List of unsolved problems in physics


The following is a list of notable unsolved problems grouped into broad areas of physics.
Some of the major unsolved problems in physics are theoretical, meaning that existing theories are currently unable to explain certain observed phenomena or experimental results. Others are experimental, involving challenges in creating experiments to test proposed theories or to investigate specific phenomena in greater detail.
A number of important questions remain open in the area of physics beyond the Standard Model, such as the strong CP problem, determining the absolute mass of neutrinos, understanding matter–antimatter asymmetry, and identifying the nature of dark matter and dark energy.
Another significant problem lies within the mathematical framework of the Standard Model itself, which remains inconsistent with general relativity. This incompatibility causes both theories to break down under extreme conditions, such as within known spacetime gravitational singularities like those at the Big Bang and at the centers of black holes beyond their event horizons.

Historical problems and lists

Isaac Newton in his book Opticks, published a list of 31 queries.
In 1900, Lord Kelvin in a speech identified two main issues in classical physics that represented "two clouds" for the physics of 20th century: the lack of evidence for the existence of the luminiferous aether and the failures of the equipartition theorem in predicting the heat capacity of solids. Both problems were solved within a decade with the development of special relativity and quantum mechanics respectively.
Nobel laureate Vitaly Ginzburg is known for having compiled from 1971 to 2005, a list of open problems in physics on "the verge of the 21th century", the final list includes 30 problems. Ginzburg also included three "great problems": the problem of the arrow of time, the quantum mechanics">quantum mechanics">quantum mechanics and life arising from physics alone.
During the Strings 2000 conference a list of 10 millenium problems in theoretical physics was proposed by its members, none has been conclusively solved as of 2025.

Mathematical lists

Some mathematical physics problems are included in notable List of [unsolved problems in mathematics|lists of unsolved problems in mathematics], these include:

General physics

Quantum gravity

Quantum physics

Cosmology and general relativity

High-energy/particle physics

  • Hierarchy problem:The ratio between the strong force and gravity is on the order of. Why is gravity so much weaker than the strong force?
  • Magnetic monopoles: Did particles that carry "magnetic charge" exist in some past, higher-energy epoch? If so, do any remain today?
  • Neutron lifetime puzzle: While the neutron lifetime has been studied for decades, there currently exists a lack of consilience on its exact value, due to different results from two experimental methods.
  • Proton decay and spin crisis: Is the proton fundamentally stable? Or does it decay with a finite lifetime as predicted by some extensions to the standard model? How do the quarks and gluons carry the spin of protons?
  • Grand Unification: Are the electromagnetic and nuclear forces different aspects of a Grand Unified Theory? If so, what symmetry governs this force and its behaviours?
  • Supersymmetry: Is spacetime supersymmetry realized at TeV scale? If so, what is the mechanism of supersymmetry breaking? Does supersymmetry stabilize the electroweak scale, preventing high quantum corrections? Does the lightest supersymmetric particle comprise dark matter?
  • Color confinement: The quantum chromodynamics color confinement conjecture is that color-charged particles cannot be separated from their parent hadron without producing new hadrons. Is it possible to provide an analytic proof of color confinement in any non-abelian gauge theory?
  • The QCD vacuum: Many of the equations in non-perturbative QCD are currently unsolved. These energies are the energies sufficient for the formation and description of atomic nuclei. How thus does low energy /non-pertubative QCD give rise to the formation of complex nuclei and nuclear constituents?
  • Generations of matter: Why are there three generations of quarks and leptons? Is there a theory that can explain the masses of particular quarks and leptons in particular generations from first principles ?
  • Neutrino mass: What is the absolute mass of neutrinos? Are they Dirac or Majorana fermions? Is the mass hierarchy normal or inverted? Is the CP violating phase equal to 0?
  • Reactor antineutrino anomaly: There is an anomaly in the existing body of data regarding the antineutrino flux from nuclear reactors around the world. Measured values of this flux appears to be only 94% of the value expected from theory. It is unknown whether this is due to unknown physics, experimental error in the measurements, or errors in the theoretical flux calculations.
  • Strong CP problem and axions: Why is the strong nuclear interaction invariant to parity and charge conjugation? Is Peccei–Quinn theory the solution to this problem? Could axions be the main component of dark matter?
  • Anomalous magnetic dipole moment: Why is the experimentally measured value of the muon's anomalous magnetic dipole moment significantly different from the theoretically predicted value of that physical constant?
  • Pentaquarks and other exotic hadrons: What combinations of quarks are possible? Are they a tightly bound system of five elementary particles, or a more weakly-bound pairing of a baryon and a meson?
  • Mu problem: A problem in supersymmetric theories, concerned with understanding the reasons for parameter values of the theory.
  • Koide formula: An aspect of the problem of particle generations. The sum of the masses of the three charged leptons, divided by the square of the sum of the roots of these masses, to within one standard deviation of observations, is. It is unknown how such a simple value comes about, and why it is the exact arithmetic average of the possible extreme values of and 1.
  • Strange matter: Does strange matter exist? Is it stable? Can they form Strange stars? Is strange matter stable at 0 pressure ?
  • Glueballs: Do they exist in nature?
  • Gallium anomaly: The measurements of the charged-current capture rate of neutrinos on Ga from strong radioactive sources have yielded results below those expected, based on the known strength of the principal transition supplemented by theory.

