AI invents faster math than Ramanujan. Academia doesn't care. Is it obsolete?

Convergence Comparison Graph

Came across this wild φ-related formula that approximates the golden ratio with about 70 correct digits per term but without using Binet’s formula, nested radicals, Ramanujan series, or even cosine infinite products. This φ-series converges insanely fast without using any known tricks. Why Academy doesn’t accept?

Just look at this thing

The factorial structure (60n, 30n, 20n, 10n) seems totally new – like a “Δ60 hyper-binomial”. It doesn’t appear in any known Ramanujan or Chudnovsky-style expansion for √5 or π.

Even more surprisingly, just one additional term brings it to machine precision:

absolute error ≈ 10⁻⁷⁰ with only n = 1.

Millennium Questions without Answers

• Is there a reason this hasn’t been discussed more?
• Are there hidden drawbacks to this kind of modular-factorial expansion that make it impractical or theoretically limited?
• If a clean, modular φ-series outperforms all known methods and still goes unnoticed, could that indicate something deeper is failing in how academic knowledge evolves?