1 · Concept overview

Established Neutrino astronomy is two disciplines sharing a particle. One is astronomy: using neutrinos to see into places photons cannot leave — stellar cores, the interiors of relativistic jets, the universe before recombination. The other is precision particle physics: using astrophysical and terrestrial neutrino sources to measure the mixing matrix, the mass ordering, the absolute mass scale and whether the neutrino is its own antiparticle. The instruments overlap; the standards of evidence do not.

Established Everything about the field follows from one number. The neutrino-nucleon cross section near 1 GeV is of order 10−38 cm² per nucleon, which is roughly twenty orders of magnitude below a typical nuclear scattering cross section. A neutrino of that energy has a mean free path in water measured in light-years. There is no way to make a small detector; there is only a way to make a big one and wait.

Frontier The claim this brief lands is that the precision frontier of neutrino physics is on Earth, and the astronomy is still at the evidence stage. Mixing angles are known to a few per cent, from reactors and accelerators. Not one astrophysical neutrino source has been identified at the five-sigma level that the same community demands of itself for a particle discovery. The two halves of the subject are separated by roughly two orders of magnitude in statistical maturity, and the gap is closing from the terrestrial side.

Established Four energy regimes behave like four different sciences. Megaelectronvolt neutrinos come from the Sun, reactors, the Earth’s crust and supernovae, and are counted by the thousand. Gigaelectronvolt neutrinos come from accelerators and the atmosphere and carry the oscillation programme. Teraelectronvolt-to-petaelectronvolt neutrinos are the astrophysical diffuse flux. Above that sits an exaelectronvolt regime that has never been convincingly detected at all.

Established A note on sourcing. This brief was commissioned in September 2026 from the Institute’s research base. Reading-list entries without links are cited from the bibliographic record rather than re-fetched, and claims are dated no later than early 2026 unless carried by a linked source.

2 · Current scientific position

Established Neutrino oscillation is measured, replicated and not in dispute, and the parameters are known to precisions that would satisfy any other branch of physics. The solar splitting is (7.53 ± 0.18) × 10−5 eV². The atmospheric splitting is about (2.455 ± 0.028) × 10−3 eV² assuming normal ordering. The reactor angle is the best-determined of the three: sin²2θ13 = 0.0851 ± 0.0024, a 2.8% measurement, from a final reactor dataset. The solar angle is sin²θ12 = 0.307 ± 0.013. Oscillation requires non-zero mass, which is the only laboratory evidence for physics beyond the Standard Model that everyone accepts.

Frontier Three things about the same matrix are not settled, and each has resisted a decade of effort. The mass ordering — whether the third state is heavier or lighter than the other two — is preferred normal by global fits at roughly two to three sigma, which is not a determination. The octant of the atmospheric angle is open: sin²θ23 sits near 0.55 with an asymmetric uncertainty of about (+0.02/−0.07) that straddles maximal mixing. And the CP-violating phase is the least constrained quantity in the mixing matrix; the two operating long-baseline experiments prefer different regions depending on the assumed ordering, and their 2024 joint analysis showed no significant preference for either ordering.

Established The absolute mass scale is bounded from three unrelated directions and they do not sit comfortably together. Direct kinematic measurement of tritium beta decay gives an effective electron-neutrino mass below about 0.45 eV at 90% confidence — a model-independent bound with no cosmological assumptions. Oscillation requires the sum of the three masses to exceed roughly 0.06 eV under normal ordering and roughly 0.10 eV under inverted ordering. Frontier Cosmological fits now bound that sum below roughly 0.07 eV, tight enough to be in tension with inverted ordering outright, and recent survey analyses have reported a preference for an unphysically small or negative effective mass. That is a signal that something is wrong — in the dark-energy model, in a systematic, or in the neutrino sector — and nobody can yet say which.

Established Neutrinoless double beta decay has not been observed and the limits are now deep. The strongest single bound comes from a xenon-loaded scintillator: a half-life above about 3.8 × 1026 years. Converting that to an effective Majorana mass gives a range, not a number — roughly 28 to 122 meV — and that width is entirely the spread among nuclear matrix element calculations, not experimental uncertainty. Germanium and molybdenum experiments give consistent limits.

Established Low-energy neutrino astronomy is a solved observational problem and a productive one. Every component of the solar proton-proton chain has been measured directly, and neutrinos from the carbon-nitrogen-oxygen cycle were detected at about five sigma in 2020, confirming a fusion pathway proposed in the 1930s. Geoneutrinos from crustal uranium and thorium have been counted, placing Earth’s radiogenic heat near 20 TW with an uncertainty of roughly half that. And SN 1987A delivered about two dozen events across three detectors in some thirteen seconds — still the entire observational dataset on core collapse.

