Mathematical Physics

    

Infinite Tree Branch Hypothesis

Authors: Bjørn Leon Søren Riedel

The Infinite Tree Branch Hypothesis explores the transformation of infinitely branching trees across dimensions. In 2D, infinite branches converge into a circle, while in 3D and 4D, they form a sphere and hypersphere, respectively, with growth dictated by dimensional scaling. Using a what I think is novel Tree(n-branch)funtion, although agreebly this could have been invented before in fractal geometry or graph theory (but I could not find such a function).this hypothesis mathematically formalizes the convergence of such structures, leveraging properties of spherical coordinates and Gaussian integrals to define their limits. Novel implications include a reinterpretation of infinite branching within quantum mechanics, suggesting that seemingly independent "branches" in the Many-Worlds Interpretation may converge into a unified hyper continuum in higher dimensions. This hypothesis introduces a unique perspective on infinite systems, connecting fractal geometry, graph theory, and quantum cosmology.

Comments: 6 Pages. In English & Japanese (Correction made by viXra Admin to conform with the requirements of viXra.org; also please cite and list scientific references and don't use author's name to name any formula/method etc.!)

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Submission history

[v1] 2024-12-06 21:46:16

Unique-IP document downloads: 184 times

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