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The mechanical world view of the nineteenth century revisited

By Karlsen, Bjørn, Ursin

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Book Id: WPLBN0100302521
Format Type: PDF (eBook)
File Size: 971.93 KB.
Reproduction Date: 9/6/2020

Title: The mechanical world view of the nineteenth century revisited  
Author: Karlsen, Bjørn, Ursin
Language: English
Subject: Non Fiction, Science
Collections: Science, Authors Community
Publication Date:
Publisher: Self publish: B.U.Karlsen, Hasvik, Norway
Member Page: Bjørn Ursin Karlsen


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Karlsen, B. U. (2020). The mechanical world view of the nineteenth century revisited. Retrieved from

This is a test of how far a nineteenth-century modified mechanical worldview can be adapted to modern science. The model is based on the assumption that space is an elastic continuum of an infinite extent that obtains inertia from being compressed, and the matter is nothing but confined wave energy.

Initially, there is virtually no compression, and wave speeds approach infinite. Small ripples initiate a process that tends to gather energy and eventually causes wave energy to accumulate into a strong spherical wave against a singularity. Because of irregularities, the imploding shock wave dissolves into myriads of singularities where all matter is created, while the remaining energy compresses an area of space into a closed area, the Universe. Basic deformation formulas in the spatial continuum are shown to match electromagnetic formulas in a four-dimensional manifold. The matter is nothing but quanta of wave energy that repeatedly converges into singularities from which they are reflected and form a conserved pattern of standing waves. The quanta of energy times the time between convergences is equal to Planck's constant. Differences in wave patterns comprise the multitude of elementary particles and photons, and interactions between them can be described by Schrödinger's wave equation. Electric charges are represented by sinks and sources, and virtual photons carrying with them 'holes' or 'chunks' of spatial mass are serving as loopholes between them. Confined energy in expanding space creates a density gradient with variable wave speed that accounts for gravity. By relating the stress-energy tensors for solenoidal and irrotational deformations to each other, it is shown how Einstein's gravitational equation can be developed from basic elastodynamics.

Thomson (Lord Kelvin) attributed as early as 1847 linear character to electric force and current and a rotatory character to magnetism. ... he showed that in his model a linear current could be represented by a circular, or endless cord if a tangential force were applied to the cord all around the circuit. Among other things he wrote: “The force thus applied tangentially all round an endless line of the jelly produces a tangential drag on the jelly all around and causes displacement and distortion ... equal to half the magnetic force.”

Table of Contents
1 Preface 2 Mechanics in the Spatial Continuum 2.1 The equation of motion 2.1.1 System of forces 2.1.2 The stress-strain relation 2.1.3 The spatial continuum 2.1.4 Navier’s equation of motion 2.1.5 Wave movements 2.1.6 Field energy in the spatial continuum 2.1.7 Energy transport 2.2 Sinks and sources 2.2.1 Sink density 2.2.2 Moving sinks 2.3 Stress-energy tensors 2.3.1 Solenoidal stress-energy tensor 2.3.2 Irrotational stress-energy tensor 3 Electrodynamics vs Elastodynamics 3.1 Maxwell’s equations 3.1.1 From elastodynamics to Maxwell’s equations 3.1.2 The electromagnetic stress-energy tensor 3.1.3 Electromagnetic momentum 3.2 The vector potential 3.2.1 Basic properties 3.2.2 Frame independent electrodynamic equations 3.3 Lorentz transformations 4 Cosmos 4.1 The spatial continuum 4.1.1 Accumulation of energy 4.1.2 The Universe 4.1.3 The quantum of action 5 Matter 5.1 Matter as confined wave energy 5.1.1 Newtons formulation of motion 5.1.2 Spherical waves in the spatial continuum 5.1.3 Standing waves in a closed environment 5.1.4 Irrotational standing waves in a box 5.1.5 Relation between energy and frequency 5.1.6 Solenoidal standing waves in a box 5.1.7 Strings of oscillating nodes 5.1.8 High and low-pressure nodes 5.1.9 Twisted nodes 5.2 Particles and binding forces 5.2.1 The photon 5.2.2 Virtual photons and the electric field 5.2.3 The electron and positron 5.2.4 Gluons 5.2.5 Quarks and nucleons 5.2.6 Protons and neutrons 5.3 Relevance to quantum mechanics 5.3.1 Heisenberg’s uncertainty principle 5.3.2 De Broglie’s matter-wave 5.3.3 The material body as a wave function 5.3.4 Schrödingers wave equation 6 Gravitation 6.1 The expanding space 6.1.1 Variable speed of light 6.1.2 Pressure from matter 6.2 Newtonian gravitation 6.2.1 The gravitational potential 6.2.2 Newton’s gravitational law 6.3 Estimating some fundamental constants 7 The Principle of Relativity 7.1 Special relativity 7.1.1 Measuring devices 7.1.2 Time dilation 7.1.3 Length contraction


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