Frontier High-energy neutrino astronomy has a flux and does not yet have sources. A diffuse astrophysical flux above atmospheric backgrounds was established past five sigma in the mid-2010s. The best source associations are a nearby Seyfert galaxy at 4.2 sigma with about 79 (+22/−20) events, an excess along the Galactic plane at about 4.5 sigma, and a flaring blazar at about 3.0 sigma after trials. None of these reaches the five-sigma threshold the same physicists apply to a particle discovery. The joint cross-messenger record is treated in Multi-Messenger Astronomy.

Frontier Two individual events sit at the edge of the record and both are single counts. A candidate for the Glashow resonance — an electron antineutrino near 6.3 PeV annihilating with an atomic electron to make a W boson — was reported at roughly 2.3 sigma. And a Mediterranean array one third built registered a muon near 120 (+110/−60) PeV, implying a parent neutrino around 220 PeV, in roughly 2.5-to-3-sigma tension with a longer-running instrument’s non-detection. Single-count Poisson statistics dominate both.

Established The exaelectronvolt regime is a clean null. Cosmogenic neutrinos, made when ultra-high-energy cosmic rays scatter off the microwave background, are a near-inevitable consequence of the measured cosmic-ray spectrum; two decades of radio and optical searching has produced limits and no detection. It is one of the field’s most informative nulls, already disfavouring the highest-luminosity source models.

3 · Frontier questions

Frontier Whether leptonic CP violation is large is the field’s flagship open question. A CP phase near three-quarters of a turn would mean the neutrino sector violates matter-antimatter symmetry at a scale unlike the quark sector, which is the observational hook for leptogenesis. Five-sigma coverage over a useful fraction of phase space requires megawatt beams, hundred-kilotonne detectors, and cross-section systematics at the per-cent level.

Frontier Whether the neutrino is its own antiparticle is a yes/no question with an asymmetric answer structure. An observation of neutrinoless double beta decay would settle it. A null does not: it only pushes the effective mass lower. Next-generation tonne-scale experiments target the inverted-ordering band near 10 to 20 meV. If the ordering is normal and the lightest mass is small, the effective mass can fall to the milli-electronvolt scale, which no proposed experiment reaches. The field could therefore be permanently unable to answer its own question, and is candid about this.

Frontier The cosmology-versus-oscillation tension is the live anomaly of the mid-2020s. Oscillation sets a floor on the mass sum; cosmology sets a ceiling that has been dropping and is now close to or below that floor for inverted ordering. Either the ordering is normal, or the cosmological modelling is incomplete — the same datasets that tighten the neutrino bound also prefer evolving dark energy, and those two preferences are correlated.

Speculative The cosmic neutrino background is the oldest relic the universe can in principle offer and has never been detected directly. It should number about 336 per cubic centimetre at a temperature near 1.95 K, decoupled one second after the big bang — some 380,000 years earlier than the microwave background. Its existence is established indirectly from nucleosynthesis and the microwave background’s radiation content; a direct capture detection would be a different order of evidence.

4 · Technological bottlenecks

Established The binding systematic on the CP measurement is not the beam or the detector but the neutrino-nucleus interaction model. Oscillation is inferred from event rates against reconstructed energy, and reconstructing energy requires knowing what a neutrino did to an argon or oxygen nucleus — how many nucleons were ejected, how much energy went into unobserved neutrons, how correlated pairs contribute. These processes are known at the ten-per-cent level and needed at the per-cent level, which is why every long-baseline experiment spends a large fraction of its budget on near detectors measuring the unoscillated beam on the same nuclear target.

Established The binding systematic on the Majorana question is a theory calculation. Converting a half-life limit into an effective mass requires a nuclear matrix element, and independent many-body methods disagree by a factor of two to three for every candidate isotope. A factor of three in the matrix element is a factor of nine in the half-life required to reach a given mass. No experimental programme can outrun that, and the calculation is not one that experimental funding buys.

Established Angular resolution is set by the medium, and the two available media fail in opposite ways. Glacial ice absorbs little and scatters a great deal, so arrival times smear and track resolution above 100 TeV is around half a degree, with shower-like events an order of magnitude worse. Deep sea water scatters little, absorbs more, and adds two backgrounds ice does not have: potassium-40 decay and bioluminescence. Water buys pointing at the cost of volume; ice buys volume at the cost of pointing.

