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Cernunnos

Cernunnos is a Celtic god whose name is only clearly attested once, on the 1st-century CE Pillar of the Boatmen from Paris, where it is associated with an image of an aged, antlered figure with torcs around his horns.

Through the Pillar of the Boatmen, the name “Cernunnos” has been used to identify the members of an iconographic cluster, consisting of depictions of an antlered god (often aged and with crossed legs) associated with torcs, ram-horned (or ram-headed) serpents, symbols of fertility, and wild beasts (especially deer). The use of the name this way is common, though not uncontroversial. As many as 25 depictions of the Cernunnos-type have been identified. Though this iconographic group is best attested in north-eastern Gaul, depictions of the god have been identified as far off as Italy (Val Camonica) and Denmark (Gundestrup).

Cernunnos has been variously interpreted as a god of fertility, of the underworld, and of bi-directionality. His cult (attested iconographically as early as the 4th century BCE) seems to have been largely unaffected by the Roman conquest of Gaul, during which he remained unassimilated to the Roman pantheon. Cernunnos has been tentatively linked with Conall Cernach, a hero of medieval Irish mythology, and some later depictions of cross-legged and horned figures in medieval art.

Cernunnos is a Celtic god whose name is only clearly attested once, on the 1st-century CE Pillar of the Boatmen from Paris, where it is associated with an image of an aged, antlered figure with torcs around his horns.

Pillar of the Boatmen

The Pillar of the Boatmen is a Gallo-Roman carved pillardiscovered in 1711 under the choir of Notre-Dame de Paris. It is a religious monument, with depictions of Roman gods (JupiterVulcan, and Castor and Pollux) alongside native Gaulish deities (such as Esus and Smertrios),dedicated by a corporation of boatmen from the city of Lutetia (Roman Paris).The dedication dates it to the reign of Tiberius  (Tiberius was ruler in Rome at the time of Christ’s ministry) (14-37 CE).[1] Legends below the images identify the Roman and Gaulish deities by name. In fact, this is the only monument on which Celtic deities are identified by name with captions.[2]: 67–71
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On one block from the pillar, a frowning, bearded figure is depicted from the shoulder up. His face is human, but his upper head is animal-like: hairless and bulging. Atop his head is a pair of bifid deer’s antlers, with two short, pointed extrusions (perhaps ears or bull’s horns) between them. A torc hangs on each of his antlers. The lower half of the block is lost, but given its original height, the figure could not have been standing. Therefore (in line with other figures identified as Cernunnos) the panel is often believed to have originally shown him cross-legged.[1][3]: 165 

Above the antlered figure is a one-word legend. When information about the pillar was published in 1711, this legend was reported as “Cernunnos”. 

Above the antlered figure is a one-word legend. When information about the pillar was published in 1711, this legend was reported as “Cernunnos”. However, the block is now badly damaged. Many of the letters are only partially visible; the letter “C” is entirely gone.[1] Joshua Whatmough has gone as far as to say that in its present state “only ‘nn’ is certain”.[4]: 517  The reading from 1711 has sometimes been mistrusted. Joseph Vendryes and Whatmough argue (following the Dacia inscription) that it read “Cernennos”.[5]: 335  Françoise Le Roux [fr] was sceptical about the existence of the final “s”.[6]: 324 

Possible other attestations

capital with Gaulish καρνονου or καρνομου

capital found in Aumes, France[a] is inscribed with a short Gaulish text in Greek lettersMichel Lejeune has interpreted this inscription as a dedication to a god καρνονου (translit. karnonou; in English, “Carnonos”), whom he tentatively connects with the god Cernunnos. However, both Lejeune’s reading and his interpretation of this inscription have been contested. Whatmough and D. Ellis Evans prefer the reading καρνομου (translit. karnomou); and Emmanuel Dupraz has argued that the inscription states that an object καρνον (translit. karnon) is being offered, rather than giving the name of a god.[7][8]: 327 

wax tablet from Dacia[b] records a decree of 167 CE dissolving one collegi(i) Iovi Cerneni (“collegium of Jupiter Cernenus”), a funerary association.[9] David Fickett-Wilbar identifies this as a reference to Cernunnos, though he comments that it “tells us nothing about the deity other than his name”.[10]: 80–81  Theodor Mommsen suggested the byname Cerneni derived from the name of nearby Korna,[11] a hypothesis that has been followed my Michael Altjohann.[2]: 70  Le Roux is also sceptical that it is a reference to Cernunnos, as she thinks the interpretatio of Cernunnos as the Roman god Jupiter is unlikely.[6]: 328 

A bronze tabula ansata from SteinselLuxembourg,[c] dating between the late 2nd and early 3rd century CE, is dedicated to one Deo Ceruninco (“god Cerunincus”). Though close in name to Cernunnos, the editors of L’Année épigraphique argue that the form of the name entails that it must be another (probably Treverian) god.[12]

Etymology

The earliest etymology, proposed by Alfred Holder, connected Cernunnos’s name with a Celtic word for horn, a reflex of proto-Indo-European *ḱerh₂- (“horn, hoof”). Hence, Holder analysed the name as “The Horned God”. This etymology has the advantage of a close link with Cernunnos’s iconography. However, Ernst Windisch and Leo Weisgerber pointed out that ablaut form of the proto-Indo-European root in Celtic is *karno[d] rather than *kerno.[6]: 325 [15]: 105 

Weisgerber proposed that the theonym derived from proto-Celtic *kerno (“angle, excrescence”),[e] a reflex of the same proto-Indo-European root.[15]: 106 [14]: 203  Le Roux concurred with Weisgerber; she associated proto-Celtic *kerno with the meaning “top of the head”, and argued that Cernunnos’s name should be interpreted as “the one who has the top of his head like a deer”.[6]: 328–329  Vendryes suggested that the name was cognate with the Old Irish word cern (“hero”).[16]: 162 

Iconography

A large number of images of an antlered figure, similar to that depicted on the Pillar of the Boatmen, have been found. These depict a male figure, often aged, with crossed legs, with antlers atop his head, who is associated with ram-horned (or ram-headed) serpents, torcs, symbols of fertility, and wild beasts (especially deer).[17]: 59–60 [18]: 348  It is conventional to apply to the name of “Cernunnos” to images which fit within this cluster of attributes.[19] At least twenty-five images have been connected with Cernunnos in this way.[f] Some, such as William Sayers and T. G. E. Powell, have questioned whether the name given on the Pillar (which is so rare in epigraphy) is appropriate to apply to these images.[18]: 329, fn 9  Pierre Lambrechts and Michael Altjohann have even argued that no such well-defined cluster of attributes exists in the archaeological record.[21]: 16 [2]: 78 [g]