Astronomy and astrophysics

  • Solar cycle: How does the Sun generate its periodically reversing large-scale magnetic field? How do other solar-like stars generate their magnetic fields, and what are the similarities and differences between stellar activity cycles and that of the Sun? What caused the Maunder Minimum and other grand minima, and how does the solar cycle recover from a minima state?
  • Coronal heating problem: Why is the Sun's corona so much hotter than the Sun's surface? Why is the magnetic reconnection effect many orders of magnitude faster than predicted by standard models?
  • Astrophysical jet: Why do only certain accretion discs surrounding certain astronomical objects emit relativistic jets along their polar axes? Why are there quasi-periodic oscillations in many accretion discs? Why does the period of these oscillations scale as the inverse of the mass of the central object? Why are there sometimes overtones, and why do these appear at different frequency ratios in different objects?
  • Diffuse interstellar bands: What is responsible for the numerous interstellar absorption lines detected in astronomical spectra? Are they molecular in origin, and if so which molecules are responsible for them? How do they form?
  • Supermassive black holes: What is the origin of the M–sigma relation between supermassive black hole mass and galaxy velocity dispersion? How did the most distant quasars grow their supermassive black holes up to 10 solar masses so early in the history of the universe?
  • Kuiper cliff: Why does the number of objects in the Solar System's Kuiper belt fall off rapidly and unexpectedly beyond a radius of 50 astronomical units?
  • Flyby anomaly: Why is the observed energy of satellites flying by planetary bodies sometimes different by a minute amount from the value predicted by theory?
  • Galaxy rotation problem: Is dark matter responsible for differences in observed and theoretical speed of stars revolving around the centre of galaxies, or is it something else?
  • Supernovae: What is the exact mechanism by which an implosion of a dying star becomes an explosion?
  • p-nuclei: What astrophysical process is responsible for the nucleogenesis of these rare isotopes?
  • Ultra-high-energy cosmic ray: Why is it that some cosmic rays appear to possess energies that are impossibly high, given that there are no sufficiently energetic cosmic ray sources near the Earth? Why is it that some cosmic rays emitted by distant sources have energies above the Greisen–Zatsepin–Kuzmin limit?
  • Rotation rate of Saturn: Why does the magnetosphere of Saturn exhibit a periodicity close to that at which the planet's clouds rotate? What is the true rotation rate of Saturn's deep interior?
  • Origin of magnetar magnetic field: What is the origin of magnetar magnetic fields?
  • Large-scale anisotropy: Is the universe at very large scales anisotropic, making the cosmological principle an invalid assumption? The number count and intensity dipole anisotropy in radio, NRAO VLA Sky Survey catalogue is inconsistent with the local motion as derived from cosmic microwave background and indicate an intrinsic dipole anisotropy. The same NVSS radio data also shows an intrinsic dipole in polarization density and degree of polarization in the same direction as in number count and intensity. There are several other observations revealing large-scale anisotropy. The optical polarization from quasars shows polarization alignment over a very large scale of Gpc. The cosmic-microwave-background data shows several features of anisotropy, which are not consistent with the Big Bang model.
  • Age–metallicity relation in the Galactic disk: Is there a universal age–metallicity relation in the Galactic disk ? Although in the local disk of the Milky Way there is no evidence of a strong AMR, a sample of 229 nearby "thick" disk stars has been used to investigate the existence of an age–metallicity relation in the Galactic thick disk, and indicate that there is an age–metallicity relation present in the thick disk. Stellar ages from asteroseismology confirm the lack of any strong age–metallicity relation in the Galactic disc.
  • The lithium problem: Why is there a discrepancy between the amount of lithium-7 predicted to be produced in Big Bang nucleosynthesis and the amount observed in very old stars?
  • Ultraluminous X-ray sources : What powers X-ray sources that are not associated with active galactic nuclei but exceed the Eddington limit of a neutron star or stellar black hole? Are they due to intermediate-mass black holes? Some ULXs are periodic, suggesting non-isotropic emission from a neutron star. Does this apply to all ULXs? How could such a system form and remain stable?
  • Fast radio bursts : What causes these transient radio pulses from distant galaxies, lasting only a few milliseconds each? Why do some FRBs repeat at unpredictable intervals, but most do not? Dozens of models have been proposed, but none have been widely accepted.
  • Origin of cosmic magnetic fields: Observations reveal that magnetic fields are present throughout the universe, from galaxies to galaxy clusters. However, the mechanisms that generated these large-scale cosmic magnetic fields remain unclear. Understanding their origin is a significant unsolved problem in astrophysics.

