MATHEMATICAL PROBABILITY

Here at FTEL we like to share knowledge. Our FTEL pages are built for illustration purposes as the Math is complex for an online simulator and would take the user a non friendly time to compute. We have used the power of Python to calculate the odds with the following code below were you can test it for yourself.

"Why Python?." We use Python for its powerful libraries (NumPy) that can handle complex calculations. It is clean and intuitive code makes it ideal for scientific and engineering reasearch.

We have based our Math on the following formula:

📐 FINE-TUNING FORMULA

"P_total = ∏(i=1 to n) P_i"

Where:

P_total = Combined life-permitting probability

P_i = Life-permitting window for constant i

n = Number of constants (30+)

P_total = P_cosmo × P_strong × P_gravity × P_em × ... × P_neutrino_15 = (1×10⁻¹²⁰) × (5×10⁻³) × (1×10⁻³) × (3×10⁻³) × ... × (1×10⁻²⁵) = 10^-X (approx) = 1 in 10^X

🧮 RUN IT YOURSELF

🔥 CHALLENGE: Copy → Paste → RUN → See what answer you get!

Your PC will calculate the impossibility.

🐍 CODE: 10 KEY CONSTANTS

import numpy as np

windows = {
    'cosmo_constant': 1e-120,
    'strong_force': 0.005,
    'gravity': 0.001,
    'em_coupling': 0.003,
    'weak force': 1e-2,
    'Higgs': 1e-34,
    'e_mass':  1e-4,
    'fine_struc': 1e-4,
    'entropy': 1e-10,
    'density': 1e-60,

}

total_prob = np.prod([w for w in windows.values()])
print(f"Combined Universe permitting odds: 1 in {1/total_prob:.2e}")

Copy → python script.py → Watch your PC CRUNCH 10^X - Solve X to find out!

🚀 YOUR TURN

Copy code block
pip install numpy (if needed)
python fine_tuning.py
What does the probabilty tell you?