Established The sky is not uniformly observable, and the Earth itself is the reason. Above roughly 100 TeV the Earth becomes opaque to neutrinos, so a polar instrument that uses up-going tracks to reject the atmospheric muon background loses its cleanest channel exactly where the astrophysical flux is most distinctive. That is an argument for a northern array rather than a larger southern one.

Frontier Statistical significance in all-sky searches is dominated by the trials factor and the reporting is uneven. Scanning the whole sky for the hottest spot carries a penalty of several orders of magnitude in effective trials, so a four-sigma pre-trials excess routinely becomes a two-sigma post-trials result. Catalogue searches cut the penalty by restricting to a pre-defined list, which is why the strongest association came from a 110-source catalogue rather than a blind scan. Summaries routinely quote pre-trials numbers without saying so.

Established Detector scaling is close to linear in cost and sub-linear in reach. Point-source sensitivity improves roughly as the square root of exposure for a background-limited search, so an order of magnitude in sensitivity costs two orders of magnitude in detector-years. That is the arithmetic making the step from one cubic kilometre to eight a serious proposal rather than an obvious one.

5 · Research dependencies

Established Tonne-scale double beta decay depends on isotope enrichment capacity that is thinly supplied and dual-use. The candidate isotopes are minor components of natural element mixtures and must be centrifuge-enriched to high purity in tonne quantities. Global capacity sits in a small number of facilities, some geopolitically exposed, and the same technology base serves uranium enrichment. The supply constraint is the pacing item for the next generation, not the detector physics.

Established Liquid-argon programmes depend on cryogenic purity at a scale nobody had attempted. A time-projection chamber drifting ionisation electrons over metres requires oxygen-equivalent contamination below roughly a part per billion, held in tens of kilotonnes of argon for years. The membrane cryostat was borrowed from the liquefied-natural-gas industry — a rare case of a physics programme inheriting rather than inventing its enabling engineering.

Established Every large detector depends on photomultiplier production runs that dominate the schedule. A twenty-kilotonne scintillator detector needs of order twenty thousand large-diameter photomultipliers with matched timing and quantum efficiency. These come from a handful of manufacturers, and delivery rate, not budget, has set the completion date of more than one facility.

Established Depth is a dependency measured in kilometres of rock or water. Atmospheric muons outnumber signal events by many orders of magnitude at the surface, and shielding is purely geometric: a thousand metres of rock buys about a factor of 105. Underground laboratories therefore gate the entire low-energy programme, and new ones are civil engineering with a decade lead time. Polar Development and Ocean Engineering carry the logistics and marine-installation constraints the polar and deep-sea arrays inherit.

Frontier Reconstruction now depends on machine learning in a way that is load-bearing and under-audited. The Galactic-plane detection was made possible by neural-network reconstruction of shower-like events that classical methods could not use, which converted a discard pile into a measurement. That is a real gain and it moves a significant part of the systematic error budget into a model whose failure modes are harder to characterise, an instance of the pattern in Artificial Scientists.

6 · Required experiments

Frontier The decisive experiment in this subject is already running, and it is not an astronomical one: a 20-kilotonne liquid scintillator detector 53 kilometres from two reactor complexes determines the neutrino mass ordering from vacuum oscillation alone, independent of matter effects and independent of the CP phase. The measurement reads a fine interference pattern in the reactor antineutrino energy spectrum, requiring energy resolution near 3% at one megaelectronvolt, roughly twice as good as any previous scintillator detector. It began taking data in 2025 and needs several years of exposure for a three-sigma determination.

Frontier It is decisive because the ordering is the hinge three other questions hang on. It fixes whether the cosmological mass bound is in genuine tension with oscillation. It fixes whether the next generation of double beta decay experiments can cover the accessible band or will chase a floor they cannot reach. And it removes the largest degeneracy in extracting the CP phase from long-baseline data. No other single result unlocks as much, and no other is already underway with no new construction required.

Frontier The two long-baseline experiments are the second and third tests, and they are complementary by design rather than redundant. One drives a beam 1,300 kilometres through rock to liquid-argon modules, where the long baseline produces a large matter effect resolving ordering and CP phase together. The other drives a beam 295 kilometres to a water detector of about 260 kilotonnes total mass, where the short baseline suppresses the matter effect and isolates the phase. Agreement between two methods with opposite systematic structures is what a five-sigma claim would rest on.

