Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time
In Newtonian physics, the equation of motion is invariant when the direction of time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mo stretchy="false">→</mo>...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Quantum Reports |
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| Online Access: | https://www.mdpi.com/2624-960X/4/3/23 |
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| author | Salim Yasmineh |
| author_facet | Salim Yasmineh |
| author_sort | Salim Yasmineh |
| collection | DOAJ |
| description | In Newtonian physics, the equation of motion is invariant when the direction of time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mo stretchy="false">→</mo><mo>−</mo><mi>t</mi></mrow></semantics></math></inline-formula>) is flipped. However, in quantum physics, flipping the direction of time changes the sign of the Schrödinger equation. An anti-unitary operator is needed to restore time reversal in quantum physics, but this is at the cost of not having a consistent definition of time reversal applicable to all fundamental theories. On the other hand, a quantum system composed of a pair of entangled particles behaves in such a manner that when the state of one particle is measured, the second particle ‘simultaneously’ acquires a determinate state. A notion of absolute simultaneity seems to be inferred by quantum mechanics, even though it is forbidden by the postulates of relativity. We aim to point out that the above two problems can be overcome if the wavefunction is defined with respect to proper time, which in fact is the real physical time instead of ordinary time. |
| first_indexed | 2024-03-09T22:40:55Z |
| format | Article |
| id | doaj.art-b5cae8332e344882996dfedf3e770ec1 |
| institution | Directory Open Access Journal |
| issn | 2624-960X |
| language | English |
| last_indexed | 2024-03-09T22:40:55Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Quantum Reports |
| spelling | doaj.art-b5cae8332e344882996dfedf3e770ec12023-11-23T18:40:04ZengMDPI AGQuantum Reports2624-960X2022-09-014332433710.3390/quantum4030023Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper TimeSalim Yasmineh0PhD from University of Paris, Independent Researcher, Toulouse 31500, FranceIn Newtonian physics, the equation of motion is invariant when the direction of time (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>t</mi><mo stretchy="false">→</mo><mo>−</mo><mi>t</mi></mrow></semantics></math></inline-formula>) is flipped. However, in quantum physics, flipping the direction of time changes the sign of the Schrödinger equation. An anti-unitary operator is needed to restore time reversal in quantum physics, but this is at the cost of not having a consistent definition of time reversal applicable to all fundamental theories. On the other hand, a quantum system composed of a pair of entangled particles behaves in such a manner that when the state of one particle is measured, the second particle ‘simultaneously’ acquires a determinate state. A notion of absolute simultaneity seems to be inferred by quantum mechanics, even though it is forbidden by the postulates of relativity. We aim to point out that the above two problems can be overcome if the wavefunction is defined with respect to proper time, which in fact is the real physical time instead of ordinary time.https://www.mdpi.com/2624-960X/4/3/23proper timetime reversalsimultaneitywavefunction |
| spellingShingle | Salim Yasmineh Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time Quantum Reports proper time time reversal simultaneity wavefunction |
| title | Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time |
| title_full | Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time |
| title_fullStr | Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time |
| title_full_unstemmed | Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time |
| title_short | Simultaneity and Time Reversal in Quantum Mechanics in Relation to Proper Time |
| title_sort | simultaneity and time reversal in quantum mechanics in relation to proper time |
| topic | proper time time reversal simultaneity wavefunction |
| url | https://www.mdpi.com/2624-960X/4/3/23 |
| work_keys_str_mv | AT salimyasmineh simultaneityandtimereversalinquantummechanicsinrelationtopropertime |