Distribution and history

The majority of the images identified as of Cernunnos have been found in Gaul, clustered around Paris and Reims. A rock drawing in Valcamonica (LombardyItaly) and the figure on Plate A of the Gundestrup cauldron (found in HimmerlandDenmark) are conspicuous geographic exceptions.[10]: 82–83  Engraved onto a rock at the prehistoric site of Val Camonica is a tall figure with antlers atop is head, arms in orans position, and a torc around his right arm. Besides him, on his right, are a ram-horned serpent and a smaller man (ithyphallic, arms in orans position).[20]: 839  The detailed scene on Plate A of the Gundestrup cauldron has Cernunnos cross-legged, wielding a torc in one hand and a ram-horned serpent in the other. Around him are many animals: two bulls, a stag, a dolphin with a rider, griffins, and a hyena.[20]: 839–840 [21]: 19  The provenance and date of the Gundestrup cauldron have been the subject of much debate.[20]: 842  Cernunnos has been tentatively connected with images over a large geographical range, including Britain, Spain, Austria, Slovenia, and Romania.[2]: fn 32 

The God of Bouray: a rare pre-Roman depiction of a Gaulish god. Cross-legged and hooved, the relationship of this Gaulish god to Cernunnos is uncertain.

The earliest datable representations of Cernunnos in Gaul date, like the Pillar of the Boatmen, to the reign of Tiberius (i.e., 14-37 CE);[15]: 104  the latest to the 3rd century CE.[20]: 842  The archaeological evidence for images of deities in Gaul is scant before the Roman conquest.[23]: 205  The God of Bouray, a bronze statuette probably produced not long before the Roman conquest, depicts a Gaulish god with crossed legs and hooves. The relationship of this god with Cernunnos is uncertain.[24]: 231 [21]: 33–34 

Outside of Gaul, much earlier representations of Cernunnos are known.[17]: 59  The drawing from Valcamonica dates to 4th century BCE. José Maria Blázquez has argued that a painted vase, dating to the 2nd century BCE, from the Celtiberian site of Numantia, gives another early representation of Cernunnos.[20]: 839  The Gundestrup cauldron, of either Thracian or Celtic work, has been assigned to dates within a large range (from 200 BCE to 300 CE).[25]: 53 

After Christianisation, images of Cernunnos were the subject of iconoclastic destruction. A statue of Cernunnos from Verteuil (Charente, France) was beheaded[26]: 249  and the horns of Cernunnos on the Reims altar seem to have been purposefully chipped off.[26]: 244 

Some scholars (such as Duval and Bober) have suggested that Cernunnos’s distinctive iconography persisted into the medieval period.[27]: 121 [21]: 44  Cernunnos has been seen on Christian monuments from Ireland, such as the north cross at Clonmacnoise, the market cross at Kells, and a stele at Carndonagh.[28]: 32  The figure identified as Cernunnos on the 9th-century Clonmacnoise north cross appears to have horns and crossed legs; Fickett-Wilbar argues that these are misidentified ornamental motifs.[10]: 85  On the Continent, Cernunnos has been seen in the Stuttgart Psalter and on a capital of Parma Cathedral.[27]: 121  A leaf from the c. 820 Stuttgart Psalter depicts the Descent into Limbo, with a devil figure (perhaps Hades) whom Bober identifies as of the Cernunnos-type, “complete with cross-legged posture, antlers, and even a ram-headed serpent”,[21]: 44  though J. R. M. Galpern identifies the features on the devil’s head as wings, and connects them with motifs from Late Antique and Roman funerary art.[29]: 254 

Attributes and associations

A seated figure from Roquepertuse

The cross-legged pose of Cernunnos has occasioned much comment. Elaborate diffusionist theories have been proposed to explain the origin of this particular motif.[21]: 22–25  A popular theory proposes that the pose represents the transmission of a Buddhist motif (the lotus pose) from India via Greco-Egyptian work.[20]: 842  Against a diffusionist hypothesis, Robert Mowat argued that this pose reflected the normal sitting position of the Gauls; he cited the testimony of Strabo and Diodorus that the Gauls sat on the floor for meals.[10]: 92 [21]: 21  In religious iconography, the position does not seem to have been exclusively associated with Cernunnos. Statues from the pre-Roman Gaulish sanctuary of Roquepertuse assume the same pose; though clearly of religious significance, they are not representations of Cernunnos.[20]: 842  Representations of Cernunnos standing are known (such as the early example from Val Camonica).[20]: 839 

Cernunnos is often depicted with torcs adorning his body. Most commonly he grasps one, and wears another around his neck. Sometimes he holds another on his chest.[20]: 843  The torc is a ubiquitous feature of Celtic art and garb. They seem to have been a symbol of religious significance in Celtic art and, after the Roman conquest, perhaps a symbol of native identity.[26]: 81 

Ram-horned serpent on the Gundestrup cauldron (plate C)

The ram-horned (or ram-headed) serpent is a hybrid beast peculiar to the Celts.[27]: 38  The creature, which is associated with Cernunnos early as Val Camonica, appears to have had a significance independent of Cernunnos. In Gaul, ram-horned serpents are depicted alone or accompanying Mars or Mercury. Ram-horned serpents also feature on two other plates of the Gundestrup cauldron (C and E). Cernunnos is also sometimes accompanied by serpents without the attributes of a ram, as on the Vendœuvres relief.[20]: 843  The ram-horned serpent has been suggested to have a chthonic significance.[21]: 26 

Some scholars, such as Miranda Green, have connected Cernunnos with the Lord of the Animals motif through such depictions as the Gundestrup cauldron, where Cernunnos is placed centrally around a number of animals.[21]: 19 [30]: 93–94  The closest parallel to the Gundestrup scene is given on the Lyon cup, where Cernunnos is surrounded by a deer, a hound, and a (hornless) snake.[10]: 87 

On various depictions, Cernunnos is associated with other deities. The significance of these associations is unclear.[20]: 843  On three depictions, Cernunnos is paired with Mercury and Apollo; on the Lyon cup, he is paired with Mercury alone. Cernunnos is also depicted twice with Abundantia, Roman god of prosperity, and twice with Hercules.[10]: 102 [20]: 841  Three images of Cernunnos (among them, the Condat tricephal and Étang-sur-Arroux statuette) give Cernunnos three heads or faces.[20]: 844  Bober argued that these images represent the syncretisation of Cernunnos with the (poorly understood) tricephalic god of Gaul.[21]: 34 

Interpretation

Because of his persistent association with the natural world (for example, on the Gundestrup cauldron, where he is surrounded by various beasts), some scholars describe Cernunnos as the lord of animals or wild things.[10]: 80  Miranda Green describes him as a “peaceful god of nature and fruitfulness”.[24]: 228 

