Oh-My-God particle

Not to be confused with the "God Particle", or Higgs boson.

The Oh-My-God particle was an ultra-high-energy cosmic ray detected on 15 October 1991 by the Fly's Eye camera in Dugway Proving Ground, Utah, United States.^[1][2][3] As of 2025^[update], it is the highest-energy cosmic ray ever observed.^[4] Its energy was estimated as (3.2±0.9)×10²⁰ eV (320 exa-eV). The particle's energy was unexpected and called into question prevailing theories about the origin and propagation of cosmic rays.

Speed

It is not known what kind of particle it was, but most cosmic rays are protons. If ${\displaystyle m_{\mathrm {p} }}$ is the rest mass of the particle and ${\displaystyle E_{\mathrm {K} }}$ is its kinetic energy (energy above the rest mass energy), then its speed was ${\textstyle {\sqrt {1-[m_{\mathrm {p} }c^{2}/(E_{\mathrm {K} }+m_{\mathrm {p} }c^{2})]^{2}}}}$ times the speed of light. Assuming it was a proton, for which ${\displaystyle m_{\mathrm {p} }c^{2}}$ is 938 MeV, this means it was traveling at 0.9999999999999999999999951 times the speed of light, its Lorentz factor was 3.2×10¹¹ and its rapidity was 27.1. Due to special relativity, the relativistic time dilation experienced by a proton traveling at this speed would be extreme. If the proton originated from a distance of 1.5 billion light years, it would take approximately 1.71 days in the reference frame of the proton to travel that distance.

Collision energy

The energy of the particle was some 40 million times that of the highest-energy protons that have been produced in any terrestrial particle accelerator. However, only a small fraction of this energy was available for its interaction with a nucleus in the Earth's atmosphere, with most of the energy remaining in the form of kinetic energy of the center of mass of the products of the interaction. If ${\displaystyle m_{\mathrm {t} }}$ is the mass of the "target" nucleus, the energy available for such a collision is^[5]

$${\displaystyle {\sqrt {2E_{\mathrm {K} }m_{\mathrm {t} }c^{2}+(m_{\mathrm {p} }+m_{\mathrm {t} })^{2}c^{4}}}-(m_{\mathrm {p} }+m_{\mathrm {t} })c^{2}}$$

which for large ${\displaystyle E_{\mathrm {K} }}$ is approximately

$${\displaystyle {\sqrt {2E_{\mathrm {K} }m_{\mathrm {t} }c^{2}}}.}$$

For the Oh-My-God particle hitting a nitrogen nucleus, this gives 2900 TeV, which is roughly 200 times higher than the highest collision energy of the Large Hadron Collider, in which two high-energy particles going opposite directions collide.^[6][7] As with other cosmic rays, the collision would generate a cascade of relativistic particles as the particles interacted with other nuclei. In the center-of-mass frame of reference (moving at almost the speed of light), the products of the collision, also moving apart at near light speed, would therefore have carried around 2900 TeV of total energy.

Comparisons

The Oh-My-God particle's energy was estimated as (3.2±0.9)×10²⁰ eV, or 51±14 J. Although this amount is phenomenally large for a single elementary particle – far outstripping the highest energy that human technology can generate in a particle – it is still far below the level of the Planck scale, where exotic physics is expected. Though a subatomic particle, its energy was comparable to the gravitational potential energy of a 1 kilogram object that could fall 5 meters off a two-story building.

The Oh-My-God particle had 10²⁰ (100 quintillion) times the photon energy of visible light, equivalent to a 140-gram (5 oz) baseball travelling at about 28 m/s (100 km/h; 63 mph). Its energy was 20 million times greater than the highest photon energy measured in electromagnetic radiation emitted by an extragalactic object, the blazar Markarian 501.^{[8][needs update]}

High energy, but far below the Planck scale

While the particle's energy was higher than anything achieved in terrestrial accelerators, it was still about 40 million times lower than the Planck energy (1.2208901×10²⁸ eV). Particles of that energy would be required in order to expose effects on the Planck scale. A proton with that much energy would travel 1.665×10¹⁵ times closer to the speed of light than the Oh-My-God particle did. As viewed from Earth and observed in Earth's reference frame, it would take about 3.579×10²⁰ years (2.59×10¹⁰ times the current age of the universe) for a photon to overtake a Planck energy proton with a 1 cm lead.^{[citation needed]}

Later similar events

Since the first observation, hundreds of similar events (energy 5.7×10¹⁹ eV or greater) have been recorded, confirming the phenomenon.^[9][10] These ultra-high-energy cosmic ray particles are very rare; the energy of most cosmic ray particles is between 10⁷ eV and 10¹⁰ eV.

