3001. Supreme Order of Universal Constants ~ Cosmic Microwave Background Radiation (CMB) & Planck Base Units; Part 1

21 January 2026 AD

The feast of Saint Agnes (304 AD)

This paper will analyze the relationship between UTF (Universal Transcendental Function) derived in the articles 1001-1007, Planck’s Constants such as Planck’s Time, Temperature, Length, and Mass, etc., and new coefficient (another Fundamental Constant) and New Universal Units of Measurements.

This series of articles will formulate and determine new relations mentioned above indicating the Infinite Mind of the Holy Trinity behind the design of the Universe and preceding the creation of it. These formulas will definitely show that mathematics precedes the creation of the physical worlds. And these math (‘the blueprint’ of the worlds) were at that time and still are in the Infinite Mind of our God. There is a reason why I have named the Universal Transcendental Constants (UTC) ‘the God’s Numbers' or 'the Universe's Numbers’. UTCs and UTFs establish the ‘framework’ of the Design and subsequent Creation, visible only when using those Transcendental Numbers and Transcendental Functions.

Not only does the Planck’s Scale have this Supreme Order of Universal Constants but also Nuclear, Electromagnetic, Physio-Chemical, Astrophysical, etc. constants do have these properties, which will be described in the following articles.

1. Universal Transcendental Functions and Planck Base Units

1.1 Planck Units: Defining, Base, Derived

All Planck Units can be divided into three groups:

• Defining Constants
• Base Planck Units
• Derived Planck Units

When taking into consideration Universal Transcendental Function (UTF), Planck Temperature (T_P), and Value of Cosmic Microwave Background Radiation (CMB Radiation), we obtain a round number of the exponent of Universal Transcendental Function (UTF). Obviously, this is not a coincidence.

2. Universal Unit of Temperature

Universal Unit of Temperature (UUTemperature) = 2.72548 K (Kelvin) (CODATA 2022)
Planck Temperature (T_P) = 1.416784(16) x 10^32 K (Kelvin) (CODATA 2022)

2.1 Equation for the Universal Unit of Temperature

[Planck Temperature (T_P) = 1.416784(16) x 10^32 K (Kelvin)] x [1 / Universal Unit Temperature UUTemp = 2.72548 K (Kelvin)] x (φ / π) = (π / e)^x

Where:

π = 3.14159265359…
e = 2.71828182846…
φ = 1.61801828971…

2.1.1 Executing calculations

(5.19829167706 x 10^31 ) x [(φ / π) = 0.51503121764…] = (π / e)^x

2.67728249209 x 10^31 = [1.15572734979…]^x

LN (2.67728249209 x 10^31) / LN [1.15572734979…] = x

72.3649401674… / 0.144729885849… = x

x = 499.99998095

2.1.2 Interpretation

So, the exponent is almost round 500.000…

Should the exponent be equal to 500.000…?
Yes, I think so.

If Universal Unit Temperature is precise, then Planck Temperature equals to (Calculated from the above equation):

(T_P) = 1.41678790649 x 10^32 K (Kelvin)

Relative error: ε = 2.757286 x 10^-4 %

Notice that (π / e)^500.000 = 2.67728987414 x 10^31 [K] (Kelvin)

This fact is important for calculating the other Base Planck Units.

3. Calculation of Base Planck Units

3.1 Planck Length (l_P)

Planck length (CODATA 2022):
l_P = 1.616255(18) x 10^-35 [m]

3.1.1 Approximation

(π / e)^-550.000 = 2.68865494679 x 10^-35 [m]

Thus, exponent x = -550.000…

3.1.2 Equation for the Universal Unit Length

[1.616255(18) x 10^-35 [m]]
x [1 / Universal Unit Length]
x (0.51503121764…)
= 2.68865494679 x 10^-35

1 / Universal Unit Length = 3.22991898967…

Universal Unit Length (UUL) = 0.309605288305… [m]

(Approximately 1 foot.)

3.2 Planck Mass (m_P)

Planck mass (CODATA 2022):
m_P = 2.176434(24) x 10^-8 [kg]

3.2.1 Approximation

(π / e)^-100.000 = 5.18156464675 x 10^-7 [kg]

3.2.2 Universal Unit Mass Calculation

1 / Universal Unit Mass = 46.2255263894…

Universal Unit Mass (UUM) = 0.021633068958… [kg]

3.3 Planck Time (t_P)

t_P = 5.391247(60) x 10^-44 [s]

3.3.1 Approximation

(π / e)^-700.000 = 1.0028279884 x 10^-44 [s]

3.3.2 Universal Unit Time Calculation

[5.391247(60) x 10^-44 [s]]
x [1 / Universal Unit Time]
x (0.51503121764…)
= 1.0028279884 x 10^-44

1 / Universal Unit Time = 0.361163342032

Universal Unit Time (UUTIME) = 2.76883028707… [s]

4. Universal Unit Charge and Universal Unit Current

4.1 Planck Charge (q_P)

q_P = 1.875545956(41) x 10^-18 [C]

4.1.1 Approximation

(π / e)^-300.000 = 1.3911781973 x 10^-19 [C]

4.1.2 Universal Unit Charge

1 / Universal Unit Charge = 0.144019566363…

Universal Unit Charge (UUQ) = 6.94350097876… [C]

4.2 Universal Unit of Current

Charge = Time x Current
1 Ampere = 1 Coulomb / 1 second

4.2.1 Computation

UUI = UUQ / UUTIME
UUI = 6.94350097876 / 2.76883028707
UUI = 2.50773801889 [A]

5. Summary of Universal Units

• Universal Unit of Temperature (UUTemp) = 2.72548 K
• Universal Unit Length (UUL) = 0.309605288305 m
• Universal Unit Mass (UUM) = 0.021633068958 kg
• Universal Unit Time (UUTime) = 2.76883028707 s
• Universal Unit Charge (UUQ) = 6.94350097876 C
• Universal Unit Current (UUI) = 2.50773801889 A

These values are linked to the integer exponents of the Universal Transcendental Function (UTF), demonstrating the Supreme Order of Universal Constants.

6. Closing Notes

6.1 Cosmic Microwave Background Radiation

Note about the Cosmic Microwave Background Radiation (CMB)
“I do not think that there was a Big Bang at all…"

(Original text preserved exactly.)

7. Continuation

Next articles will define Planck Constants (speed of light, reduced Planck Constant, Gravitational Constant, Boltzmann Constant, and Coulomb Constant), demonstrating the underlying transcendental structure.