On evidence for negative energies and masses in the Dirac equation through a unitary time-reversal operator
Open accessAbstract
We review the standards of relativistic quantum mechanics such as the Dirac equation under the concept of negative masses. We show that negative energies are acceptable provided the masses are simultaneously negative. Negative energy and mass anti-fermions are obtained from positive energy and mass fermions through a unitary PT transformation.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The presented equations perfectly agree with corresponding classical equations describing the momentum and spin dynamics, and the agreement also takes place for a spin-1 particle with MDM and EDM.
“The presented equations perfectly agree with corresponding classical equations describing the momentum and spin dynamics [12,90]. The agreement takes also place for a spin-1 particle with MDM and EDM [12,32].”
From <i>Zitterbewegung</i> of massless particles (2022) · cites this paper as [90]
Section 3 discusses momentum and spin under a unitary PT transformation, but does not compare the paper’s equations with classical equations of momentum and spin dynamics. Searches for classical agreement and for a spin-1 particle with MDM and EDM found no passage addressing either claim; page numbers were unavailable in our copy. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Ryder, L. H. (1996) · doi:10.1017/cbo9780511813900 · Cited by 1,281 · see citing works
Flagged first, then by citations
Research works printed but not linked: 22
- 10.1103/RevModPhys.29.423 · DOI · Paper page
- 10.1007/BF00763458 · DOI
- Markov M A, 1937, JETP, 7, 603
- 10.1016/0029-5582(64)90133-6 · DOI
- 10.1142/S0218271813410174 · DOI
- Hammond R T, 2015, Eur. J. of Physics, 36, 10.1088/0143-0807/36/2/025005 · DOI
- 10.1103/PhysRevD.90.101502 · DOI
- 10.1515/zna-2015-0494 · DOI
- 10.1103/PhysRevLett.118.155301 · DOI
- Riess A G, 1998, Astron. J, 116, 1009, 10.1086/300499 · DOI · Paper page
- 10.1142/S021773231450182X · DOI
- 10.1007/s10509-018-3365-3 · DOI
- 10.1002/jccs.201700367 · DOI
- 10.1007/978-3-663-02555-9 · DOI
- Srinivasa Rao K N, 1988, The Rotation and Lorentz Groups and Their Representations for Physicists, 213
- 10.1098/rspa.1928.0023 · DOI · Paper page
- Dvoeglazov V V, 2000, Acta Phys. Slovaca, 50, 629
- Barut A, 1993, Mod. Phys. Lett., 8, 1099
- 10.1142/S0217751X9600105X · DOI
- 10.1103/PhysRev.76.749 · DOI
- Stueckelberg E C G, 1942, Helv. Phys. Acta, 15, 23
- Dirac P A M, 1958, The Principles of Quantum Mechanics
Cited by
Sorted by citations
<i>Zitterbewegung</i> of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11 · see citing works
- Authors
- Debergh, N., Petit, J.-P., & D’Agostini, G.
- Affiliations
- Haute École Charlemagne (BE)
- Corresponding author
- Debergh, N
- Petit, J-P
- D’Agostini, G
- ORCID
- Venue
- Journal of Physics Communications
- Publisher
- IOP Publishing
- Published
- 2018-11-14
- Volume
- 2
- Issue
- 11
- Pages
- 115012
- ISSN
- 2399-6528 (ISSN-L)
- OpenAlex
- W2962990454
- Cited by
- 24
- References
- 1
- Citations by year
- 2026: 3 · 2025: 1 · 2024: 4 · 2023: 4 · 2022: 5 · 2021: 4 · 2020: 2 · 2019: 1
- FWCI
- 0.81
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Journal of Physics Communications (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- Dirac equation, negative energy states, negative mass, antiparticles, relativistic quantum mechanics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review