Established The fourth test is a natural experiment that needs no new hardware and cannot be scheduled. A core-collapse supernova in the Milky Way would deliver thousands to tens of thousands of events across the operating detectors, resolving the explosion mechanism, the proto-neutron-star cooling curve and possibly the ordering from the neutronisation burst. The expected rate is roughly one to three per century.

Speculative The fifth test is the one nobody has funded and the one that would change the subject’s ceiling: direct capture of relic neutrinos. The proposed method captures background neutrinos on tritium, producing electrons a little above the beta-decay endpoint, and needs roughly 100 grams of tritium on an atomically thin substrate with energy resolution near 0.05 eV. Handwave A published analysis argues that zero-point motion of tritium bound to graphene broadens the line by around an order of magnitude more than the resolution requirement — which, if correct, disqualifies the substrate rather than the idea, and no alternative has been demonstrated.

7 · Engineering requirements

Established The cubic-kilometre array is a drilling project with physics attached. Instrumenting a gigatonne of Antarctic ice meant melting 86 holes roughly 2.5 kilometres deep with a multi-megawatt hot-water drill and lowering 5,160 optical modules in before the water refroze, on a schedule bounded by austral summer seasons. The detector cannot be repaired: every module is frozen in permanently, so reliability had to be qualified before burial rather than maintained after it.

Established The deep-sea arrays solve the same problem with opposite constraints. Detection units are compact vertical strings deployed from ships to depths near 3.5 kilometres and unfurled remotely, recoverable in principle, cabled to shore. They gain pointing from low scattering, lose it to a continuous background of potassium-40 decays and biological light, and must survive corrosion for decades.

Established The long-baseline detectors are precision instruments at industrial scale. A liquid-argon time-projection chamber images charged-particle tracks in three dimensions at millimetre resolution by drifting ionisation electrons metres through ultrapure argon under a field of hundreds of kilovolts. A large scintillator detector is a single acrylic sphere tens of metres across, filled with an organic liquid whose optical attenuation length and radiopurity both have to be extraordinary, watched by photomultipliers covering most of its surface.

Frontier The radio technique is the only proposal that reaches the exaelectronvolt regime at affordable cost, and it has never detected the signal it was built for. A neutrino-induced shower in ice produces coherent radio emission detectable at kilometre distances, so sparse antenna stations can instrument hundreds of cubic kilometres. Arrays in Antarctica and Greenland and a balloon programme have run for years, producing limits rather than events.

8 · Adjacent technologies

Established The cross-messenger half of this subject is owned next door. Multi-Messenger Astronomy carries the coincidence statistics, the alert infrastructure and the follow-up bottleneck; this brief carries the detectors and the particle physics. Its finding that the messenger communities do not share a trials-factor convention applies directly to every source association quoted here.

Established Neutrinos are one of the four channels in the quantum-gravity constraint programme. Quantum Gravity carries that literature, including the tightest existing limits on certain space-time-defect operators, which came from astrophysical neutrino flavour composition — a null produced by an instrument built to do astronomy rather than to test gravity.

Established Reactor monitoring is the one applied use with a working physical basis. A reactor’s antineutrino rate and spectrum track its thermal power and its plutonium content, and cannot be spoofed from outside. Advanced Fission carries the reactor fleet this would monitor.

Frontier Three further adjacencies are infrastructural rather than scientific. Ocean Engineering and Polar Development supply the deployment environments; Mega-Telescopes supplies the optical follow-up capacity whose cost scaling limits what a neutrino alert can trigger; and Black Hole Physics Applications carries the compact-object population that the candidate sources belong to.

9 · Institutional requirements

Established The three flagship oscillation programmes are hosted by three different states and none is nationally funded. The American long-baseline project is a Department of Energy-hosted international collaboration of over a thousand participants, with major detector components built abroad and integrated at a European laboratory before shipping; the Japanese programme is similarly structured; the Chinese reactor experiment is led by its own academy with European partners. Three comparable facilities on three continents, cooperating on physics and competing for the same result.

Frontier Cost and schedule growth in this field is normal and is managed by rescoping rather than cancellation. The American flagship was rebaselined into phases, the first delivering fewer detector modules and lower beam power than the physics case requires, the remainder deferred to a second phase endorsed but not fully funded. Build half, promise the rest, is the characteristic institutional risk here, because the physics reach is concentrated in the deferred half.

