• Pixel-art sticker of Burnex, personifying Stellar Lifetime, with the caption “Big Stars Burn Out Fast.”

IndexRelativity & CosmosSticker

Burnex

Stellar Lifetime Physics

\[t \propto M^{-2.5}\]
Regular price $4.99 USD
Regular price Sale price $4.99 USD
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Meet Burnex, a giant blue star who burns so brightly he will not last long. Massive stars fuse far faster, so lifetime scales roughly as mass to the power −2.5. The Sun lasts about 10 billion years; a star of 10 solar masses only about 30 million years. Pixel-art kiss-cut sticker in 2, 3, 4 and 6 inches; equation, symbols and sources in the physics panel below.

Size
Surface

Flat $6 shipping worldwideMade to order, ships in 2–5 business days

Details

Size3″ × 3″

3″ × 3″ kiss-cut sticker.

Shipping

Flat $6 shipping on every order, worldwide, whatever's in it.

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

Meet Burnex, a giant blue star who burns so brightly that he will not last very long.

A star shines by fusing hydrogen into helium in its core. You might expect a star with more fuel to last longer, but more massive stars have much hotter, denser cores. Their fusion runs far faster, and their brightness rises much more steeply than their mass.

As a rough rule for main sequence stars, the lifetime scales as t ∝ M^−2.5. The Sun will last about 10 billion years. A star with 10 times the Sun's mass then lasts only about 10 billion × 10^−2.5, roughly 30 million years. A red dwarf with half the Sun's mass could last over 50 billion years.

So the sweating blue giant is gone in a cosmic blink, while the small red star sips its fuel slowly.

Many red dwarfs will still be shining long after every star now alive like Burnex has exploded as a supernova.

Equations

\[t \propto M^{-2.5}\]
Symbols
SymbolMeaningUnit
\(t\) main sequence lifetime \(\mathrm{yr}\)
\(M\) mass of the star \(\mathrm{kg}\)