3003. Supreme Order of Universal Constants ~ Derived Planck Constants; Part 3

3003. Supreme Order of Universal Constants ~ Derived Planck Constants; Part 3

 

10 March 2026 AD
Forty Holy Martyrs of Sebaste, Armenia (320 AD); St. Macarius (334 AD)

Introduction to Derived Planck Units

Let us proceed with Derived Planck Units ~ Mechanical Units.

We will calculate the exponents of Universal Transcendental Function (UTF) as follows, for each case:

Equation

(Measured Value of a given Planck Unit) x (Conversion from SI system of measurement to Universal Unit System) x (Optional Coefficient) = (π / e)^x

Where ‘x’ is an exponent, we want to calculate

Let us start.

Mechanical Planck Units

Planck Energy E_P

Planck Energy E_P = 1.956082 x 10^9 [J] = [kg x m^2 / s^2 ]

Equation:

(1.956082 x 10^9 [J] = [kg x m^2 / s^2]) x (Universal Unit Mass / 0.021633068958 [kg]) x
x (Universal Unit Length / 0.3096055288305 [m])^2 x (2.76883028707 [s] / Universal Unit Time)^2 x
x (φ / π) = (π / e)^x

SI Units cancel, and the result is

3.72458945385 x 10^12 = (π / e)^x

Ln (3.72458945385 x 10^12 ) / Ln (π / e) = x

28.945977748 / 0.144729885849 = x

x = 200.000003994…

Planck Momentum p_P

Planck Momentum p_P = 6.524850 [kg x m / s]

Equation:

(= 6.524850 [kg x m / s]) x (Universal Unit Mass / 0.021633068958 [kg]) x
x (Universal Unit Length / 0.3096055288305 [m]) x (2.76883028707 [s] / Universal Unit Time) x
x (φ / π) = (π / e)^x

SI Units cancel, and the result is

1389.22924748 = (π / e)^x

x = Ln (1389.22924748) / Ln (π / e)

x = 7.23650437412 / 0.144729885849

x = 50.0000696584…

Planck Force F_P

Planck Force F_P = 1.210256 x 10^44 [N] = [kg x m / s^2 ]

Equation:

(= 1.210256 x 10^44 [N] = [kg x m / s^2 ]) x (Universal Unit Mass / 0.021633068958 [kg]) x
x (Universal Unit Length / 0.3096055288305 [m]) x (2.76883028707 [s] / Universal Unit Time)^2 =
= (π / e)^x

SI Units cancel, and the result is

1.38529865744 x 10^47 = (π / e)^x

x = ln (1.38529865744 x 10^47 ) / ln (π / e)

x = 108.547415124 / 0.144729885849

x = 750.000005094…

Planck Power P_P

Planck Power P_P = 3.628255 x 10^53 [W] = [kg x m^2 / s^3 ]

Equation:

(3.628255 x 10^53 [W] = [kg x m^2 / s^3 ]) x (Universal Unit Mass / 0.021633068958 [kg]) x
x (Universal Unit Length / 0.3096055288305 [m])^2 x (2.76883028707 [s] / Universal Unit Time)^3 = (π / e)^x

SI Units cancel, and the result is

3.71408584965 x 10^56 = (π / e)^x

x = ln (3.71408584965 x 10^56 ) / ln (π / e)

x = 130.256897785 / 0.144729885849

x = 900.0000036…

Planck Density ρ_P

Planck Density ρ_P = 5.155 x 10^96 [kg / m^3 ]

Equation:

(= 5.155 x 10^96 [kg / m^3 ]) x (Universal Unit Mass / 0.021633068958 [kg]) x
x (0.3096055288305 [m] / Universal Unit Length)^3 x (2π / φ) = (π / e)^x

SI Units cancel, and the result is

2.74619952296 x 10^88 = (π / e)^x

x = ln (3.71613093175 x 10^97 ) / ln (π / e)

x = 224.360971985 / 0.144729885849

x = 1550.20485692…

Note on Planck Density Calculation

Observing the provided text, there appears to be a minor transcription variance in the logarithmic input (2.74619952296 x 10^88 vs. ln of 3.71613093175 x 10^97), but the exponent result is preserved as given.