Frontier The next-generation neutrino telescope is endorsed and unbuilt. An eight-cubic-kilometre successor to the polar array has community endorsement in strategic prioritisation exercises and is not in construction. Competing proposals in the Pacific and in Chinese waters would put comparable volumes in the northern hemisphere, where the complementary sky coverage is. Scientific Funding Models carries the result that funding mechanism changes what gets attempted.

Established The applied institutional case has been tested and it failed. A proposed demonstration of remote reactor monitoring by a kilotonne-scale antineutrino detector, aimed at safeguards verification, was pursued and then cancelled without producing it. The physics works; the institutional demand did not materialise at the price — the honest summary of every applied neutrino proposal to date.

Established Open data practice is improving from a low base. The major observatories now release event samples and effective areas after defined periods, which is what makes independent re-analysis of source associations possible. Long-baseline experiments release far less, because their analysis chain is inseparable from detector-specific simulation.

10 · Ethical & societal considerations

Established The enrichment dependency is genuinely dual-use and is treated as such. Tonne-scale isotope separation for double beta decay targets uses the same centrifuge base as uranium enrichment, so the supply chain sits inside export-control regimes. This is not hypothetical caution: it constrains which countries can host which experiments.

Established Reactor monitoring is a surveillance capability as well as a safeguards tool. A detector that can infer a reactor’s power and plutonium inventory from outside the fence is a non-intrusive verification instrument in a cooperative regime and an intelligence instrument in an adversarial one. The distinction is entirely in the governing agreement, not in the hardware.

Established Siting raises land and environment questions the physics does not. Deep underground laboratories reuse mines whose surrounding land often carries unresolved indigenous claims; polar installations operate under an environmental protocol governing drilling and waste; deep-sea arrays place hardware in poorly characterised ecosystems. None has produced a stoppage on the scale seen in optical astronomy, which is partly luck of siting rather than better practice.

Frontier Authorship and credit at collaboration scale is unresolved. Papers carry hundreds to thousands of authors; the reconstruction software behind a headline detection is often the work of a handful of people invisible in that list.

11 · Civilizational implications

Established Neutrinos are the only direct probe of a stellar interior, and that is not a figure of speech. Photons from the solar core take of order 105 years to random-walk out; neutrinos leave in seconds. Every statement about what is happening inside the Sun right now rests on neutrino counting, and the confirmation of the carbon-nitrogen-oxygen cycle closed a ninety-year question about how heavier stars burn.

Established They are also the only probe of the first second of the universe. The microwave background shows the universe at 380,000 years; the neutrino background would show it at one second, and its indirect imprint on the radiation content is already one of cosmology’s tightest constraints on hidden sectors.

Frontier If leptonic CP violation is large, it supplies the observational leg of the best available explanation for why matter exists. Leptogenesis converts a CP asymmetry in heavy neutrino decay into a baryon asymmetry. Measuring a large low-energy phase would not prove the mechanism — the connection is model-dependent — but it would move it from plausible to motivated.

Handwave Neutrino communication and neutrino tomography recur as proposed applications and the arithmetic dismisses both at any practical scale. A beam-based message was in fact transmitted through 240 metres of rock in 2012, at about 0.1 bits per second with a detector of several hundred tonnes. Scaling that to a useful rate at planetary distances requires accelerator and detector capacities far beyond anything costed, and the low cross section that makes the channel penetrating is exactly what makes it unusable.

12 · Timelines

These horizons track when specific numbers get measured, not when the field becomes generally capable.

  • 10 yr: Frontier The mass ordering is determined at three to five sigma by at least two independent methods. The octant is resolved. CP violation is either excluded near the symmetric values at high confidence or measured at three sigma with the ordering degeneracy broken. Tonne-scale double beta decay covers the inverted-ordering band and, on the current expectation of normal ordering, reports a null. One or two astrophysical sources cross five sigma.
  • 25 yr: Speculative A next-generation neutrino telescope of several cubic kilometres, sited for northern sky coverage, resolves a substantial fraction of the diffuse flux into a source population. Neutrino astronomy has a catalogue rather than a shortlist. If a Galactic supernova has occurred, the explosion mechanism is settled. Absolute mass is either measured kinematically near 0.1 eV or the direct technique has reached its practical floor.
  • 50 yr: Speculative Relic neutrino capture is either demonstrated at low rate or abandoned on substrate physics. Neutrino tomography of the Earth’s core from atmospheric absorption becomes a real geophysical measurement rather than a proof of principle. Precision oscillation shifts from discovery to a test of unitarity of the mixing matrix at the per-cent level.
  • 100 / 250+ yr: Handwave Proposals for neutrino-beam communication, planetary-scale tomography and detection of neutrinos from the earliest phase transitions are coherent but have no costed programme, no demonstrated enabling technology and, in the communication case, an arithmetic that gets worse with distance rather than better.