Cernunnos is also associated with fertility and fecundity.[10]: 80  Blazquez points out that the stag is a symbol of fertility across the Mediterranean.[20]: 843  The association of Cernunnos with fertility is emphasised by other attributes. He is variously provided with a basket of fruit (as on the Étang-sur-Arroux statuette), a cornucopia (as on the Lyon cup), and a bag of coins (as on the Reims altar).[20]: 843 

It has been suggested that Cernunnos carried a chthonic significance.[20]: 843  Bober’s study of the god concluded that Cernunnos was god of the underworld.[10]: 80  She analyses the ram-horned serpent as the synthesis of two animals (the snake and the ram) of chthonic significance to the Celts.[21]: 26–27  The rat above Cernunnos on the Reims altar and the association of Cernunnos with Mercury (guide of souls to the underworld) on several representations have also been thought to suggest an association with the underworld.[20]: 843 

Fickett-Wilbar, in a recent study, has proposed that Cernunnos was a god of bi-directionality and mediator between opposites.[10]: 108 

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China plans ‘paradise for physicists’ with particle colliders that will test the strongest forces in the universe

  • Guangdong becomes focus as China races the US to build bigger particle accelerators
  • Scientist says the competition between the two countries will ultimately be for the good of the human race
An artist’s impression of the proposed electron-ion collider facility in Huizhou. Photo: Institute of Modern Physics, Chinese Academy of Sciences

Scientists in southern China are planning to create machines that will be used to unravel the mysteries of the building blocks of the universe.

They said two ring-shaped electron-ion colliders – one 2km (1.2 miles) long – will be built in Huizhou, a city in Guangdong province, beginning in 2025 and they will be designed to accelerate electrons to close to the speed of light.

The project – known as the Electron-Ion Collider of China, or EICC – will see electrons being fired at the nuclei of heavy elements such as iron or uranium at high speeds.
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CERN Wants to Build an Enormous New Atom Smasher: the Future Circular Collider

A schematic map showing a possible location for the Future Circular Collider (Image: CERN)

One of my favourite science and engineering facts is that an underground river was frozen to enable the Large Hadron Collider (LHC) to be built! On its completion, it helped to complete the proverbial jigsaw of the Standard Model with is last piece, the Higgs Boson. But that’s about as far as it has got with no other exciting leaps forward in uniting gravity and quantum physics. Plans are now afoot to build a new collider that will be three times longer than the LHC and it will be capable of smashing particles together with significantly more energy. 

In the past few decades, particle colliders have become a key tool for unraveling the mysteries of the universe at the fundamental level. The Large Hadron Collider (LHC), was a game changer and, with an amazing 27km circumference became the world’s most powerful collider. There are now plans to increase the number of collisions to try and improve its input to understanding the Universe but even with this ‘High Luminosity’ phase, CERN (European Council for Nuclear Research) wants to go even further and build a new collider!

If colliders like LHC are to play a part in high energy physics over the coming years then energy thresholds need to pushed beyond current capabilities. The Future Circular Collider (FCC) study has looked into various collider designs, envisaging a research infrastructure housed within a 100km underground tunnel. This ambitious project is promising a physics program that will take high energy research into the next century. 

There are a number of challenges that face the design and engineering of the new tunnel however; it must steer clear of geologically interesting areas, optimise future collider efficiency, allow for connectivity with the LHC, and adhere to social and environmental impacts of the surface buildings and infrastructure. Choosing ‘where to put it’ seems to be quite the challenge so a range of layout options are being considered, guided by CERN’s intent to avoid the impact on the area.

Within the FCC tunnel (which looks like it will be placed beneath ring-shaped underground tunnel located beneath Haute-Savoie and Ain in France and Geneva in Switzerland) will be two colliders that will work together sequentially. The first phase is scheduled for inauguration around mid-2040s and comprises an electron-positron collider (FCC-ee). The hope is that it will give unparalleled precision measurements and unveil physics beyond the standard model. Following hot on its heels will be the proton-proton collider (FCC-hh) which will surpass the energy capability of LHC eightfold!

It’s an exciting prospect that FCC will push particle collision to energies of 100 TeV in the hope of uncovering new realms of physics. To achieve the goal however, new technological advances will be required and to that end, over 150 universities from around the world are exploring the options. 

Source : Feasibility Study into new Super Collider

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Colliding muon beams generate a muon and an electron—possible signals of a Higgs boson decay—amid copious background particles (gray) in a simulation. Lawrence Lee and Charles Bell/University of Tennessee, Knoxville

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A version of this story appeared in Science, Vol 383, Issue 6690.Download PDF

Young people supposedly enjoy the luxury of time, but perhaps not if they’re particle physicists. For decades, physicists have peered into the universe’s inner workings by smashing subatomic particles together at ever higher energies. But the next highest energy collider may not be built for 50 years. And Tova Holmes, 34 and a particle physicist at the University of Tennessee, Knoxville, worries her career could slip away before she ever sees such a machine. “I will be definitely not still working, possibly not alive,” Holmes says.

That’s one reason she and dozens of her contemporaries are pushing to develop an exotic new collider. The current highest energy atom smasher, the 27-kilometer-long Large Hadron Collider (LHC) at the European particle physics laboratory, CERN, fires protons into protons. In 2012 it discovered a long-sought particle called the Higgs boson in the field’s greatest triumph. CERN is now hoping to build a much bigger, higher energy proton collider, nearly 100 kilometers around—but not until 2070 or 2080. So Holmes and others want to explore an alternative: a collider that would smash energetic muons, heavier cousins of electrons, into equally energetic antimuons.

A muon collider could be much smaller and cheaper than a functionally equivalent proton collider, advocates say. It could fit on the 2750-hectare campus of the United States’s dedicated particle physics lab, Fermi National Accelerator Laboratory (Fermilab), enabling the U.S. to reclaim the lead in the continuing competition for the highest energy collider. Most important, younger physicists say, it might be built sooner than a more conventional competitor, perhaps in as few as 25 years. “If you want you can add 10 years to that, that’s still a lot better than when I’m dead,” Holmes says.

There’s just one catch: Nobody knows whether a muon collider can actually be built. That’s because unlike the proton or the electron, the muon isn’t eternal, but decays in just a fraction of a second. “The challenge, if you want to capture it in one word, is that the muon is unstable,” says Sergo Jindariani, a particle physicist at Fermilab. “So every stage of acceleration has to be incredibly fast.” From generating the muons, to gathering them into compact beams, to detecting the particles produced in their collisions, the machine presents novel technological challenges.

