• Pixel-art Truncalis, the Divergent-Series Oracle, on a black mug with the slogan "MORE TERMS. WORSE ANSWER."

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Truncalis, the Divergent-Series Oracle Mug

\[n_{\text{opt}} \sim \frac{1}{\alpha} \approx 137\]
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QED perturbation series is (generally argued to be) asymptotic, not convergent: adding terms improves the answer only up to an optimal order (heuristically ~1/α ≈ 137), after which it worsens.

The joke: Every thesis edit after a point is a higher-order term. The slogan on the mug reads MORE TERMS. WORSE ANSWER.

Source: F. J. Dyson, Phys. Rev. 85, 631 (1952).

Shipping calculated at checkout by destinationMade to order, ships in ~10 days

Details

Size & material11oz · 15oz

Black glossy ceramic mug with a C-handle. Lead- and BPA-free.

  • 11oz: 0.33 l
  • 15oz: 0.44 l
CareDishwasher & microwave safe

Dishwasher safe (top rack) or hand wash. Microwave safe.

ShippingBy destination

Shipping calculated at checkout by destination.

Made to order: about 10 days of production and handling before it ships.

Delivery times & where we ship

Returns & replacements21 days

Every item is printed to order, so we can’t accept returns or exchanges for change of mind, or if you ordered the wrong size or colour.

Print defect, misprint, damage or the wrong item? We’ll send a free replacement, or a refund if you prefer. Report it within 21 days of delivery with a photo; no need to send it back.

Full refund & replacement policy

The physics

QED perturbation series is (generally argued to be) asymptotic, not convergent: adding terms improves the answer only up to an optimal order (heuristically ~1/α ≈ 137), after which it worsens.

The joke: Every thesis edit after a point is a higher-order term. The slogan on the mug reads MORE TERMS. WORSE ANSWER.

Source: F. J. Dyson, Phys. Rev. 85, 631 (1952).

Equations

\[n_{\text{opt}} \sim \frac{1}{\alpha} \approx 137\]
Symbols
SymbolMeaningUnit
\(n_{\text{opt}}\) heuristic optimal truncation order —
\(\alpha\) fine-structure constant —