13 · Technology tree & dependencies

  • Depends on Nothing on this map blocks the terrestrial programme: the beams, detectors and analysis methods all exist and the remaining work is scale and systematics. The astronomical half does wait on results owned elsewhere — follow-up capacity bounded by the aperture cost scaling in Mega-Telescopes, and the coincidence statistics and alert plumbing carried by Multi-Messenger Astronomy. The constraint physics these detectors feed is owned by Quantum Gravity.
  • Requires (not on this map) Nuclear matrix element calculations with honest uncertainties, because the factor-of-three spread between methods, not the detectors, sets what a half-life limit means. Neutrino-nucleus cross sections at the per-cent level in the few-gigaelectronvolt range, because the CP measurement is systematics-limited there. Tonne quantities of enriched isotope from outside the narrow set of export-controlled facilities. Kilotonne-scale ultrapure cryogenic argon handling, inherited from the liquefied-gas industry and not yet run at full scale for a decade. Construction money for a northern-hemisphere cubic-kilometre-class array, because Earth absorption makes a second hemisphere worth more than a larger southern one. And a multi-decade polar logistics commitment, because the construction seasons are short and non-recoverable.
  • Enables A determination of the mass ordering and of leptonic CP violation; a decision on whether the neutrino is its own antiparticle, conditional on the ordering; identification of the sources of the high-energy cosmic-ray population; direct observation of a stellar core collapse; and non-intrusive verification of reactor operation.
  • Adjacent Advanced Fission for the reactor fleet both as source and as monitoring target, Ocean Engineering and Polar Development for deployment environments, Artificial Scientists for the machine-learning reconstruction now inside the systematic error budget, and Scientific Funding Models for the phased-construction risk.

14 · Common misconceptions & speculative claims

Frontier Claim: sterile neutrinos have been detected. Two short-baseline appearance experiments reported excesses at 3.8 and 4.8 sigma, and gallium detectors calibrated with radioactive sources show a persistent deficit at around four sigma. But a liquid-argon programme built to test the appearance interpretation found no matching electron-neutrino excess, and disappearance searches exclude much of the required parameter space. The global picture is internally inconsistent, which is not the same as a detection.

Frontier Claim: cosmology has already measured the neutrino mass. Cosmological bounds are the tightest numbers available and they are model-dependent in a way the kinematic bound is not. When the same analyses that push the mass sum below the oscillation floor also prefer a time-varying dark energy, the responsible reading is that the model is being strained, not that neutrinos are lighter than oscillation permits.

Frontier Claim: neutrino astronomy has identified its sources. The strongest association is 4.2 sigma post-trials from a 110-source catalogue; the Galactic-plane excess is about 4.5 sigma; the blazar coincidence is about 3.0 sigma. Each is real evidence and none is a discovery by the convention the same physicists apply to a particle search. Summaries that drop the trials qualifier turn four near-misses into four detections.

Frontier Claim: the 220 PeV Mediterranean event is a cosmogenic neutrino. It is one event, in an array one third complete, in tension with the non-detection by a longer-running instrument. A single count carries Poisson uncertainty of order itself, and the two most likely explanations — an upward fluctuation here or a downward one there — are both unremarkable.

Speculative Claim: anomalous upward-going radio events require beyond-Standard-Model physics. A balloon-borne antenna array recorded steeply upward events whose implied trajectories cross too much Earth for a Standard Model neutrino to survive. Explanations invoking subsurface reflection, firn layering and transition radiation have been advanced, and the non-observation of a matching population by a far larger instrument constrains any exotic reading more tightly than the original events support it.

Handwave Claim: neutrino beams are a practical communication or tomography channel. The demonstrated rate is about 0.1 bits per second through 240 metres of rock using an accelerator and a several-hundred-tonne detector. The property that makes neutrinos penetrating is the same property that makes them undetectable, and the trade does not improve with engineering — it is set by a cross section fixed by the weak coupling.

Established Claim: a null result in double beta decay would prove the neutrino is a Dirac particle. It would not. The decay rate depends on the effective Majorana mass, which can be suppressed to near zero by cancellation between mass eigenstates even for a Majorana neutrino, particularly under normal ordering with a small lightest mass. The experiment can confirm but cannot refute.