Nevertheless, some physicists, especially in the U.S., are eager to tackle the task. In December 2023, a federal advisory subcommittee called the Particle Physics Project Prioritization Panel (P5) laid out a road map for the next decade of research in the U.S. The P5 report calls for R&D on a muon collider, stating, “This is our muon shot.” But what exactly are physicists shooting for and what obstacles must they overcome to realize their dream machine?

As Albert Einstein observed, energy equals mass. So, by smashing subatomic particles together at high energies, physicists can blast out new particles—fleeting, massive entities not seen since the big bang. By creating them and watching them decay, they have pieced together a theory of fundamental particles and forces called the standard model.

The theory includes the four types of particles in ordinary matter: the electron, which whirls around the atomic nucleus; the electron neutrino, which emerges in a type of nuclear decay; and the up quark and the down quark, which bind in trios to form the protons and neutrons in atomic nuclei. Two sets of similar but heavier particles can pop into brief existence: the muon, muon neutrino, charm quark, and strange quark; and the tau, tau neutrino, top quark, and bottom quark.

The standard model describes how these particles and their antiparticles interact through three forces: electromagnetism, the strong nuclear force that binds quarks, and the weak nuclear force that enables quarks and other particles to decay and change type. (The theory ignores gravity.) The forces emerge as the matter particles exchange other particles. The electromagnetic force is conveyed by the photon, the strong force by the gluon, and the weak force by particles called the W boson and Z boson. The Higgs boson completes the theory by helping give the other particles mass.

Physicists worked out much of this with colliders, typically circular accelerators that send beams of electrically charged particles racing in opposite directions at near–light-speed to smash them together. One type fires electrons into their antimatter counterparts, positrons, but these e+e colliders struggle to reach high energies. That’s because charged particles radiate x-rays as they circulate, and less massive particles radiate more than heavier ones. With a mass just 0.05% as big as that of a proton, electrons radiate strongly enough to limit their energy. At some point, a circular e+e collider becomes like a leaky bucket, losing energy as fast as it is pumped in.

  


An accelerating cavity for the now-defunct Muon Ionization Cooling Experiment, which partially demonstrated technologies needed to make a muon beamReidar Hahn/Fermi National Accelerator Laboratory

To reach higher energies, physicists usually build bigger, more powerful hadron colliders that smash protons into either protons or antiprotons. But hadron colliders have limitations, too. A proton is a bundle of quarks and gluons, so when two protons strike each other, just a single constituent in each is likely to collide directly, converting less than 10% of the protons’ energy into new particles and reducing the machine’s energy advantage. The remaining fragments of the protons also generate sprays of extraneous particles. In contrast, an electron-positron collision consumes the colliding particles’ full energy and produces no extraneous sprays, so physicists often use an e+e collider to scrutinize the new particles discovered at a hadron collider.

For example, in 1983 CERN physicists used a proton-antiproton collider with an energy of 540 gigaelectron volts (GeV) to discover the W and Z bosons. CERN then bored the 27-kilometer tunnel on the border of Switzerland and France to build the Large Electron-Positron collider, which enabled researchers to study the W and Z in detail and deduce that there are most likely just three generations of matter particles. Then, in the same tunnel, CERN built the LHC, designed to smash protons at 14 teraelectron volts (TeV). It found the Higgs.

That discovery neatly completed the standard model but left physicists vexed. The theory has obvious shortcomings—for example, it doesn’t include dark matter, the mysterious stuff thought to make up 85% of the universe’s matter. Researchers hoped the LHC would cough up other new particles that would lead to a deeper understanding. But so far, it has turned up nothing more.

So CERN plans a similar progression of bigger machines after the LHC shuts down in 2041. For 15 billion Swiss francs—roughly $17 billion—the lab envisions digging a 91-kilometer-long tunnel and installing an e+e ring called the Future Circular Collider-ee (FCC-ee) that would run at 350 GeV, the likely limit for such a machine. To be built by the mid-2040s, it would examine the Higgs as the LHC cannot. Thirty years later, CERN would replace it with a 100-TeV hadron collider called the FCC-hh that would seek new particles and could cost $50 billion.

However, a muon collider might combine the strengths of hadron and e+e colliders— and be faster and cheaper to build. With a mass 207 times an electron’s, a muon radiates far less energy as it goes in circles, so a muon collider could reach much higher energy than a circular e+e machine. At the same time, muons are fundamental particles that put all their energy into a collision, enabling a muon collider to compete with a hadron collider running at 10 times the energy. So the muon collider could be much smaller and, hence, cheaper. A 10-TeV muon collider could be had for $18 billion, advocates estimate.

The concept of a muon collider dates back decades, and in 2010 Fermilab launched a program to develop it. However, 6 years later, the Department of Energy, which funds most U.S. particle physics research, stopped the program to direct resources to another experiment: a $3.3 billion project, currently under construction, to shoot a beam of muon neutrinos from Fermilab in Illinois to a gigantic subterranean detector in South Dakota. The aborted muon collider effort was more popular with accelerator experts than particle physicists, says Diktys Stratakis, an accelerator physicist at Fermilab who took part in it. “We had a very nice product, but we didn’t have any customers,” he says.

That has changed, Stratakis says. “Now we have a lot of customers coming to us and saying, ‘Hey, can you build a collider with these parameters?’”

One reason is the realization that, technologically, building the FCC-hh will be “a lot more difficult than people thought,” says Hitoshi Murayama, a theorist at the University of California (UC), Berkeley who chaired the recent P5 team. For example, the machine would need steering magnets with fields of 16 tesla—33% higher than the current state of the art and likely unobtainable for 20 years, Murayama says.

At the same time, physicists also feel a new urgency to reach higher energies. That’s because of all that the LHC has not found—at least, so far. No particles of dark matter, the unseen stuff whose gravity holds galaxies together. No mini–black holes. None of particles predicted by supersymmetry, a concept that posits a more massive “superpartner” exists for every particle in the standard model. “If many new things had been discovered at the LHC, we would really want to study them with high precision and maybe not worry too much about going to higher energy,” says Rachel Yohay, an experimentalist at Florida State University who works on an LHC experiment. “Since we haven’t, there is a lot of interest to explore higher energies.”

A smashing idea

A muon collider would smash high-energy muons—heavier, unstable cousins of electrons—into their antiparticles in two huge particle detectors. In its ability to blast out massive new particles, it should rival a more conventional proton collider running at an energy 10 times as high. It would also be smaller and potentially much cheaper—if it can be built. To make a muon collider, physicists will have to generate muons, wrangle them into compact beams, and smash them together in the few milliseconds before the particles decay. They’ll also have to cope with radiation emanating from the muon beams.

Image: An illustrated graphic showing the theoretical structure of a muon collider.

