacGregor

H. Pierre Noyes

Ignazio Francesco Licata

Preface Space-Time Geometry & Quantum Events The Transaction as a Quantum Concept Stochastic Foundation of Quantum Mechanics & the Origin of Particle Spin Fractal Space-Time as an Underlying Structure of the Standard Model Relativity of Scales, Fractal Space & Quantum Potentials Three Possible Implications of Space-Time Discreteness Quantum Computing Space-Time Metric Gauge Fields in Deformed Special Relativity Non-Local Granular Space-Time Foam as an Ultimate Arena at the Planck Scale Structural Approach to the Elementary Particle Theory Forming Physical Fields & Pseudometric & Metric Manifolds. Noncommutativity & Discrete Structures in Classical & Quantum Physics Index.