Indexसापेक्षता और ब्रह्मांडTee
I Twist Space Itself
Spacetime Distortion Physics
Size guide S–5XL · inches
Space is not a rigid stage. Put enough mass on it and the stage bends. Mass curves spacetime and light follows the curve: gravitational lensing, from general relativity. I Twist Space Itself wears it in pixel art on a unisex tee. The physics panel below has the equation, every symbol and the sources.
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One equation · 60 seconds · one try · once a day.
Details
Size & fitS–5XL
Unisex heavy cotton (Gildan 5000), classic fit.
| Size | Width | Length | Sleeve |
|---|---|---|---|
| S | 18 | 28 | 15.1 |
| M | 20 | 29 | 16.5 |
| L | 22 | 30 | 18 |
| XL | 24 | 31 | 19.5 |
| 2XL | 26 | 32 | 21 |
| 3XL | 28 | 33 | 22.4 |
| 4XL | 30 | 34 | 23.7 |
| 5XL | 32 | 35 | 25 |
पैमाने के लिए: साइज़ M की चौड़ाई 20 in (50.80 cm) है, यानी लगभग 3.143 × 1034 प्लांक लंबाई (lP = 1.616255 × 10−35 m)। इंच-टेप ज़्यादा जल्दी काम करेगा।
Measurements in inches, ±1.5 in tolerance.
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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.
The physics
Mass curves spacetime, so a ray of light passing the Sun follows a bent path. General relativity predicts a bending angle of 4GM/(c²b), twice what Newton's gravity gives for light treated as particles, and eclipse measurements agreed with Einstein's value.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(\alpha\) | deflection angle of light passing a mass | \(\mathrm{rad}\) |
| \(G\) | gravitational constant | \(\mathrm{m³·kg⁻¹·s⁻²}\) |
| \(M\) | lensing mass | \(\mathrm{kg}\) |
| \(c\) | speed of light | \(\mathrm{m/s}\) |
| \(b\) | impact parameter (closest approach) | \(\mathrm{m}\) |
Sources
- Dyson, Eddington, Davidson (1920) deflection of light by the Sun, Phil. Trans. R. Soc. A 220, 291 (opens in a new tab)
- Einstein (1916) Die Grundlage der allgemeinen Relativitätstheorie, Ann. Phys. 354, 769 (opens in a new tab)
- Encyclopaedia Britannica — Gravitational lens (opens in a new tab)
- Feynman Lectures on Physics Vol. II Ch. 42: Curved Space (opens in a new tab)
- NIST CODATA 2022 — Newtonian constant of gravitation G (opens in a new tab)
- NASA NSSDCA — Sun Fact Sheet (mass, central temperature; Earth comparison) (opens in a new tab)
Source Einstein, A. (1916). Die Grundlage der allgemeinen Relativitätstheorie. Annalen der Physik 354, 769–822.doi.org/10.1002/andp.19163540702 (opens in a new tab)