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The Planckian Hierarchal Schematic

Vito R. D'Angelo

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Abstract

The construction of the Planckian hierarchal schematic, comprised of four very well-known Planck constants, i.e., h,(h-bar), lp, and tp. The reintroduction of a forgotten constant, 1/2 of (h-bar). The postulation of a new Planck constant - the Planck circumference, symbol (P), where the Planck length is its diameter. The natural outcome of pi as the ratio of the Planck length and Planck circumference. Also, the initialization of the ratio of 1/2(h-bar) and the Planck circumference, with a value of 1.038499006, referred to, as the ratio of attribute. The crux of the paper is to show that the dimensionless ratios of the Planckian schematic (i.e., 2, 1.038499006, pi and 299792458) can be utilized to enumerate the Planck momentum, Planck mass and Planck energy constants.

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What this paper is about

The construction of the Planckian hierarchal schematic, comprised of four very well-known Planck constants, i.e., h,(h-bar), lp, and tp. The reintroduction of a forgotten constant, 1/2 of (h-bar). The postulation of a new Planck constant - the Planck circumference, symbol (P), where the Planck length is its diameter. The natural outcome of pi as the ratio of the Planck length and Planck circumference. Also, the initialization of the ratio of 1/2(h-bar) and the Planck circumference, with a value of 1.038499006, referred to, as the ratio of attribute. The crux of the paper is to show that the dimensionless ratios of the Planckian schematic (i.e., 2, 1.038499006, pi and 299792458) can be utilized to enumerate the Planck momentum, Planck mass and Planck energy constants.

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Available abstract

The construction of the Planckian hierarchal schematic, comprised of four very well-known Planck constants, i.e., h,(h-bar), lp, and tp. The reintroduction of a forgotten constant, 1/2 of (h-bar). The postulation of a new Planck constant - the Planck circumference, symbol (P), where the Planck length is its diameter. The natural outcome of pi as the ratio of the Planck length and Planck circumference. Also, the initialization of the ratio of 1/2(h-bar) and the Planck circumference, with a value of 1.038499006, referred to, as the ratio of attribute. The crux of the paper is to show that the dimensionless ratios of the Planckian schematic (i.e., 2, 1.038499006, pi and 299792458) can be utilized to enumerate the Planck momentum, Planck mass and Planck energy constants.

Key concepts: Planck, Planck time, Planck length, Planck mass, Planck energy, Planck constant, Physics, Dimensionless quantity

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