The Silence Beyond
Cosmic Horizon / Observable Limit Physics
The edge of sight is farther away than the universe is old, in light-years. The universe is 13.8 billion years old, yet the particle horizon, the edge of the observable universe, lies about 46 billion light-years away, because space kept expanding while the light travelled. The Silence Beyond on a pixel-art unisex tee; equation, symbols and sources in the panel below.
Size guide S–5XL · inches
Shipping calculated at checkout by destinationMade to order, ships in 2–5 business days
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 |
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
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(d_p\) | proper distance to the particle horizon | \(\mathrm{m}\) |
| \(t_0\) | age of the universe | \(\mathrm{s}\) |
| \(a(t)\) | scale factor | \(\mathrm{1}\) |
| \(c\) | speed of light | \(\mathrm{m/s}\) |
Sources
- Rindler (1956) Visual Horizons in World Models, MNRAS 116, 662 (opens in a new tab)
- Encyclopaedia Britannica — Observable universe (opens in a new tab)
- PDG 2024 review — Big-Bang cosmology (opens in a new tab)
- Hubble (1929) A relation between distance and radial velocity among extra-galactic nebulae, PNAS 15, 168 (opens in a new tab)
- Davis & Lineweaver (2004) Expanding Confusion: Common Misconceptions of Cosmological Horizons…, PASA 21, 97 (opens in a new tab)
- Planck Collaboration (2020) Planck 2018 results VI. Cosmological parameters, A&A 641, A6 (opens in a new tab)