Planck Pressure p_P

Planck Pressure p_P = 4.633 x 10^113 [Pa] = [kg / m x s^2 ]

Equation:

( 4.633 x 10^113 [Pa] = [kg / m x s^2 ]) x (Universal Unit Mass / 0.021633068958 [kg]) x

x (0.3096055288305 [m] / Universal Unit Length) x (2.76883028707 [s] / Universal Unit Time)^2 x

x (2π / φ) = (π / e)^x

SI Units cancel, and the result is x

1.97397501479 x 10^116 = (π / e)^x

x = ln (1.97397501479 x 10^116 ) / ln (π / e)

x = 267.779920071 / 0.144729885849

x = 1850.20473484…

Planck Acceleration a_P

Planck Acceleration a_P = 5.560818 x 10^51 [m / s^2 ]

Equation:

( 5.560818 x 10^51 [m / s^2 ]) x (Universal Unit Length / 0.3096055288305 [m]) x

x (2.76883028707 [s] / Universal Unit Time)^2 x (π / φ) = (π / e)^x

SI Units cancel, and the result is

2.67355689806 x 10^53 = (π / e)^x

x = ln (2.67355689806 x 10^53 ) / ln (π / e)

x = 123.020419686 / 0.144729885849

x = 850.000115485…

Planck Frequency Unit

Let us calculate exponent of Planck Frequency Unit in Universal Units of Measurement

Planck Frequency f_P = 1.854859 x 10^43 [Hz] = [1 / s]

Equation:

(1.854859 x 10^43 [Hz] = [1 / s]) x (2.76883028707 [s] / Universal Unit Time) x (π / φ) =

= (π / e)^x

SI Units cancel, and the result is

9.97180287631 x 10^43 = (π / e)^x

x = ln (9.97180287631 x 10^43 ) / ln (π / e)

x = 101.310920396 / 0.144729885849

x = 700.000002086…

Electromagnetic Planck Units

Now, exponents of Electromagnetic Planck Units in Universal Units of Measurement

Planck Current I_P

Planck Current I_P = 3.479 x 10^25 [A] = [C / s]

Equation:

(3.479 x 10^25 [A] = [C / s]) x (Universal Unit Charge / 6.94350097876 [C]) x

x (2.76883028707 [s] / Universal Unit Time) = (π / e)^x

SI Units cancel, and the result is

1.38730599998 x 10^25 = (π / e)^x

x = ln (1.38730599998 x 10^25 ) / ln (π / e)

x = 57.8919910619 / 0.144729885849

x = 400.000253729…

Planck Voltage V_P

Planck Voltage V_P = 1.042940 x 10^27 [V] = [kg x m^2 / s^3 x A] = [kg x m^2 / s^2 x C]

Equation:

(1.042940 x 10^27 [V] = [kg x m^2 / s^3 x A] = [kg x m^2 / s^2 x C]) x

x (Universal Unit Mass / 0.021633068958 [kg]) x

x (Universal Unit Length / 0.3096055288305 [m])^2 x (2.76883028707 [s] / Universal Unit Time)^2 x

x (6.94350097876 [C] / Universal Unit Charge) = (π / e)^x

SI Units cancel, and the result is

2.67729128406 x 10^31 ) = (π / e)^x

x = ln (2.67729128406 x 10^31 ) / ln (π / e)

x = 72.3649434513 / 0.144729885849

x = 500.000003693…

Planck Impedance Z_P

Planck Impedance Z_P = 29.9792458 [Ohm] = [kg x m^2 / s^3 x A^2 ] = [kg x m^2 / s x C^2 ]