  1. Making muons. Protons (p+) fired into a graphite target would generate negatively charged pions (p), which would decay in flight to make negatively charged muons (m). The collisions would also yield positive pions (p+), which would decay into positively charged antimuons (m+).
  2. Bunching them into beams. The muons would pass through a material such as liquid hydrogen and lose energy as they ionize the atoms. The loss would make them swirl in a magnetic field in ever-tighter spirals while RF cavities would accelerate them in one direction, forming a compact beam. Realizing such ionization cooling may be physicists’ biggest challenge.
  3. Sifting through the shards. A pair of massive particle detectors would look for new particles produced in the muon collisions and instantly decaying into more familiar ones. Each detector would comprise the usual subsystems, but would also possess special shields to tamp down the radiation emanating from the muon beams.
    Piercing the haze. Within each detector, two cones of tungsten would surround the beam pipe to screen out the electrons and positrons generated by decaying muons. Those particles would spiral into the tungsten to produce low-energy neutrons and photons that should be relatively easy to distinguish from the desired quarry: particles produced by high-energy muon collisions.
A. Fisher/Science

Perhaps most important, some physicists say a muon collider would be the best tool to address the pressing questions raised by the discovery of the Higgs. The particle is part of a concept called the Higgs mechanism that was added to the standard model in the 1970s to explain an abstruse but important puzzle. Mathematical symmetries within the standard model suggest the weak and electromagnetic forces are different aspects of a single “electroweak” force. Yet the electromagnetic force can, in principle, reach across the universe, whereas the weak force doesn’t even reach across a nucleus.

Physicists had a standard explanation for the disparity. The electromagnetic force is long range because the photon has no mass, and the weak force is short range because the particles that convey it, the W and Z, are massive. But there was a catch. In the standard model, simply plugging in the W and Z masses ruins the mathematical symmetry that produces the weak force in the first place. So those masses have to emerge in some less direct way.

Enter the Higgs mechanism. It assumes the vacuum of empty space contains a Higgs field, like an electric field that never switches off. The otherwise massless W and Z interact with it to acquire energy and, hence, mass. The field consists of Higgs bosons lurking “virtually” in the vacuum.

But why does the Higgs field persist? The standard model assumes the field interacts with itself in a particular way that ensures its energy is lowest when, instead of vanishing, it has some nonzero strength. But nobody knows whether that assumption is right, says Nathaniel Craig, a theorist at UC Santa Barbara. “We know the Higgs field has this background value everywhere in space, but we don’t really know why.”

To probe how the Higgs field interacts with itself, scientists need collisions that produce multiple Higgs bosons. The LHC already detects the occasional Higgs pair and should see more after it is upgraded in 2026–29 to quintuple its collision rate. CERN’s planned FCC-ee would see still more. But researchers would need to spot at least a few events with three or four Higgs particles, which would require a higher energy machine. For that task a 10-TeV muon collider might have an edge over a 100-TeV proton collider.

That’s because colliding protons almost always shred each other through a strong-force interaction, which will rarely produce a Higgs. Muons interact through just the electromagnetic and weak forces, so their collisions are more likely to produce the prized events. A muon collider’s ability to more clearly probe Higgs physics sets it apart, says Donatella Lucchesi, an experimentalist at the University of Padua and Italy’s National Institute of Nuclear Physics. “This is an opportunity that we should not miss, it is super important.”

A muon collider’s sensitivity to weak interactions could also help it stalk other quarry, such as dark matter. Theorists have long thought the stuff might consist of heavy particles that interact only through the weak force, but experimenters have yet to detect such weakly interacting massive particles (WIMPs). A muon collider could produce WIMPs too massive and too weakly interacting to be seen in current searches at the LHC or in sensitive detectors underground, Craig says.

The machine might even put supersymmetry to the acid test. The decades-old concept could explain many things, such as where WIMPs come from, but its main job is to solve a more abstruse problem. Quantum mechanics predicts that known kinds of particles should fleetingly emerge from the vacuum around the Higgs and interact with it to make it hugely massive. That doesn’t happen and physicists don’t know why. Supersymmetry provides an answer. Its “central prediction” is that the Higgs has weakly interacting superpartners of modest mass that counteract that effect, Craig says, and a muon collider would be ideally suited for hunting them.

But can one actually be built? A muon collider would consist of familiar accelerator parts: so-called RF cavities resonating with radio waves to accelerate the particles, and magnets to steer and focus the beams. But it would have to work incredibly quickly because the muon is so short lived. Sitting still, a muon decays into an electron, a neutrino, and an antineutrino in 2.2 microseconds. High-energy muons traveling at near–light-speed endure longer, for milliseconds, because of the time dilation predicted by Einstein’s theory of relativity. But that’s still just a blink of an eye.

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The challenge, if you want to capture it in one word, is that the muon is unstable.
  • Sergo Jindariani
  • Fermi National Accelerator Laboratory

The clock would start when physicists generate the muons. They would fire a proton beam into a target to produce particles called charged pions, which, swirling in a magnetic field, would decay into muons. The same technique already generates neutrinos for other experiments. But a muon collider would require a target that could handle a proton beam with several megawatts of power.

The muons would emerge in a cloud centimeters wide. To herd them into a beam a few micrometers across, they would pass through a low-density material such as lithium hydride or liquid hydrogen. Still swirling in a horizontal magnetic field, the muons would ionize atoms in the material, dissipating energy and quelling their buzzing about. An RF cavity would accelerate the muons into the next cooling cell. That could be tricky, because RF cavities typically don’t work well in magnetic fields.

Next, two or more circular accelerators known as synchrotrons would boost the beams of muons and antimuons to their final energy. As the particles in a synchrotron gain energy, the fields generated by the steering magnets need to ramp up in synchrony to keep the particles on a circular path of a fixed radius. At the LHC that process takes 20 minutes. In contrast, to keep replenishing its beams, a muon collider would require synchrotrons that could cycle a blinding 400 times per second.

Finally, the beams would pass into a smaller accelerator called a storage ring, which could be as little as 10 kilometers long—petite compared with the LHC. Within it, one bunch of muons and one bunch of antimuons would circulate at fixed energy in opposite directions, colliding in the hearts of two detectors on opposite sides of the ring. A smaller ring provides an obvious benefit, says Stephen Gourlay, an accelerator physicist at Fermilab. “You get more turns before the muons disappear.”

The machine’s various components would push the frontiers of magnet technology, Gourlay says. “This machine is a magnet builder’s dream—or nightmare.” For example, the magnets in the rapid cycling synchrotrons must change fields by several tesla almost instantly. That process would not only exert enormous mechanical stresses on the magnets, it would also require safely shunting tens of gigawatts of power in and out of them with exquisite efficiency, Gourlay says.