More recent studies using the Telescope Array Project have suggested a source of the particles within a 20 degree radius "warm spot" in the direction of the constellation Ursa Major.^[3][10][11]

The Amaterasu particle, named after the sun goddess in Japanese mythology, was detected in 2021 and later identified in 2023, using the Telescope Array observatory in Utah, United States. It had an energy exceeding 240 exa-electron volts (2.4×10²⁰ eV).^[12] This particle appears to have emerged from the Local Void, an empty area of space bordering the Milky Way galaxy.^[13] It contained an amount of energy comparable to dropping a brick from the height of the waist. No promising astronomical object matching the direction from which the cosmic ray arrived has been identified.^[14]

See also

• Greisen–Zatsepin–Kuzmin limit – Theoretical upper limit on the energy of cosmic ray protons
• Ursa Major Cluster – Galaxy cluster of the Virgo Supercluster
• HZE ion – High-energy, heavy ions of cosmic origin
• Solar energetic particles – High-energy particles from the Sun
• Amaterasu particle (2021) – 240 Eev

References

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2. "HiRes – The High Resolution Fly's Eye Ultra High Energy Cosmic Ray Observatory". H i R e s / High Resolution Fly's Eye. University of Utah. The highest energy particle ever recorded. Archived from the original on August 15, 2009. Retrieved February 6, 2024.
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4. O’Callaghan, Jonathan (May 30, 2023). "We are finally closing in on the cosmic origins of the 'OMG particle'". New Scientist. Archived from the original on June 9, 2023. Retrieved June 8, 2023.
5. Holmes S, Moore R, Peoples J, Shiltsev V (May 29, 2014). "Chapter 1. Introduction". In Lebedev V, Shiltsev V (eds.). Accelerator Physics at the Tevatron Collider. Particle Acceleration and Detection. Springer. p. 1. doi:10.1007/978-1-4939-0885-1. ISBN 9781493908851. Retrieved February 6, 2024 – via Google Books.
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7. Nerlich, Steve (June 13, 2011). "Oh-My-God particles". Universe Today. Archived from the original on June 30, 2019. Retrieved June 30, 2019 – via phys.org.
8. Aharonian, F.; et al. (The HEGRA Collaboration) (1999). "The time averaged TeV energy spectrum of Mkn 501 of the extraordinary 1997 outburst as measured with the stereoscopic Cherenkov telescope system of HEGRA" (PDF). Astronomy & Astrophysics. 349: 11–28. arXiv:astro-ph/9903386v2. Bibcode:1999A&A...349...11A. S2CID 15448541. Archived (PDF) from the original on June 19, 2023. Retrieved June 19, 2023.
9. Abdul Halim, A.; Abreu, P.; Aglietta, M.; Allekotte, I.; Allison, P.; Almeida Cheminant, K.; Almela, A.; Alvarez-Muñiz, J.; Ammerman Yebra, J.; Anastasi, G. A.; Anchordoqui, L.; Andrada, B.; Andringa, S.; Aramo, C.; Araújo Ferreira, P. R. (February 1, 2023). "A Catalog of the Highest-energy Cosmic Rays Recorded during Phase I of Operation of the Pierre Auger Observatory". The Astrophysical Journal Supplement Series. 264 (2): 50. Bibcode:2023ApJS..264...50A. doi:10.3847/1538-4365/aca537. hdl:2133/25771. ISSN 0067-0049. S2CID 254070054.
10. Abbasi, R. U.; Abe, M.; Abu-Zayyad, T.; Allen, M.; Anderson, R.; et al. (July 14, 2014). "Indications of intermediate-scale anisotropy of cosmic rays with energy greater than 57 EeV in the northern sky, measured with the surface detector of the Telescope Array Experiment". The Astrophysical Journal. 790 (2): L21. arXiv:1404.5890. Bibcode:2014ApJ...790L..21A. doi:10.1088/2041-8205/790/2/L21. eISSN 1538-4357. ISSN 0004-637X. S2CID 118481211.
11. Cho, Adrian (8 July 2014). "Physicists spot potential source of 'Oh-My-God' particles". Science. doi:10.1126/article.22871 (inactive 1 November 2024). eISSN 1095-9203. ISSN 0036-8075. Archived from the original on 12 April 2022. Retrieved 30 June 2022.
12. Conover, Emily (January 13, 2024). "A high-energy cosmic ray hails from the void". Science News: 5.
13. Devlin, Hannah (November 24, 2023). "'What the heck is going on?' Extremely high-energy particle detected falling to Earth". The Guardian. Archived from the original on November 24, 2023. Retrieved February 6, 2024.
14. "Second OMG cosmic ray particle breaks physics again". Cosmosmagazine.com. November 24, 2023. Archived from the original on November 24, 2023. Retrieved November 24, 2023.