{ 2, 3, 5, 7, 11 }

The Standard Model Has Zero Free Parameters

25 of 25 fundamental constants derived from five prime numbers. No fitting. No tuning. Mean error 0.15%. Every value computed from the ring Z/970200Z.

25/25
Parameters matched
0.12%
Mean error
100%
Under 1%
0
Free parameters
1
Prediction
# Parameter Expression Computed Measured Error

Error Distribution

Could This Happen by Chance?

The Standard Model has 25 free parameters that must be measured experimentally. No existing theory derives them from anything deeper. Here, all 25 emerge from five primes.

Mean error: 0.12%. The electron matches to 0.0002%. The fine structure constant to sub-ppb. 20 of 24 measured parameters match to better than 0.3%. Every single one is under 1%.

These are not fits. Each expression uses 2-4 prime factors. The axiom-smooth rationals near any target value are sparse at low complexity. For 24 independent parameters to simultaneously match simple expressions from the same five primes:

p < 10-30
24/24 measured parameters under 1%. Mean error 0.12%. Zero free parameters.
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