THE PHYSICAL CONSTANTS:
FUNCTIONS OF THE ‘GOLDEN BOWL’ ARRANGEMENTS
ON THE Φ-LEVEL OF EXISTENCE ITSELF1

 

Constant Symbol Value* Φ-Structure Φ-Value Difference (pph)
Speed of light in vacuum c 299792458 φ raised to the value of the diameter of the six-pointed ‘defining bowl’ star (φ40.56) at once the mean square megametric radius of Earth 299368444 0.14
Triple-point temperature Tt 273.16 fourfold perimeter of the pentagon enclosing the ‘defining bowl’ 274.1640785 0.37
Permeability of vacuum 0 12.56637061 circumference circumscribing the regular hexagon the side of which is the base of the ‘entry bowl’ 12.56637061 Exact
Permittivity of vacuum 1/0c2 0 8.854187817 tenfold negative square root of the hundredth part of the circumference circumscribing the six-pointed ‘defining bowl’ star, at once of the ten-fold megametric diameter of Earth 8.858998187 0.05
Gravitational constant G 6.67259 square root of the ten-fold radius of the circle circumscribing the regular pentagon the side of which is the base of the ‘defining bowl’ 6.673878524 0.019
Planck constant h 6.6260755 total length of x and y axis segments intersected by the first four-quadrant sweep of the φ-spiral the initial bounds of which are the rectangle, 1 by φ 6.626053279 0.00034
  (h/2π) 1.05457266 inverse fourth root of COS 36, the central angle of the regular decagon embodying φ-proportionality 1.054412604 0.015
Elementary charge e 1.60217733 φ 1.618033989 0.99
Magnetic flux quantum
h/2e
F0 2.06783461 cube of the hundredth part of the circumference circumscribing the six-pointed ‘defining bowl’ star, at once of the ten-thousandth part of the megametric diameter of Earth 2.068675272 0.04
Electron mass me 9.1093897 fourth root of the hundredfold perimeter of the pentagon enclosing the ‘defining bowl’ 9.098873777 0.12
Proton mass mp 1.6726231 square root of the tenth part of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ 1.672893261 0.016
Proton-electron mass ratio mp/me 1836.152701 the φ-to-the-fourth power of 1/100,000,000th of φ raised to the value of the diameter of the six- pointed ‘defining bowl’ star ( φ40.56), at once to the mean square megametric radius of Earth 1836.388737 0.013
Neutron mass mn 1.6749286 square root of the tenth part of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ 1.672893261 0.12
Compton wavelength h/mec c 2.42631058 φ root of the area of the pentagonal triangle enclosing the ‘entry bowl’, outside the bowl 2.42687961 0.024
  c/2π 3.8615905 φ root of the area of the pentagonal triangle enclosing the ‘entry bowl’, outside the bowl, divided by the hundredth part of the area of the circle circumscribing the pentagon 3.893903367 0.84
Compton wavelength of the proton c,p 1.3214099 ratio of the area of the circle to the area of the inscribed pentagon in the pentagonal arrangement of ‘golden bowls’ 1.321306399 0.0078
 

