Spin and entanglement in general relativity

Horwitz, L. P.

doi:10.1140/epjp/s13360-020-00967-8

Cited by 4 publications

(2 citation statements)

References 30 publications

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“…Further, as noted in the introduction, TQM is a part of the Relativistic Dynamics program so TQM can draw on the extensive Relativistic Dynamics literature. In particular we can take advantage of Horwitz's extension of Relativistic Dynamics to General Relativity [100,103,104].…”

Section: Figure Of Meritmentioning

confidence: 99%

Time dispersion in quantum electrodynamics

Ashmead

2023

J. Phys.: Conf. Ser.

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If we use the path integral approach, we can write quantum electrodynamics (QED) in a way that is manifestly relativistic. However the path integrals are confined to paths that are on mass-shell. What happens if we extend QED by computing the path integrals over all paths in energy momentum space, not only those on mass-shell? We use the requirement of covariance to do this in an unambiguous way. This gives a QED where the time/energy components appear in a way that is manifestly parallel to the space/momentum components: we have dispersion in time, entanglement in time, full equivalence of the Heisenberg uncertainty principle (HUP) in time to the HUP in space, and so on. Entanglement in time has the welcome side effect of eliminating the ultraviolet divergences. We recover standard QED in the long time limit. We predict effects at scales of attoseconds. With recent developments in attosecond physics and in quantum computing, these effects should be detectable. Since the predictions are unambiguous and testable the approach is falsifiable. Falsification would sharpen our understanding of the role of time in QED. Confirmation would have significant implications for attosecond physics, quantum computing and communications, and quantum gravity.

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Section: Figure Of Meritmentioning

confidence: 99%

Time dispersion in quantum electrodynamics

Ashmead

2023

J. Phys.: Conf. Ser.

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“…There are a number of analyses of quantum matter moving in a curved space, including [74][75][76][77][78]164]. Any of those might serve as a starting point for the analysis here.…”

Section: Quantum Matter/classical Gravity Interactionsmentioning

confidence: 99%

A Renormalizable Model of Quantum Gravity

Ashmead

2023

Preprint

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Two main problems stand in the way of unifying quantum mechanics and general relativity. First, the treatment of time and space in quantum electrodynamics (QED) is not fully covariant. Second, the ultraviolet divergences in QED are not renormalizable. In previous work, we ad- dressed the rst problem by promoting time from parameter to operator: with this the treatment of time and space in QED became fully covari- ant. The most obvious prediction was additional dispersion in time at the attosecond scale; such eects are falsiable with current technology. As an unexpected but welcome side-eect, this regularized the ultraviolet divergences in QED. We therefore ask \will promoting time to opera- tor regularize the ultraviolet divergences in quantum general relativity (QGR)?" Using the existing literature on QGR as a base, we show we can rewrite QGR with time as an operator. And that the ultraviolet diver- gences are contained in QGR just as they are in QED. We show that there are feasible tests which can distinguish between standard QGR and TGR. We conclude that TGR represents a renormalizable model of quantum gravity which is consistent with existing observational and experimental evidence and which is falsiable in principle.

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Does the Heisenberg uncertainty principle apply along the time dimension?

Ashmead

2021

J. Phys.: Conf. Ser.

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Does the Heisenberg uncertainty principle (HUP) apply along the time dimension in the same way it applies along the three space dimensions? Relativity says it should; current practice says no. With recent advances in measurement at the attosecond scale it is now possible to decide this question experimentally. The most direct test is to measure the time-of-arrival of a quantum particle: if the HUP applies in time, then the dispersion in the time-of-arrival will be measurably increased. We develop an appropriate metric of time-of-arrival in the standard case; extend this to include the case where there is uncertainty in time; then compare. There is – as expected – increased uncertainty in the time-of-arrival if the HUP applies along the time axis. The results are fully constrained by Lorentz covariance, therefore uniquely defined, therefore falsifiable. So we have an experimental question on our hands. Any definite resolution would have significant implications with respect to the role of time in quantum mechanics and relativity. A positive result would also have significant practical applications in the areas of quantum communication, attosecond physics (e.g. protein folding), and quantum computing.

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Spin and entanglement in general relativity

Cited by 4 publications

References 30 publications

Time dispersion in quantum electrodynamics

Time dispersion in quantum electrodynamics

A Renormalizable Model of Quantum Gravity

Does the Heisenberg uncertainty principle apply along the time dimension?

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