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Graviton Whisper

Quantum Gravity Physics

\[E = hf\]
सामान्य कीमत $21.99 USD
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Meet Graviton Whisper. LIGO hears gravitational waves. If gravity is quantum, those waves are made of gravitons: massless, spin 2. No one has ever detected one, and catching a single graviton may be impossible in practice. On the mug: E = hf, m_g = 0, s = 2. Pixel-art full-wrap black ceramic mug in 11 or 15 oz; equation, symbols and sources in the physics panel below.

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.

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

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The physics

If gravity is quantum, gravitational waves are made of massless spin-2 gravitons with energy E = hf. A 100 Hz wave would carry quanta of about 4×10⁻¹³ eV each. None has been detected.

Graviton Whisper is the quietest particle there may be, and no one has heard her alone.

Einstein's general relativity predicts gravitational waves, ripples in spacetime itself. LIGO detected them directly in 2015, from two merging black holes. If gravity obeys quantum mechanics like the other forces, those waves are made of quanta called gravitons, each carrying energy E = hf. To travel at the speed of light it must be massless, m_g = 0, and the theory makes it spin 2. Matvei Bronstein worked out the first detailed quantum treatment of weak gravity in 1936.

Observations agree so far: LIGO, Virgo and KAGRA find the graviton mass is at most 1.27×10⁻²³ eV/c², and the 2017 neutron-star merger showed gravitational waves and light arrive together.

A worked number: a 100 Hz gravitational wave, in LIGO's band, would come in quanta of hf ≈ 6.6×10⁻³² J, about 4×10⁻¹³ eV. Detecting one single graviton may be impossible in practice. The graviton remains a prediction.

“You hear my chorus,” whispers Graviton Whisper. “Never my voice.”

Equations

\[E = hf\]
\[m_g = 0\]
\[s = 2\quad\text{(if the graviton exists)}\]
Symbols
SymbolMeaningUnit
\(E\) energy of one graviton \(\mathrm{J}\)
\(h\) Planck constant \(\mathrm{J·s}\)
\(f\) frequency of the gravitational wave \(\mathrm{Hz}\)
\(m_g\) graviton mass \(\mathrm{kg}\)
\(s\) spin quantum number \(\mathrm{dimensionless}\)

Source Abbott, B. P. et al. (LIGO Scientific & Virgo Collaborations) (2016). Observation of Gravitational Waves from a Binary Black Hole Merger. Physical Review Letters 116, 061102.doi.org/10.1103/PhysRevLett.116.061102 (opens in a new tab)