Nuclear physics

Fluid dynamics

Condensed matter physics

Quantum computing and quantum information

Plasma physics

Biophysics

  • Abiogenesis: can life be created from physical processes alone.
  • Stochasticity and robustness to noise in gene expression: How do genes govern our body, withstanding different external pressures and internal stochasticity? Certain models exist for genetic processes, but we are far from understanding the whole picture, in particular in development where gene expression must be tightly regulated.
  • Quantitative study of the immune system: What are the quantitative properties of immune responses? What are the basic building blocks of immune system networks?
  • Homochirality: What is the origin of the preponderance of specific enantiomers in biochemical systems?
  • Magnetoreception: How do animals sense the Earth's magnetic field?
  • Protein structure prediction: How is the three-dimensional structure of proteins determined by the one-dimensional amino acid sequence? How can proteins fold on microsecond to second timescales when the number of possible conformations is astronomical and conformational transitions occur on the picosecond to microsecond timescale? Can algorithms be written to predict a protein's three-dimensional structure from its sequence? Do the native structures of most naturally occurring proteins coincide with the global minimum of the free energy in conformational space? Or are most native conformations thermodynamically unstable, but kinetically trapped in metastable states? What keeps the high density of proteins present inside cells from precipitating?
  • Quantum biology: Can coherence be maintained in biological systems at timeframes long enough to be functionally important? Are there non-trivial aspects of biology or biochemistry that can only be explained by the persistence of coherence as a mechanism?

Foundations of physics

  • Interpretation of quantum mechanics: How does the quantum description of reality, which includes elements such as the superposition of states and wavefunction collapse or quantum decoherence, give rise to the reality we perceive? Another way of stating this question regards the measurement problem: What constitutes a "measurement" which apparently causes the wave function to collapse into a definite state? Unlike classical physical processes, some quantum mechanical processes cannot be simultaneously "local", "causal", and "real", but it is not obvious which of these properties must be sacrificed, or if an attempt to describe quantum mechanical processes in these senses is a category error such that a proper understanding of quantum mechanics would render the question meaningless.
  • Arrow of time : Why does time have a direction? Why did the universe have such low entropy in the past, and time correlates with the universal increase in entropy, from the past and to the future, according to the second law of thermodynamics? Why are CP violations observed in certain weak force decays, but not elsewhere? Are CP violations somehow a product of the second law of thermodynamics, or are they a separate arrow of time? Are there exceptions to the principle of causality? Is there a single possible past? Is the present moment physically distinct from the past and future, or is it merely an emergent property of consciousness? What links the quantum arrow of time to the thermodynamic arrow?
  • Locality: Are there non-local phenomena in quantum physics? If they exist, are non-local phenomena limited to the entanglement revealed in the violations of the Bell inequalities, or can information and conserved quantities also move in a non-local way? Under what circumstances are non-local phenomena observed? What does the existence or absence of non-local phenomena imply about the fundamental structure of spacetime? How does this elucidate the proper interpretation of the fundamental nature of quantum physics?
  • Quantum mind: Do quantum mechanical phenomena, such as entanglement and superposition, play an important part in the brain's function and can it explain critical aspects of consciousness?