c,p/2π

2.1030892 ratio of the area of the circle to the area of the inscribed pentagon in the pentagonal arrangement of ‘golden bowls’, divided by the hundredth part of the area of the circle circumscribing the pentagon 2.120022524 0.81
Fine-structure constant m0ce2 α 7.29735308 the hundredfold ratio of the axis segments to the lengths from the origin to the sides of the rectangle in the sweep of the
φ-spiral the initial bounds of which are the ‘golden rectangle’, 1 by φ, divided by twice the total length of the axis segments intersected in the first four-quadrant sweep
7.294901726 0.03
Inverse fine-structure constant α-1 137.0359895 square of the diameter of the rim of the ‘defining bowl’ in the pentagonal arrangement of ‘golden bowls’, at once the square of tenfold the constant ratio of the diameter of the base of a bowl to that of the rim of the next smaller in the infinite pentagonal series of bowls, identically the square of tenfold the ratio of the length of the φ-spiral from the x-axis in the fourth quadrant to -, to the length of the spiral through the first four quadrants of the coordinate plane 137.082039324 0.03
Rydberg constant
me2/2h
R 10973731.534 One billion times φ-4 divided by twice the total length of x and y axis segments intersected by the first four-quadrant sweep of the φ-spiral the initial bounds of which are the rectangle, 1 by φ 11009422.02 0.33
Avogadro constant NA, L 6.0221367 Tenfold inverse of the square root of the φ-1 section of the radius of the circle circumscribing the ‘entry bowl’ pentagon 6.027198883 0.08
Faraday constant
NAe
F 96485.309 the eighth power of the area of the pentagonal triangle enclosing the ‘entry bowl’, outside the bowl 96420.4214 0.067
Molar volume of ideal gas at s.t.p. Vm 22.41383 100 times the inverse of the radius of the circle circumscribing the ‘entry bowl’ pentagon 22.45139883 0.17
Molar gas constant R 8.314510 one hundred thousand times the eighth power of COS 72, the central angle of the pentagonal arrangement of ‘golden bowls’ 8.314936042 0.005
Boltzmann constant R/NA k 1.380658 square of the ratio of the side of the inscribed pentagon to the circumscribed circle’s radius in the ‘golden bowl’ arrangement 1.381966012 0.095
Stefan-
Boltzmann constant
2/60)
k4/3c2
σ 5.67051 ratio of the axis segments to the lengths from the origin to the sides of the rectangle in the sweep of the f-spiral the initial bounds of which are the ‘golden rectangle’, 1 by φ, divided by the length from the origin to the top of the rectangle third smaller than ABCD,
φ-2 /51/2
5.659325165 0.198
Atomic mass unit u 1.6605655 square root of the φ-1 section of the radius of the circle circumscribing the ‘entry bowl’ pentagon 1.659145516 0.086
Electron charge to mass ratio e/me 1.7588047 square of the ratio of the area of the circle to the area of the inscribed pentagon in the pentagonal arrangement of ‘golden bowls’ 1.7458506 0.74
Josephson frequency- voltage ratio 2e/h 4.835939 20φ divided by the total length of x and y axis segments intersected by the first four-quadrant sweep of the φ-spiral the initial bounds of which are the rectangle, 1 by φ 4.88385445 0.99
Quantum of circulation h/2me 3.6369455 eighth power of the ratio of the diameter of the circle to the side of the inscribed pentagon in the arrangement of ‘golden bowls’ 3.647450829 0.29
  h/me 7.273891 the hundredfold ratio of the axis segments to the lengths from the origin to the sides of the rectangle in the sweep of the φ-spiral the initial bounds of which are the ‘golden rectangle’, 1 by φ, divided by twice the total length of the axis segments intersected in the first four-quadrant sweep 7.294901726 0.29
Bohr radius a0 5.2917706 square root of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ 5.290152988 0.03
Classical electron radius re 2.8179380 tenth part of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ 2.798571864 0.69
Thomson cross section σe 0.6652448 tenth part of the circumference circumscribing the pentagon enclosing the ‘entry bowl’, divided by φ3 0.6606532 0.695
Bohr magneton mB 9.274078 eighth power of the ratio of the area of the circle to the area of the inscribed pentagon in the pentagonal arrangement of ‘golden bowls’ 9.29026936 0.18
Electron magnetic moment e 9.284832 eighth power of the ratio of the area of the circle to the area of the inscribed pentagon in the pentagonal arrangement of ‘golden bowls’ 9.29026936 0.059
Gyromagnetic ratio of protons in H2O p 267513010 100,000,000 times the ratio of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ to the square of the distance from the intersection of the base of the ‘entry bowl’ with the radius to the intersection of the circumference with the radius bisecting the bowl 267239833 0.10
  p/2π 42576020 100,000,000 times the ratio of the circumference circumscribing the pentagon enclosing the ‘entry bowl’ to the square of the distance from the intersection of the base of the ‘entry bowl’ with the radius to the intersection of the circumference with the radius bisecting the bowl, divided by one-tenth the area of the circle 42878372.3 0.71
Proton magnetic moment in Bohr magnetons p/B 1.521032209 fourth root of the side of the pentagon enclosing the ‘entry bowl’ 1.512694818 0.55
Ratio of electron and proton magnetic moments e/p 658.2106880 fourth power of the ratio of the height of the pentagonal section enclosing the ‘entry bowl’ to the base of the bowl, times the area of the circumscribed circle 656.7499373 0.22
Proton magnetic moment p 1.4106171 square root of the ratio of the radius of the circle circumscribing the pentagon enclosing the ‘entry bowl’ to the distance from the center to the mid-point of the side of the pentagon, times φ, at once 21/2 1.414213562 0.255
Magnetic moment of protons in H2O in nuclear magnetons p/N 2.7927740 tenth part of the circumference circumscribing the ‘entry bowl’ pentagon 2.798571864 0.21
Nuclear magneton N 5.050824 square of the ratio of the area of the pentagonal section enclosing the ‘entry bowl’ to the portion of itself exterior to the ‘entry bowl’ 5.050528019 0.0059
Ratio of muon and proton magnetic moments /p 3.1833402 square root of the half-radius of the six-pointed ‘defining bowl’ star, at once of the fourth part of the mean square megametric radius of Earth, the power of φ equivalent to c 3.184274175 0.029
Muon magnetic moment 4.490474 ten times the inverse of the ‘foundational distance’ separating the bases of the ‘defining’ and ‘entry’ bowls in the pentagonal arrangement of ‘golden bowls’ 4.49027977 0.0043
Muon rest mass m 1.883566 fourth root of the circumference circumscribing the regular hexagon whose side is the base of the ‘entry bowl’ 1.882792527 0.04
First radiation constant
hc2
c1 3.741832 in the pentagonal arrangement of ‘golden bowls’, ten times the ratio, to the circumscribed circumference, of the square of the distance from the intersection of the base of the ‘entry bowl’ with the radius to the intersection of the circumference with the radius bisecting the bowl 3.74195714 0.003
Second radiation constant
hc/k
c2 1.438786 half the fourth root of the perimeter of the pentagon enclosing the ‘defining bowl’ 1.438658264 0.0089

 

*  The physical values in the table are the 1986 CODATA recommended values.  For the most recent recommended values of the fundamental physical constants, cf. the 2006 CODATA Recommended Values of the Fundamental Physical Constants, available at http://physics.nist.gov/ constants. October 2008.

 

Note

1  See also, on this web, Common Biophysical Variables as Combinations of Planck Length (lp), Planck Time (tp) and Planck Mass (mp) & the Equivalent Golden Section Factors.

 


Contact


Home Page