Temporal Fractals in the Mammalian Hypothalamus and Music

Authors: Garcia-Falgueras A*

DOI: 10.23880/pprij-16000394

Volume 9, Issue 1

Abstract

A fractal is a mathematical shape that is infinitely complex, while its pattern repeats endlessly. Regardless of how zoomed in or zoomed out the analysis is achieved, the segment to study looks very similar in every part of the fractal to the whole picture (in 3D fractals) or the whole composition (2D fractals). In mammalian metabolism, some fractals might be happening, since our inner rhythms and circadian cadences are following a natural sequence, grouped and organised. This series of waves and interconnected system enable the whole organism to have regulation and to monitor the biorhythms. Nature is written in fractal language and in its logarithmic or exponential formulas. Similarly also music is having fractals expressions, catenations, logic consecutive structures or waves in anchored oscillations. In this paper we will briefly study some visual linear and temporal fractals (2D) which might happen commonly for some hypothalamic functions and some parameters of music. Nevertheless for an accurate calculation of Hurst exponent many data and empirical records are required and in some cases this number is not achievable from biological samples or musical pieces with an end. However, statistical knowledge would be able to provide keys to subsane this lack. In those cases when it would be possible, finding temporal parameters, calculating the average and mathematical slope definition of the straight line might add more accurately knowledge for some human metabolic responses or anatomical structures in Neuroscience. Additionally musicians´ grandiose brains and how they were able to organised the music might be better acknowledged.

Keywords: Hypothalamus; music; fractal; brain; Suprachiasmatic Nucleus; SCN; heart; recursive; self-similarity; Mozart; Bach

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