Consistent Theories of Free Dirac Particle without Singular Predictions
Dirac’s theory is not the unique theory consistent with the physical principles specific of a free spin-one-half particle. In fact, we derive classes of theories of an elementary free particle from the principle of Poincaré’s invariance and from the principle of the covariance of the position. The t...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-12-01
|
| Series: | Particles |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2571-712X/6/1/1 |
| _version_ | 1827977872443179008 |
|---|---|
| author | Giuseppe Nisticò |
| author_facet | Giuseppe Nisticò |
| author_sort | Giuseppe Nisticò |
| collection | DOAJ |
| description | Dirac’s theory is not the unique theory consistent with the physical principles specific of a free spin-one-half particle. In fact, we derive classes of theories of an elementary free particle from the principle of Poincaré’s invariance and from the principle of the covariance of the position. The theory of Dirac is just one of these theories, characterized by singular predictions, namely, the zitterbewegung. Yet, the class here derived contains families of consistent theories without singular predictions. For the time being, the experimental verifiability of these alternative theories is restricted to the predictions of free-particle theories for ideal experiments. |
| first_indexed | 2024-04-09T21:11:52Z |
| format | Article |
| id | doaj.art-4cc298b50e8a4c19920b4455d9983797 |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-04-09T21:11:52Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-4cc298b50e8a4c19920b4455d99837972023-03-28T14:28:09ZengMDPI AGParticles2571-712X2022-12-016111610.3390/particles6010001Consistent Theories of Free Dirac Particle without Singular PredictionsGiuseppe Nisticò0Dipartimento di Matematica e Informatica, Università della Calabria, Via P. Bucci, 30B, I-87036 Rende, ItalyDirac’s theory is not the unique theory consistent with the physical principles specific of a free spin-one-half particle. In fact, we derive classes of theories of an elementary free particle from the principle of Poincaré’s invariance and from the principle of the covariance of the position. The theory of Dirac is just one of these theories, characterized by singular predictions, namely, the zitterbewegung. Yet, the class here derived contains families of consistent theories without singular predictions. For the time being, the experimental verifiability of these alternative theories is restricted to the predictions of free-particle theories for ideal experiments.https://www.mdpi.com/2571-712X/6/1/1Dirac particleDirac’s theoryzitterbewegungconsistent theories without singular features |
| spellingShingle | Giuseppe Nisticò Consistent Theories of Free Dirac Particle without Singular Predictions Particles Dirac particle Dirac’s theory zitterbewegung consistent theories without singular features |
| title | Consistent Theories of Free Dirac Particle without Singular Predictions |
| title_full | Consistent Theories of Free Dirac Particle without Singular Predictions |
| title_fullStr | Consistent Theories of Free Dirac Particle without Singular Predictions |
| title_full_unstemmed | Consistent Theories of Free Dirac Particle without Singular Predictions |
| title_short | Consistent Theories of Free Dirac Particle without Singular Predictions |
| title_sort | consistent theories of free dirac particle without singular predictions |
| topic | Dirac particle Dirac’s theory zitterbewegung consistent theories without singular features |
| url | https://www.mdpi.com/2571-712X/6/1/1 |
| work_keys_str_mv | AT giuseppenistico consistenttheoriesoffreediracparticlewithoutsingularpredictions |