Abstract
A new cosmological paradigm based upon global discrete self-similarity proposes a radical revision in our understanding of atomic scale dynamics. The discrete fractal scaling of this paradigm predicts a very large and discrete scale-dependence for gravitational coupling constants. This alternative gravitational scaling leads to revised values for the Planck mass, Planck length and Planck time, which appear to be more unified and physically comprehensible than is the case with the conventional Planck scale values. The fundamental interrelationship of the revised Planck mass, the corrected gravitational constant for atomic scale systems, the reduced Planck's constant and the velocity of light suggests a hidden meaning for Planck's constant. Within the context of the discrete fractal cosmological paradigm, Planck's constant is revealed as the fundamental unit of gravitational action for atomic scale systems. Implications for atomic scale dynamics are briefly outlined.
Highlights
Planck’s constant entered physics in 1900 as a result of Max Planck’s attempts to provide a theoretical explanation for the empirically discovered laws of blackbody radiation.[1]
A third important principle of the fractal paradigm is that the cosmological Scales are rigorously self-similar, such that for each class of objects or phenomena on a given Scale there is analogous class of objects or phenomenon every other cosmological Scale
Since the discrete fractal scaling applies to all dimensional parameters, the Scale transformation equations apply to dimensional “constants.” Given the dimensionality of the gravitational constant, L3/MT2, the discrete fractal paradigm proposes that the gravitational coupling constants GΨ scale as follows.[3]
Summary
Planck’s constant entered physics in 1900 as a result of Max Planck’s attempts to provide a theoretical explanation for the empirically discovered laws of blackbody radiation.[1] He found that Wien’s heuristic approximation and existing observations could be reproduced if one adopted the concept that matter was a collection of discrete harmonic oscillators that obeyed an energy/frequency law of the form:. The implication of Planck’s discovery of h was that the action of atoms is quantized and that h represents the fundamental unit of action for discrete atomic scale systems. Planck’s constant has become an integral component of modern atomic and subatomic physics, such that an understanding of the microcosm without it is virtually unthinkable. We will discuss the possibility that a discrete fractal approach to modeling nature may offer a unique and deeper understanding of Planck’s constant
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