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Network Mechanics: Einstein & Schrödinger: a discrete tale...of a connected universe

Network Mechanics: Einstein & Schrödinger: a discrete tale...of a connected universe

Mary Frank
0/5 ( ratings)
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Highlights: Derivation of the Schrödinger Equation, a constant speed of light, perception of three dimensions, and spatial curvature from basic principles. The relationship between religion and science is explored.

Among today’s great mysteries are the constancy of the speed of light, the existence of three spatial dimensions, the curvature of space, and the wave-particle duality of matter. Is there any structure we can conceive which encompasses these qualities? Where can special relativity, general relativity, quantum mechanics, and the symmetries of particles coexist? Is it silly to search? This text presents an innovative model for the universe which attempts to exhibit all of these characteristics. Others have proposed non-continuous models, however the Network Mechanics model introduced here has a novel structure. Continuous mathematics is not abandoned, but is rather seen to be an approximation of the actual underlying discrete reality. The model consists of discrete oscillators networked in a dynamic graph. Taking the foundations of thermodynamics as a basis, postulates of entropy, symmetry, and conservation are presented. Application of these postulates to the graphical environment begins to shed light upon several areas of physics.
The limit to speed of information transfer in this environment produces results consistent with special relativity. The use of continuous mathematics to approximate the discrete model results in behavior consistent with the Schrödinger equation, perception of three spatial dimensions with spatial curvature, and objects comparable to point particles. The final chapter provides suggestions for further enquiry.
This material should be accessible to students at an advanced high school level. Derivation of the Schrödinger equation from basic principles does involve college level mathematics but this should not detract from an understanding of the concepts offered.
Language
English
Format
Kindle Edition
Publisher
MaryPower
Release
April 04, 2015

Network Mechanics: Einstein & Schrödinger: a discrete tale...of a connected universe

Mary Frank
0/5 ( ratings)
Read Download
Highlights: Derivation of the Schrödinger Equation, a constant speed of light, perception of three dimensions, and spatial curvature from basic principles. The relationship between religion and science is explored.

Among today’s great mysteries are the constancy of the speed of light, the existence of three spatial dimensions, the curvature of space, and the wave-particle duality of matter. Is there any structure we can conceive which encompasses these qualities? Where can special relativity, general relativity, quantum mechanics, and the symmetries of particles coexist? Is it silly to search? This text presents an innovative model for the universe which attempts to exhibit all of these characteristics. Others have proposed non-continuous models, however the Network Mechanics model introduced here has a novel structure. Continuous mathematics is not abandoned, but is rather seen to be an approximation of the actual underlying discrete reality. The model consists of discrete oscillators networked in a dynamic graph. Taking the foundations of thermodynamics as a basis, postulates of entropy, symmetry, and conservation are presented. Application of these postulates to the graphical environment begins to shed light upon several areas of physics.
The limit to speed of information transfer in this environment produces results consistent with special relativity. The use of continuous mathematics to approximate the discrete model results in behavior consistent with the Schrödinger equation, perception of three spatial dimensions with spatial curvature, and objects comparable to point particles. The final chapter provides suggestions for further enquiry.
This material should be accessible to students at an advanced high school level. Derivation of the Schrödinger equation from basic principles does involve college level mathematics but this should not detract from an understanding of the concepts offered.
Language
English
Format
Kindle Edition
Publisher
MaryPower
Release
April 04, 2015

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