Paul Dirac

Record year1928

summaryProposed a relativistic electron equation and derived from its theoretical requirements the prediction of a particle with the same mass and opposite charge. C. D. Anderson discovered the positron in 1932, and Blackett and Occhialini observed related phenomena in 1933; experimental confirmation is not credited as Dirac's discovery.

M rationaleM6.8 approaches Maxwell's field–light M7: it combines special relativity with quantum electron description and gives a new-particle prediction later independently confirmed. The scope remains one class of particle equation and verification, below a broader upper bound of physical unification.

attribution rationaleDirac receives 0.60 for the equation and theoretical prediction; the prior history of quantum mechanics and special relativity, 0.20; Anderson's independent discovery, 0.08; confirmation by Blackett and Occhialini, 0.07; unknown, 0.05. The experimental share acknowledges terminal verification and does not attribute the discovery back to the theoretical author.

overlap boundaryTreat the 1928 relativistic electron equation, its required prediction of a particle with equal mass and opposite-sign charge, Anderson's 1932 discovery, and the independent confirmation supplied by Blackett–Occhialini's 1933 pair-production/annihilation observations as one theory–verification chain. Do not split the equation from the prediction; do not describe the experimental discovery as Dirac's personal experimental delivery. Exclude all later antiparticles and particle physics.

Evidence gapsThe 1928 original text has not been checked equation by equation. ; The experimental-confirmation share is a provisional normative estimate, not a measurement of paper workload.

Record year1926

summaryDeveloped transformation theory and a more general formal language for quantum dynamics against the background in which matrix mechanics and wave mechanics had already appeared, providing quantization rules for arbitrary dynamical systems.

M rationaleM6.3 reflects a foundational method usable to quantize arbitrary dynamical systems and unify existing quantum formulations, slightly above Maxwell transport M6 and bounded computational architectures M5; it is below the broader unification of physical theory M7. Radiation theory consumes only this formal foundation and cannot use its full generality to raise M again.

attribution rationaleDirac receives 0.65 for the general transformation form and organization of quantum dynamics; the prior history of matrix and wave mechanics by Heisenberg, Schrödinger, Born, Jordan, and others, 0.25; the Copenhagen and Cambridge research environment, 0.05; unknown, 0.05.

overlap boundaryTreat transformation theory and the formal language of quantum dynamics from 1926–1927 as one family of methods, limited to more general rules for quantization, states, and dynamical transformations among existing frameworks such as matrix mechanics and wave mechanics. Exclude the 1927 radiation theory, the 1928 relativistic electron equation, and later independent results such as Heisenberg's uncertainty relation.

Evidence gapsThe 1926/1927 original texts have not been checked page by page. ; The boundary between specific propositions and the prior history of matrix and wave mechanics remains to be calibrated.

Record year1926

summaryIt gives the statistical law for systems of indistinguishable particles subject to exclusion constraints. In 1926, the exclusion principle was applied to establish quantum statistics for half-integer-spin particles; Fermi and Dirac independently arrived at a common completed outcome. It does not backfill all condensed-matter and astrophysical applications.

M rationaleThe Nobel biography and Italian history-of-science archives confirm Fermi's priority, Dirac's independent arrival at the same conclusion, and broad applicability; as a foundational statistical method, it is rated M6.8.

attribution rationaleFermi 0.43, Dirac 0.29, Pauli 0.10, statistical prehistory 0.10, institutions 0.03, unresolved 0.05.

overlap boundaryIn 1926, the exclusion principle was used to establish quantum statistics for half-integer-spin particles, with Fermi and Dirac independently arriving at a common completed outcome; not all condensed-matter and astrophysical applications are backfilled.

Evidence gapsA formula-by-formula comparison of the original papers is needed to identify differences between Fermi's and Dirac's independent formulations.

Record year1927

summaryPublished a quantum theory of radiation emission and absorption, providing a distinct original contribution to early quantum-field tools and language; this item does not attribute the entirety of quantum electrodynamics to one person's invention.

M rationaleM5.7 is slightly below Maxwell transport M6: the paper provided a key method for quantum radiation and field language, but the current evidence is insufficient to credit it with founding all of QED. It is above the specialized architecture of ACE M5 because the method entered a continually expanding domain of foundational physics problems.

attribution rationaleDirac as author of the 1927 original work, 0.65; the existing prior history of quantum, radiation, and field theory, 0.25; unknown, 0.10. Transformation theory receives its substantive value from the prior item; this item recognizes it only as an input.

overlap boundaryTake only the independent increment in the 1927 theory of radiation emission and absorption that organized radiation interactions into early quantum-field tools and language. Transformation theory, as an already consumed foundation, does not repeat its general formal value; exclude Heisenberg–Pauli field quantization, Fermi's later theory, full QED, and renormalization.

Evidence gapsThe independent scope of adoption for each radiation paper has not been established. ; The 1927 original text has not been read in full.

Record year1949

summaryIn lectures and a 1950 paper, extended the Hamiltonian form to constrained cases in which momenta are not independent of velocities, and discussed its relationship to quantization and relativistic processes.

