Abstract
The Harmonic Neutron Hypothesis, HNH, has demonstrated that many of the fundamental physical constants including particles and bosons are associated with specific quantum integers, n. These integers define partial harmonic fractional exponents, 1 ± (1/n), of a fundamental frequency, Vf. The goal is to evaluate the prime and composite factors associated with the neutron n0, the quarks, the kinetic energy of neutron beta decay, the Rydberg constant, R, e, a0, H0, h, α, W, Z, the muon, and the neutron gluon. Their pure number characteristics correspond and explain the hierarchy of the particles and bosons. The elements and black body radiation represent consecutive integer series. The relative scale of the constants cluster in a partial harmonic fraction pattern around the neutron. The global numerical organization is related to the only possible prime factor partial fractions of 2/3, or 3/2, as pairs of 3 physical entities with a total of 6 in each group. Many other progressively resonant prime number factor patterns are identified with increasing numbers of smaller factors, higher primes, or larger partial fractions associated with higher order particles or bosons.
Highlights
A logical model explaining the global organization of the physical constants from a purely integer number property perspective does not exist
There are many unanswered questions that go to the very heart of a system of physical constants for which there is no logical pure number structure
An important unique aspect of the Harmonic Neutron Hypothesis is that it does resolve some of these limitations by analyzing the scaling relationships between the physical constants as a unified harmonic resonance finite integer prime-number-dominated power law system
Summary
The primary method organizing and conceptualizing the fundamental physical constants is the Standard Model, SM, (Table 1) [1]-[13]. A logical model explaining the global organization of the physical constants from a purely integer number property perspective does not exist. Quantum physics demonstrates many pure number properties that are expressed simultaneously as physical characteristics, but this is the minority of all physical phenomena. There are many unanswered questions that go to the very heart of a system of physical constants for which there is no logical pure number structure. These questions include: Why are there are six leptons and six quarks? These questions include: Why are there are six leptons and six quarks? Why there are 3 up type quarks and 3 down type quarks? Why are there three charged leptons, and three with zero or minimal mass neutral leptons? Why do the quarks have fractional charges of ±1/3 and ±2/3? Why are the fundamental constants clustered around the relative mass of the neutron and become increasingly sparse as one moves away? Physicists know that black body radiation is integer-based harmonic system, but how are other particles and bosons scaled by an integer harmonic system? If the physical constants possess a numerically and computationally single pure number system what is its common organization? Why are some physical constants quantum in character and others apparently continuous? What has prevented many more physical systems from pure number representation?
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