Problems solved in the past 30 years

General physics/quantum physics

Cosmology and general relativity

High-energy physics/particle physics

  • Existence of pentaquarks : In July 2015, the LHCb collaboration at CERN identified pentaquarks in the channel, which represents the decay of the bottom lambda baryon into a J/ψ meson, a kaon and a proton. The results showed that sometimes, instead of decaying directly into mesons and baryons, the decayed via intermediate pentaquark states. The two states, named and, had individual statistical significances of 9 σ and 12 σ, respectively, and a combined significance of 15 σ—enough to claim a formal discovery. The two pentaquark states were both observed decaying strongly to, hence must have a valence quark content of two up quarks, a down quark, a charm quark, and an anti-charm quark, making them charmonium-pentaquarks.
  • Existence of quark-gluon plasma, a new phase of matter was discovered and confirmed in experiments at CERN-SPS, BNL-RHIC and CERN-LHC.
  • Higgs boson and electroweak [symmetry breaking] : The mechanism responsible for breaking the electroweak gauge symmetry, giving mass to the W and Z bosons, was solved with the discovery of the Higgs boson of the Standard Model, with the expected couplings to the weak bosons. No evidence of a strong dynamics solution, as proposed by technicolor, has been observed.
  • Origin of mass of most elementary particles: Solved with the discovery of the Higgs boson, which implies the existence of the Higgs field giving mass to these particles.
  • Proton radius puzzle: A 2010 measurement of the charge radius for the proton found a significantly smaller value than past measurements. Measurements since 2019 supported the smaller value of. A 2022 reanalysis of old data with a revised theoretical model also supported the smaller value.

Astronomy and astrophysics

Rapidly solved problems

  • Existence of time crystals : The idea of a quantized time crystal was first theorized in 2012 by Frank Wilczek. In 2016, Khemani et al. and Else et al. independently of each other suggested that periodically driven quantum spin systems could show similar behaviour. Also in 2016, Norman Yao at Berkeley and colleagues proposed a different way to create discrete time crystals in spin systems. This was then used by two teams, a group led by Christopher Monroe at the University of Maryland and a group led by Mikhail Lukin at Harvard University, who were both able to show evidence for time crystals in the laboratory setting, showing that for short times the systems exhibited the dynamics similar to the predicted one.
  • Photon underproduction crisis : This problem was resolved by Khaire and Srianand. They show that a factor 2 to 5 times large metagalactic photoionization rate can be easily obtained using updated quasar and galaxy observations. Recent observations of quasars indicate that the quasar contribution to ultraviolet photons is a factor of 2 larger than previous estimates. The revised galaxy contribution is a factor of 3 larger. These together solve the crisis.
  • distance controversy|Hipparcos anomaly] : The High Precision Parallax Collecting Satellite measured the parallax of the Pleiades and determined a distance of 385 light years. This was significantly different from other measurements made by means of actual to apparent brightness measurement or absolute magnitude. The anomaly was due to the use of a weighted mean when there is a correlation between distances and distance errors for stars in clusters. It is resolved by using an unweighted mean. There is no systematic bias in the Hipparcos data when it comes to star clusters.
  • Faster-than-light neutrino anomaly : In 2011, the OPERA experiment mistakenly observed neutrinos appearing to travel faster than light. On 12 July 2012 OPERA updated their paper after discovering an error in their previous flight time measurement. They found agreement of neutrino speed with the speed of light.
  • Pioneer anomaly : There was a deviation in the predicted accelerations of the Pioneer 10 and 11 spacecraft as they left the Solar System. It is believed that this is a result of previously unaccounted-for thermal recoil force.