M rationaleM5.6 is above ACE M5 because the method can be reused across several kinds of singular dynamical systems; it is below Maxwell transport M6 and Dirac's broader family of quantum foundations. The prior work of Rosenfeld and Bergmann limits personal attribution, not M.

attribution rationaleDirac's general form and delivery in lectures and papers, 0.60; Rosenfeld's early constrained procedure, 0.10, and Bergmann's related route, 0.10; the prior history of Hamiltonian form, relativity, and quantization, 0.15; unknown, 0.05.

overlap boundaryTreat the 1949 lectures, the 1950 paper on generalized Hamiltonian dynamics, and related 1964 lectures as one family of methods for constrained/singular dynamics, limited to a form that remains quantizable and applicable to relativistic processes when momenta are not independent of velocities. Exclude all applications of Dirac brackets, gauge field theory, canonical general relativity, and quantum gravity.

Evidence gapsThe original edition of the 1964 lectures has not been checked. ; The precise mapping between the 1950 original text and later constrained-system terminology remains to be calibrated.

Record year1929

M rationaleIt applies canonical quantization to interacting fields and integrates invariance, conserved quantities, and connections between field and particle formulations; it is rated M7.0. The boundary excludes postwar renormalization, all modern quantum field theory, and all subsequent applications.

attribution rationaleHeisenberg 32%, Pauli 32% counted as joint theoretical construction; Jordan, Dirac, Weyl, Fermi and other precursor inputs, as well as direct inputs from the publishing institution and the first original paper still unresolved, retain the remaining budget.

Evidence gapsThe first original paper has not yet been read and verified; there remain gaps in the internal work split between the two authors and in the complete transmission chain toward renormalized quantum field theory.

Record year1931

summaryProposed theoretical propositions related to magnetic monopoles and the charge-quantization condition in a construction of electromagnetic fields with quantized singularities.

M rationaleM4.8 is for a theoretically well-defined construction that supports continuing research but has no particle detection; it is below delivered architectures near ACE M5 and substantially below the experimentally confirmed relativistic electron equation. A theoretical proposal does not become zero merely because it has not been detected.

attribution rationaleDirac as author of a single theoretical construction, 0.70; the prior history of electromagnetism, quantum theory, and relevant mathematics, 0.20; unchecked inputs, 0.10. Eddington's recommendation for publication was delivery support and does not constitute a theoretical share.

overlap boundaryCount only the 1931 construction of electromagnetic fields with quantized singularities, the theoretical proposition of magnetic monopoles, and the charge-quantization condition. Do not count experimental detection of monopoles, later monopole searches, gauge theory, or any particle reality that remains unconfirmed.

Evidence gapsThe original text has not been checked paragraph by paragraph for the charge-quantization derivation. ; There is no monopole detection, so M assesses only the theoretical construction.

Record year1926

summaryIn 1926, under Ralph Fowler's supervision, taught one of the earliest quantum-mechanics courses at a British university; the early lecture notes developed into The Principles of Quantum Mechanics in 1930 and served for a long time as a textbook used by students and researchers.

M rationaleM4.2 reflects decades of sustained public knowledge service through courses and a standard textbook, above a one-off lecture or a general tool at M3; lacking learner coverage and educational counterfactuals, it is below ontological theoretical methods.

attribution rationaleDirac as teacher and author, 0.75; Fowler's supervision and course formation, 0.05; Cambridge as host, 0.05; editing and publishing, 0.05; the shared prior knowledge of quantum courses, 0.05; unknown, 0.05.

overlap boundaryCount only an early quantum course at a British university in 1926, continued teaching from 1927 through the 1960s, and the knowledge delivery whereby lecture notes became The Principles of Quantum Mechanics in 1930 and a standard work. Research conclusions in the book are consumed by the preceding five items and are not repeated by chapter or edition; do not claim students' future research.

Evidence gapsCourse rosters, teaching hours, circulation, and learning effects are missing.

Record year1927

M rationaleThe relation entered quantum science globally across generations and belongs at the M6 scale of globally significant scientific foundations; it is a foundational limiting relation, rather than complete quantum mechanics, the whole interpretation of measurement, or cross-domain civilizational infrastructure, so it does not rise to M7. The M value rests on the result's disciplinary coverage and enduring effect, not on whether the original paper currently lacks pages.

attribution rationaleHeisenberg receives 68% for the original proposal and paper delivery of the relation; Bohr's interpretive discussion, the existing formal frameworks of Born, Jordan, Dirac, and others, publishing institutions, and unresolved precursor inputs retain the remaining budget.

Evidence gapsThe 1927 original text has not yet been checked page by page; later rigorous forms, generalized relations, and the scope of cross-domain adoption are not developed in this candidate.

Record year1927–1928

M rationaleThe seven-part public framework organizes observation, definition, and existing wave-particle descriptions; it remains disputed and does not claim the uniquely correct solution.

attribution rationaleRetain the existing full budget; Heisenberg's 4% counts only discussion input directly connected to the complementarity framework, while Bohr's synthesis, other contributors, publishing institutions, and the unallocated remainder are all retained; this round does not re-adjudicate it.

Evidence gapsRetain the originally adopted result; this round did not re-examine the complete original journal text, scope of dispute, or full budget.