Physicists will have to shield the machinery from the electrons and positrons gushing from the beams as the muons decay. Doing so is especially complicated in the detectors, as physicists must take care not to block the particles they want to observe—those coming from the muon collisions. To deal with the extraneous decay particles, a cone of tungsten would surround the beam pipe on either side of the collision point in each detector. Electrons and positrons striking the cone would convert mostly to low energy photons and neutrons, which are easier to distinguish from the desired signals.

Decaying muons also radiate energetic neutrinos, creating a novel radiation safety challenge. Shooting horizontally from the collider ring, these elusive particles would zip through the earth and emerge dozens of kilometers away. A few would strike atomic nuclei in the soil and change back into muons, which could emerge from the ground as potentially dangerous radiation. The neutrinos can’t be blocked, but digging the collider’s tunnel deeper would allow them to spread more and lower the intensity of muon radiation. Building the collider on movable mounts so the orientations of its sections could be gradually changed would also help, Stratakis says, by limiting the radiation dose at any one place.

Developers’ biggest challenge may be proving ionization cooling works. “The things that have never been done before get the highest priority because there’s the greatest chance of a surprise,” says Mark Palmer, an accelerator physicist at Brookhaven National Laboratory who headed Fermilab’s previous muon collider effort. In 2020, the International Muon Ionization Cooling Experiment at the United Kingdom’s Rutherford Appleton Laboratory showed individual muons spiraled through a cooling cell as predicted. But it did not show that the process could actually cool a muon beam, Palmer says.

Facing so many unknowns, U.S. physicists are not clamoring to start planning such a project now, as some press reports have suggested. Instead, they simply want support for basic R&D, says Patrick Meade, a theorist at Stony Brook University. “In the U.S., the zeroth-order thing is getting permission to do any research in this direction.”

Physicists envision 7 years of research at an annual cost of a few million dollars to determine what kind of demonstration project—perhaps a prototype cooling channel—would best prove a muon collider is feasible, Stratakis says. They would then spend a decade and $100 million or more building and running a demonstrator, with the aim of deciding by 2040 whether to go on to build a collider, he says.

Others are musing about muons, as well. In 2021, CERN started the International Muon Collider Collaboration (IMCC), which U.S. researchers hope to join. As for who might host a muon collider, “the goal is to hold off on that decision until the moment when funding agencies put money on the table,” says Daniel Schulte, a CERN accelerator physicist and leader of the 200-member IMCC.

Will supporters get that far? “In Europe the muon collider is something like a plan B,” Schulte says. And CERN could soon opt for the first step in plan A: the FCC-ee. In an online press conference in February, CERN Director-General Fabiola Gianotti said the lab hoped to decide by 2028 whether to build that machine, noting a muon collider is “not on the same timescale.”

Nevertheless, the idea of a muon collider continues to fascinate some physicists, especially younger researchers. Lucchesi says she can more readily find graduate students to work on the concept than to join ongoing experiments at the LHC. What’s compelling isn’t “something that you do for the fourth or fifth time just to improve the errors,” she says. “What is attractive is something new.”

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Starts With A Bang — 

Ask Ethan: Could we build a collider bigger than Earth?

The largest particle accelerator and collider ever built is the Large Hadron Collider at CERN. Why not go much, much bigger?
Particle accelerators can either be linear, where magnets collimate beams of particles while electric fields accelerate them, or circular, where bending electromagnets recirculate particles as electric fields kick them to higher and higher energies with each pass. Although all particle accelerators to date have been built on Earth, ones larger than Earth may someday be constructed in space.
Credit: Jim Gensheimer, Greg Stewart/SLAC National Accelerator Laboratory
Key Takeaways
  • If you want to collide the largest number of particles at the highest possible energies, you’ll want to build a circular particle accelerator and collider: similar to the Large Hadron Collider (LHC) at CERN. 
  • The LHC is the largest particle accelerator ever built on Earth, with a circumference of around 27 kilometers. However, we can imagine building far larger ones, including ultimately, around the equator of Earth itself. 
  • However, some have envisioned even grander particle accelerators, which could reach the most extreme energies of all-time, by building them in space. We’d gain so much, but is it truly feasible?
The Large Hadron Collider (LHC) is the largest, most powerful particle accelerator ever built on Earth. Accelerating protons up to energies of ~7 TeV apiece — to energies about 7000 times greater than their rest-mass energy as given by E=mc² — it smashes protons circulating clockwise with protons circulating counterclockwise into one another at specific collision points, where giant detectors then measure the debris emerging from those collisions and attempt to reconstruct them in an effort to probe fundamental physics. After announcing the discovery of the Higgs boson in 2012, it continues to probe the subatomic universe to the highest precisions of all-time.
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But in order to push the frontiers of physics even further, a new, more powerful machine will be required: a future particle collider. Although there are four main concepts currently being considered, there are many who ultimately hope for a particle accelerator the size of Earth, or even greater. That’s what Gary Camp has been thinking about, as he writes in to ask:

“Since bigger is better (so far) I am toying with the idea of a collider that circles the Earth. Many advantages are there as well as problems. If you can make a sun shade efficient enough, there is little need for cryogenic cooling of magnets since space is very cold without the sun. Earth magnets need to be quite strong due to the tight radius of the collider but much smaller in Earth’s orbit. Solar power may be enough to power each magnet or it may be necessary to use the new small modular Nuke generators which might be made more cheaply in quantity and perhaps less shielding required. DOD might want to contribute to the development as they want that portable/remote generator badly.”

There are a great many reasons to want to build a collider either around the Earth or in space, but “cheaper” isn’t one of them. Here’s what we should all be considering when it comes to particle accelerators.

  

The particle tracks emanating from a high energy collision at the LHC in 2012 show the creation of many new particles. By building a sophisticated detector around the collision point of relativistic particles, the properties of what occurred and was created at the collision point can be reconstructed, but what’s created is limited by the available energy from the kinetic energy of the colliding particles, with new particles capable of being created from that available energy, limited by Einstein’s E = mc². The maximum LHC energies are nearly a factor of a trillion (10^12) lower than the energies present at the start of the hot Big Bang.
Credit: Panos Charitos/Wikimedia Commons user PCharito

Although we might not think about it this way, all particle accelerators begin with plain old particles at rest: particles that are bound together conventionally, in the form of atoms. We then take a successive series of steps to accelerate them up to high energies and relativistic speeds, which generally include:

  • ionizing the original (normally, hydrogen) atoms, breaking them up into electrons and nuclei (typically, single protons),
  • subjecting those particles to a strong electric field, which accelerates them since they’re charged particles,
  • using electromagnets to collimate these now faster-moving particles, creating a “beam” out of them,
  • and then using electric fields to accelerate these now-collimated particles up to the highest energies we can muster.

