Professor, The Ohio State University
Aims: A high precision Hubble constant, H0, is an important physical constant. The goal of this work is to derive and predict the H0 from subatomic physical data related to solely the neutron and hydrogen properties only, excluding any standard astronomy measurements.
Study design: Purely computational.
Methodology: The harmonic neutron hypothesis assumes that the fundamental constants represent a unified harmonic system. It has demonstrated that harmonic integer fractions plus small derived δ exponents of annihilation frequency of the neutron (vns) as a dimensionless coupling constant represent other physic constants as frequency equivalents. It is logical that H0 should represent one of these values. In this case the derived H0 equals (2.2718591 x 1023)exponent H0 s-1. This model is based on classic physical and mathematical foundations including: a consecutive integer series, a natural unit system, speed of light, Planck’s constant, unit charge, and the exponent of the neutron all equal 1, dimensionless coupling constants, conversion of one standard unit to frequency, a harmonic fraction series, (n±1)/n and 1/±n for n = 1 to ∞, a fundamental frequency, vn, if the fundamental frequency is known then all of the discrete harmonic frequencies can be derived from the harmonic fractions, this is analogous to predicting the ionization energies of unmeasured elements from the hydrogen ionization energy, exponential distribution of energy over time, exponent values plotted on a 2D vector plane, and symmetry, The model has derived and published a high accuracy Planck time, tP, and the gravitation constant, G from solely high precision physical data: the neutron, electron, Bohr radius, and ionization energy of hydrogen as frequency equivalents. It is shown that H0, falls on this previously published tP line. It is logical that H0 is associated with gravity. The positive even number denominator harmonic fractions 1⁄2, 3⁄4, 5/6, 7/8 have
been shown and published to be related to the kinetic energy lost in the neutron beta decay process. It is logical that one of these symmetric negative even fractions -1⁄2, -3⁄4, -5/6, -7/8 should be related to cosmic kinetic constants including H0. -1 -1
Results: The derived velocity is 70.886247 km s Mpc .The experimental values range from 67.3, to 76.9 km s-1 Mpc-1. The derived H0 is 2.2972668 x 10 -18 s-1. The reported value is approximately 2.3 x 10 – 18 s-1 with an exponent of -0.75518 which must be related to the harmonic fraction -3/4. The Hubble constant, H0, was derived utilizing the harmonic fraction of -3/4 on the tP line. The derived δH0 value from the tP line at x axis, -3/4-1, equals -5.20211236 x 10-3. The derived exponent of H0 equals -3/4 +δH0, – 0.75520211.
Conclusion: The Hubble constant can be derived from subatomic data accurately and is logically related to the neutrinos, neutron beta decay, hydrogen, Planck time, gravity, and the neutron. These computations were made from utilizing previously published data related to the tP2 line supporting the hypothesis. This is an example of a method that simultaneously scaled quantum and cosmologic physical constants.
Keywords: [Hubble constant, gravity, Planck time, neutron, hydrogen, unification models)