Equation:

(29.9792458 [Ohm] = [kg x m^2 / s^3 x A^2 ] = [kg x m^2 / s x C^2 ]) x

x (Universal Unit Mass / 0.021633068958 [kg]) x

x (Universal Unit Length / 0.3096055288305 [m])^2 x (2.76883028707 [s] / Universal Unit Time) x

x (6.94350097876 [C] / Universal Unit Charge)^2 = (π / e)^x

SI Units cancel, and the result is

1929919.37849 = (π / e)^x

x = ln (1929919.37849) / ln (π / e)

x = 14.4729887872 / 0.144729885849

x = 100.000001398…

Planck Electric Field E_P

Planck Electric Field E_P = 6.453 x 10^61 [V / m] = [kg x m / s^3 x A] = [kg x m / s^2 x C]

Equation:

(6.453 x 10^61 [V / m] = [kg x m / s^3 x A] = [kg x m / s^2 x C]) x

x (Universal Unit Mass / 0.021633068958 [kg]) x (Universal Unit Length / 0.3096055288305 [m]) x (2.76883028707 [s] / Universal Unit Time)^2 x (6.94350097876 [C] / Universal Unit Charge) x

x (π / φ) = (π / e)^x

SI Units cancel, and the result is

9.95801511919 x 10^65 = (π / e)^x

x = ln (9.95801511919 x 10^65 ) / ln (π / e)

x = 151.966408811 / 0.144729885849

x = 1050.00019819…

Planck Magnetic Field B_P

Planck Magnetic Field B_P = 2.152 x 10^53 [T] = [kg / A x s^2 ] = [kg / C x s]

Equation:

(= 2.152 x 10^53 [T] = [kg / A x s^2 ] = [kg / C x s]) x (Universal Unit Mass / 0.021633068958 [kg]) x

x (6.94350097876 [C] / Universal Unit Charge) x (2.76883028707 [s] / Universal Unit Time) x

x (π / φ) = (π / e)^x

SI Units cancel, and the result is

3.71334599107 x 10^56 = (π / e)^x

x = ln (3.71334599107 x 10^56 ) / ln (π / e)

x = 130.256698562 / 0.144729885849

x = 899.998627082…

Thermodynamic Planck Units

Thermodynamic Planck Units are Planck Entropy and Planck Heat Capacity they are equal to Boltzmann Constant k_B = 1.380649 x 10^-23 [J / K] with exponent

x = -299.999979029…

Conclusion: The Supreme Order Revealed

As you can see the Planck Constants all have rounded numbers (integers) as the exponents or very near them. One may say, o, this is because Base Planck Units and Defining Planck Units were calculated first and they are all related (even though they all have different measured values). In the following articles you will see that completely unrelated constants also have the same property – integer exponents. This obviously means that there is the Supreme Order of all Constants of the Universe, from the smallest scale (quantum) to the largest scale (Cosmos). This fact indicates beyond the doubt that there is a Designer and Creator of all (not just any pagan God, but the Holy Trinity). I am sure that also the Biological Constant (e.g., DNA) determining life have the same properties.

Upcoming Topics

Next articles will be about the exponents of Universal Transcendental Function calculated with Universal Units of Measurement in the following fields:

  • Universal Constants
  • Dimensionless Constant (fine structure constant alpha, g-factors)
  • Electromagnetic Constants
  • Electromagnetic Radiation Constants
  • Electron Constants
  • Physio-Chemical Constants (Avogadro, mol)
  • Nuclear Constants (proton, neutron, etc.)
  • Particle Physics (muon, tau, etc.)
  • Quark mixing angles
  • Neutrino oscillation angles
  • Quark and Neutrino charge-parity violating angles
  • Cosmic Microwave Background
  • Milky Way
  • Sun
  • Planet Earth
  • Conventional Constants (luminance, frequency, etc.)
  • Astronomical Constants
  • Etc.
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