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Geometrical Dimensional Analysis: Map of Physics

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Author:John Aikman
Description: A text article and a tutorial, with references and links. Familiar equations and formulas of physics arranged into 3D structures create concept maps of the system of units and a potential for super-formulas: more powerful formats for use of existing mathematical statements. The International System of Units, (or SI) recognizes seven base quantities and a number of derived quantities for use in physics and science. The purpose of this presentation is to show that: Exponents of a physics term's M,L,T components can place it in a 3D units system map; Familiar formulas of physics correlate to the connecting lines, obeying the rules of vector addition; Equivalent to arranging equations into 3D logical lattices, the effects map many of the laws of physics; Insertion of numerical values as common logarithms makes each axis identical to a slide rule scale; The overall result can be called a 3D spreadsheet, a 3D slide rule, and a basis for meta-formulation.

Levels: High School (9-12), College
Languages: English
Resource Types: Link Listings, Articles, Bibliographies, Tutorials
Math Topics: Terms/Units of Measure, Higher-Dimensional Geometry, Physics

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