Classical Physics


An Analytical Form of the Boscovich Curve with Applications

Authors: Augustus Prince

Using an analysis from a physical and phenomenological viewpoint employing the renowned and recognized continuity of Boscovich’s force curve, a new paradigm is formulated to explicate various physical phenomena in both the microworld and the macro-world. Within this paradigm, an algorithm is established which produced a functional representation of the atomic spectra of hydrogen and a temperature dependent blackbody energy distribution of radiation which compares very favorably with the experimental data. Further representations afford suggestions for the predictions of the specific heat of solids, photoelectric effect, etc. The Boscovichian points are assumed to move under the action of a force (acceleration) that varies inversely proportional to the cube of the radius from the point center, which leads to an orbit described by an equiangular (logarithmic) spiral. This spiral is subsequently used to simulate the concepts used in phyllotaxis (a constituent of plant morphology) and the gnomonic growth of mollusk shells (e.g. nautilus). The intercepts for the stable and unstable points on the Boscovich curve, which are the roots of the equation used, are calculated via the application of Fibonacci-type sequence of integers. In addition, utilizing the shape of Boscovich's "extended" curve of force (acceleration), the prospect of interpreting the mysterious attractive force beyond the visible Newtonian region of space (e.g. black holes, dark energy, etc.) is proposed. It is hoped that this phenomenological approach will serve as a beginning for description of both the micro-universe and the macrouniverse.

Comments: 51 Pages. work of Augustus Prince submitted by Roger Anderton and Bill Ryan

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Submission history

[v1] 2018-01-09 16:08:24
[v2] 2018-01-10 08:31:30

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