What’s vitally important to keep in mind is that there are only two collider layouts that can efficiently get you to the highest energies. Either you can build a linear collider based on light particles, like electrons and positrons, where you built a long “track” with a continuous electric field to reach the greatest possible energies by the time you arrive at the collision point, where your detector is then built, or you build a circular collider, which recirculates the particles — either electrons-and-positrons, protons-and-protons, or other leptons or hadrons — both bending them and periodically “kicking” them to higher energies, continuously, until they’re ready to collide.

This reconstruction of particle tracks shows a candidate Higgs event in the ATLAS detector at the Large Hadron Collider at CERN. Note how even with the clear signatures and transverse tracks, there is a shower of other particles; this is due to the fact that protons are composite particles, and due to the fact that dozens of proton-proton collisions occur with every bunch crossing. At higher energies, discoveries that don’t appear at lower energies become possible. Modern particle detectors are like a layer-cake, with the ability to track the particle debris in order to reconstruct what happened as close to the collision point as possible.
Credit: CERN/ATLAS Collaboration

Why is this important to keep in mind? Because, for circular colliders, which are the only realistic option for bringing particles with heavy rest masses up to very high energies, this means we can’t use permanent, fixed magnets to bend these particles, but must instead use electromagnets.

This is a very important consideration when it comes to the design of a particle accelerator. If you want to bend a charged particle into a circular path, the best tool we have for that is a magnetic field: electrically charged particles in motion will be bent into a circular path by a magnetic field that’s perpendicular to the particle’s motion. When the particles first enter the circular accelerator, however, they’re not all the way up at their maximum speed just yet; they’re moving much slower and at much lower energies than that, as they’re “only” at whatever energy they were accelerated up to prior to being injected into the main, final accelerator ring.

That means you need to start off with a relatively low magnetic field, and then each time you kick the accelerated particles up to higher and higher energies, you need to increase the strength of the magnetic field to keep that particle bending in a circle of constant radius. At greater and greater energies, you need stronger and stronger magnetic fields to keep that particle confined within that ring, otherwise it will simply smash into the accelerator walls.

      

Deep underground, this tunnel is part of interior workings of the LHC, where protons pass each other at 299,792,455 m/s while circulating in opposite directions: just 3 m/s shy of the speed of light. Particle accelerators like the LHC consist of sections of accelerating cavities, where electric fields are applied to speed up the particles inside, as well as ring-bending portions, where magnetic fields are applied to direct the fast-moving particles toward either the next accelerating cavity or a collision point.
Credit: Maximilien Brice and Julien Marius Ordan, CERN

At CERN, at Fermilab, and at other circular accelerators, this has been the preferred design of the particle accelerator for many decades. You use smaller accelerators, either circular or linear or a combination of both, to prepare bunches of particles that are:

  • high in number and in number density,
  • collimated together as tightly as possible,
  • and injected into the main accelerator ring at the highest initial energies possible,

before they’re brought up to the highest final energies just before they’re collided with particles circulating within the same ring in the opposite direction.

Electromagnets are a key tool in all circular particle accelerators, as the bending magnets keep the particles moving in the exact circular path required, while collimating electromagnets (e.g., quadrupole and octupole electromagnets) prevent those particles — which, remember, there are many of and are all of the same electric charge — from repelling one another so significantly that they’d spread out and crash into the accelerator walls. Meanwhile, an applied electric field, often leveraged during an inserted “straight” segment of the accelerator, will give a “kick” to each of these particles whenever they pass through it, speeding them up just a tiny bit closer to the speed of light and bringing them up to higher and higher energies.

A series of infrastructure upgrades, some of which have already taken place and others which are still to come later this decade, will transform the LHC into the HL-LHC: the high luminosity LHC. It will be capable of collecting nearly double the data, each year, as was taken over the LHC’s first decade of life, from 2008-2018. However, to learn more about the Universe at a fundamental level, additional science will need to be conducted.
Credit: CERN

It’s important that we understand these components of an accelerator design, because if we want to build a very large accelerator, we want to do it as efficiently and effectively as possible. Ultimately, the maximum energy that your (circular) accelerator can reach is determined only by three factors.

  1. The strength of the magnetic field, and specifically the maximum strength of the bending magnets, that keep the accelerated particles confined to the relevant circular path. Stronger bending magnets translate to higher maximum energies.
  2. The physical size of your accelerator, and specifically the radius of the circular path that the particles trace out, is also a limiting factor. As you double the radius of your accelerator, you double the maximum energies that it can achieve.
  3. And finally, there’s the problem of synchrotron radiation, which is energy that gets radiated away, electromagnetically (in the form of photons), anytime you accelerate a charged particle in a magnetic field. This radiation most strongly limits particles with a high charge-to-mass ratio, like electrons or positrons, but is much weaker for heavier particles, like muons or protons.

If you want to build the most powerful particle accelerator you can — which is, in fact, what we want to do — you’ll want to maximize the magnetic field strength and the accelerator ring radius, while minimizing the impact of synchrotron radiation.

Relativistic electrons and positrons can be accelerated to very high speeds, but will emit synchrotron radiation (blue) at high enough energies, preventing them from moving faster. This synchrotron radiation is the relativistic analog of the radiation predicted by Rutherford so many years ago, and has a gravitational analogy if you replace the electromagnetic fields and charges with gravitational ones. Protons emit just one ten-trillionth of the synchrotron radiation that electrons do.
Credit: Chung-Li Dong et al., SPIE

At present, the LHC boasts the strongest bending magnets (at around 8 T) and the largest radius (of about 4.3 kilometers) of any accelerator ever constructed. Prior to the LHC, however, which collides protons with protons, that same tunnel held an electron-positron collider known as LEP: the Large Electron-Positron collider. Even though LEP was the same size as the LHC, the LHC’s protons were accelerated to about 7 TeV of energy apiece, while LEP struggled to get its electrons and positrons up past 100 GeV (just 0.1 TeV) of energy. The culprit, as you might have guessed, was synchrotron radiation.

Fortunately, for the same size ring, a proton emits just one-ten trillionth (one part in 1013) of the amount of synchrotron radiation emitted by an electron, so although electron (and positron) energies are very limited by circular accelerators, this isn’t the case for protons at all. In fact, synchrotron radiation can be lowered by building larger and larger radius rings, so if we’re simply willing to go bigger and bigger, we could — at least in theory — go all the way up to the Planck scale of ~1019 GeV with a large enough circular accelerator. It might take an accelerator significantly greater in size than the Solar System, or even the Oort cloud, in order to do it, but it’s at least theoretically possible.

