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    Scientists / Open questions

    弗里曼·戴森

    Freeman J. Dyson

    量子电动力学、数学物理

    17 个问题

    1. Quantitative attribution of internal-wave and tidal contributions to long-range ocean-acoustic multipath scintillation spectra (the Dyson-Munk-Zetler Eleuthera-Bermuda open questions)

    2. Indefinite survival of life in an ever-expanding universe: the unresolved assumptions of Dyson's 'Time without end' scenario

    3. Crank-type combinatorial interpretation of the spt-function congruences beyond moduli 5 and 7: the mod 13 case and higher prime moduli

    4. Pseudovector-pseudoscalar meson-nucleon coupling equivalence in the presence of a charge-exchange external potential (Dyson, 1948)

    5. Quantum-corrected stability of ordered binary Coulomb compounds and survival of light nuclei against pycnonuclear fusion in dense stellar matter (Dyson 1971)

    6. Convergence, renormalization, and practical reliability of Tamm-Dancoff particle-number truncation in Hamiltonian quantum field theory (Dyson's 1953 vacuum-relative formulation and its descendants)

    7. Dyson's 1958 conjecture on the Jost-Lehmann-Dyson representation for functions vanishing on an arbitrary open set

    8. Realizability of Dyson's 1968 nuclear-pulse interstellar-transport performance regimes: debris coupling, ablation and shock-absorber survivability, fusion drivers, and radiation reliability

    9. Feasibility of controlling atmospheric CO2 by large-scale biospheric fixation with durable storage of harvested biomass (Dyson, 1977)

    10. Sharp decay criterion for finite-temperature spontaneous magnetization in the one-dimensional long-range Ising ferromagnet (Dyson's borderline problem)

    11. Moments, tail asymptotics, and universality of the limit law for the shifted-circle lattice-point error term

    12. Order vs. absence of order in the marginal regime of the one-dimensional long-range Ising ferromagnet, and the quantum Heisenberg analogue

    13. Geometric origin of the quaternion determinant in circular-ensemble eigenvalue correlations (Dyson's desideratum)

    14. Existence and summability of the renormalized perturbation series of four-dimensional quantum electrodynamics (the surviving core of Dyson's 1949 convergence question)

    15. Search for artificial stellar sources of infrared radiation: detecting star-enclosing artificial structures (Dyson spheres) or bounding their prevalence in the Galaxy

    16. Spontaneous magnetization and long-range order in the isotropic quantum Heisenberg ferromagnet at positive temperature (d≥3d \geq 3)

    17. Unambiguous Oklo natural-reactor constraints on varying fundamental constants: separating α\alpha from hadronic parameters and controlling reactor systematics

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