Indexसापेक्षता और ब्रह्मांडSticker
Relicta
Cosmic Microwave Background / Relic Blackbody Physics
Relicta is a Pixelated Physics law character, one of our relativity and cosmos designs. The cosmic microwave background was released when the universe was about 3000 K; expansion has since stretched it to 2.7 K. This is a 3" × 3" pixel-art sticker. The physics panel below gives the equation, what each symbol means and the sources.
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One equation · 60 seconds · one try · once a day.
Details
Size3″ × 3″
3″ × 3″ kiss-cut sticker.
Shipping
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Returns & replacements21 days
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The physics
The cosmic microwave background is light left over from when the universe became transparent. It has a nearly perfect blackbody spectrum, and its temperature has fallen in proportion to the stretching of space, to about 2.7 K today.
Equations
| Symbol | Meaning | Unit |
|---|---|---|
| \(T(z)\) | temperature of the background radiation at redshift z | \(\mathrm{K}\) |
| \(z\) | redshift (last scattering: about 1090) | \(\mathrm{1}\) |
| \(T_0\) | temperature today (Fixsen 2009: 2.72548 ± 0.00057 K) | \(\mathrm{K}\) |
| \(B_\nu\) | blackbody spectral radiance per unit frequency | \(\mathrm{W·m^{-2}·Hz^{-1}·sr^{-1}}\) |
| \(\nu\) | frequency | \(\mathrm{Hz}\) |
| \(h\) | Planck constant | \(\mathrm{J·s}\) |
| \(c\) | speed of light in vacuum | \(\mathrm{m/s}\) |
| \(k_B\) | Boltzmann constant | \(\mathrm{J/K}\) |
| \(\nu_{\text{peak}}\) | frequency where today's spectrum peaks (on a wavelength axis the peak is at 1.06 mm, a different point) | \(\mathrm{Hz}\) |
Sources
- Penzias & Wilson (1965) A Measurement of Excess Antenna Temperature at 4080 Mc/s, ApJ 142, 419 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 1978 (Penzias and Wilson, cosmic microwave background radiation) (opens in a new tab)
- Mather et al. (1990) A preliminary measurement of the cosmic microwave background spectrum by the Cosmic Background Explorer (COBE) satellite, ApJ 354, L37 (opens in a new tab)
- NobelPrize.org — The Nobel Prize in Physics 2006 (Mather and Smoot, blackbody form and anisotropy of the CMB) (opens in a new tab)
- Fixsen (2009) The Temperature of the Cosmic Microwave Background, ApJ 707, 916 (opens in a new tab)
- Planck Collaboration (2020) Planck 2018 results. VI. Cosmological parameters, A&A 641, A6 (Table 2: z* = 1089.92 ± 0.25) (opens in a new tab)
Source Penzias, A. A.; Wilson, R. W. (1965). A Measurement of Excess Antenna Temperature at 4080 Mc/s. The Astrophysical Journal 142, 419.doi.org/10.1086/148307 (opens in a new tab)