This illustration shows a hypothetical ring around the Earth, which could represent a particle accelerator even larger than the Earth’s circumference. With approximately ~1500 times the radius of the Large Hadron Collider, such an accelerator, even with only slightly more advanced magnet technology, would be thousands of times more powerful. A particle accelerator that was merely a factor of ~10 more powerful than the LHC could shed tremendous light on the matter-antimatter asymmetry puzzle.
Credit: Adrian Mann/aerospace illustration/bisbos

The reason all of this is important is because it tells us what we need to consider if we want to build the largest, most powerful accelerator we can conceive of. Originally, back in the ~1950s, legendary physicist Enrico Fermi (for whom Fermilab is named) suggested building a particle accelerator around the equator of the Earth. (When I first heard about this idea, the physicist who presented it to me named it the “Fermitron,” although I have not heard that name since.) With a radius of 6378 kilometers, or a radius that’s approximately 1500 times the radius of the LHC, we could leap from collider energies of around ~14 TeV up to collider energies that are more like ~20 PeV, where a PeV is a peta-electron-volt, and is equal to 1000 TeV or 1,000,000 GeV.

However, that’s only the case if we keep the same-strength bending magnets that we find at the LHC. If we wanted to spend less on infrastructure, we could use conventionally (or passively) cooled electromagnets, rather than the superconducting electromagnets that are actively cooled with liquid helium, leveraged both at the modern LHC as well as Fermilab before it. However, those electromagnets are limited to be much weaker than the LHC’s magnets, and can only achieve field strengths of around ~1-1.5 T, rather than the ~7.5-8 T achieved at the LHC. That loss of capability at the energy frontier is in no way “made up for” by having a less expensive set of electromagnets that don’t require active, liquid helium cooling. In fact, the expense of a larger ring far outweighs the cost savings by using cheaper electromagnets.

This superconducting magnet from the National High Magnetic Field Laboratory can achieve sustained fields of 32 T, or about four times the field strength of the magnets currently powering the LHC. This magnet first came online in 2017, and won the R&D 100 award in 2022.
Credit: National High Magnetic Field Laboratory

Instead, it’s worth looking in the other direction: at the ultimate capabilities of magnets. You might have learned that permanent magnets can be powerful, and indeed they can. The strength of Earth’s magnetic field is normally measured in units called “gauss,” where 1 gauss (or 1 G) is just one-ten thousandth of 1 tesla (or 1 T). Earth’s magnetic field is around 0.6 G at the surface. However, permanent magnets can hold a maximum magnetic field of around 14,000 G, which is 1.4 T. However, electromagnets can far exceed that, with the bending magnets at the LHC reaching ~8 T and experimental electromagnets at, for instance, the National High Magnetic Field Lab, creating magnets for various purposes whose field strengths range from 25-45 T, and may yet reach even greater magnitudes.

What’s vital to remember is this: the energy of your (proton-proton) collider is directly proportional to the strength of the magnetic field you can achieve. If we could, for instance, upgrade the LHC’s electromagnets to be double, triple, or quadruple the strength of the electromagnets within it today, we could double, triple, or quadruple the energy reach of the entire machine. The reason the LHC is so much more powerful than Fermilab’s Tevatron, which preceded it, isn’t just because the LHC is a larger machine; it’s also because the LHC has stronger bending magnets than the Tevatron ever had: almost double the field strength, in fact.

The Future Circular Collider (in blue) would overlap slightly with the current Large Hadron Collider, but requires an additional ring (and tunnel) somewhere upward of 80 km in circumference: dwarfing the LHC’s current 27 km circumference. Bigger tunnels and stronger magnets are needed for a more energetic hadron collider, with the FCC proposing ~16 T magnets, approximately double the LHC’s current magnet strength.
Credit: CERN / Big Think

It is important to remember that particle accelerators aren’t just machines where you can, “Give me a big ring and a strong magnet, and I’ll give you high energy particles.” Instead, you need a precise machine, all the way through, that has the ability to bend, collimate, and accelerate particles progressively, from low energies all the way up to the highest energies your accelerator can possibly achieve. This takes a lot of infrastructure, coordinated electronics, liquid helium cooling for your electromagnets, and substantial amounts of shielding for your accelerator. At higher and higher energies, you also have to deal with radiation that may be potentially hazardous to living things, like human beings.

You cannot get there with passive cooling; you cannot get there with small amounts of power or energy; you cannot get there with either permanent magnets or Earth’s natural magnetic field. All of this is much easier to perform on the surface of the Earth, where nearly the entirety of all human infrastructure ever assembled is built, and with sufficiently strong electromagnets, we may yet be able to reach up to around the ~100 PeV mark (or ~108 GeV) in terms of collision energy with an Earth-circling particle accelerator. It’s an incredibly ambitious and incredibly expensive proposition, but with sufficient technology and resources, it’s potentially realistic to have a machine that reaches up to around 10,000 times the current energy limits of the LHC.

A logarithmic chart of distances, showing the planets, the Voyager spacecraft, the Oort Cloud, and our nearest star: Proxima Centauri. If we imagine building larger and larger particle accelerators, every factor of 10 in radius gets us another factor of 10 in energy, but typically at the expense of another factor of 100 in cost. On planetary and stellar scales, this can get prohibitively large very quickly.
Credit: NASA/JPL-Caltech

However, it’s worth noting that the energy scales we’re truly interested in reaching are way, way up there. The maximum energy of the highest-energy cosmic rays generated naturally are around 1011-1012 GeV, and that would require an accelerator the size of Earth’s orbit around the Sun. The theoretical scale for grand unified theories is up around 1015 or 1016 GeV, which would require an accelerator that isn’t the size of Earth’s orbit, but rather is 1000 to 10,000 times as large: between 1000 and 10,000 A.U. in radius. If we achieved those energies, we’d potentially have to begin wondering whether we might “accidentally” trigger a Universe-destroying catastrophe, as that’s also the theoretical energy scale at which cosmic inflation occurred. Restoring the inflationary state would conceivably cause the space where it occurs to expand, both rapidly and relentlessly, and could easily unbind planet Earth from the Sun.

At even greater distance scales, we could imagine an accelerator that was up to ~100 light-years in size: one that was big enough to reach Planck energies, or the energy scale at which the laws of physics themselves are known to break down. It might seem like a daunting task to coordinate different parts of an accelerator that cannot be coordinated from a central location even at the speed of light, but someday, if experimental particle physics ever advances that far, that will be the least of our worries. So far, that’s the only idea we have to directly test string theory, and admittedly, it’s not exactly practical. Nevertheless, these types of big dreams, while implausible today, may someday inspire future generations of humans to probe beyond any frontiers we can even fathom today. After all, the entire subatomic universe still awaits.

Send in your Ask Ethan questions to startswithabang at gmail dot com!

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