The computations of the present text with non‐relativistic quantum teleportation equations and special relativity are totally speculative, physically correct computations can be done using quantum field theory, which remain to be done in future. Proposals for what might be called statistical time loop experiments with, e.g., photon polarization states are described when assuming the simplified non‐relativistic quantum teleportation equations and special relativity. However, a closed time loop would usually not occur due to phase incompatibilities of the quantum states. Histories with such phase incompatibilities are called inconsistent ones in the present text, and it is assumed that only consistent histories would occur. This is called an exclusion principle for inconsistent histories, and it would yield that probabilities for certain measurement results change. Extended multiple parallel experiments are proposed to use this statistically for transmission of classical information over distances, and regarding time. Experiments might be testable in near future. However, first a deeper analysis, including quantum field theory, remains to be done in future.
The computations of the present text with non‐relativistic quantum teleportation equations and special relativity are totally speculative, physically correct computations can be done using quantum field theory, which remain to be done in future. Proposals for what might be called statistical time loop experiments with, e.g., photon polarization states are described when assuming the simplified non‐relativistic quantum teleportation equations and special relativity. However, a closed time loop would usually not occur due to phase incompatibilities of the quantum states. Histories with such phase incompatibilities are called inconsistent ones in the present text, and it is assumed that only consistent histories would occur. This is called an exclusion principle for inconsistent histories, and it would yield that probabilities for certain measurement results change. Extended multiple parallel experiments are proposed to use this statistically for transmission of classical information over distances, and regarding time. Experiments might be testable in near future. However, first a deeper analysis, including quantum field theory, remains to be done in future.
Using the usual simplified quantum teleportation theory of Bennett et al. we describe a scheme to teleport an unknown quantum multiple times and combine this scheme with results from special relativity. This would yield the prediction that it is possible to teleport an arbitrary unknown quantum state within an experimental setup with given probability to a point slightly within the past of the starting point. Using these results we give a theoretical proposal for that what one might call a time loop experiment with photons. The polarization state of a photon is teleported to a far distant location with given probability, and from there within a second quantum teleportation setup, which moves with high speed in direction to the distant point, back close to the starting point with given probability. Due to special relativity, for a suitable experimental setup, the final photon would be close to the starting point, however, slightly in the past of it. Using appropriate moving and non‐moving mirrors the frequency of the latter photon might be shifted so that it equals that of the starting photon. The polarization phase of the final photon could be shifted using non‐moving mirrors. Then the final photon might be used as input instead of the original photon completing in principle a space time loop. Adjusting the time loop parameters in a certain way, and including some transformations, an in principle instantaneous quantum teleportation with in principle 100% success rate might be achieved. The experiment would lead to a very slight extension of the no‐cloning theorem: an arbitrary unknown quantum cannot be cloned, except within certain time loop experiments. The original no‐cloning theorem would remain almost unchanged, because we cannot ascertain a cloned unknown state in the time loop experiment, and therefore, we cannot use these special clones, as it is well known, to transmit classical information superluminally, and we cannot transmit it into the past. The extension of the no‐cloning theorem would be due to the fact that special relativity is taken into account in our analysis. Further extensions of the experiments are described, and the results are discussed. The case that the accuracy necessary for these loop experiments cannot be achieved practically is discussed. This might lead to interesting effects, e.g. to a suppression of the generation of EPR‐pairs, which yields that the corresponding photon detectors do not detect such photons. An analysis beyond this usual quantum teleportation and relativity theory which will include quantum field theory remains to be conducted in future.
To a certain extend experimental quantum teleportation has been demonstrated. A minimal scheme to teleport an unknown quantum multiple times is described which can be used for chaining of quantum teleportation. The scheme is combined with results from special relativity. A conventional idealized computation is conducted which would yield the predictions that it would be possible to teleport with given idealized probability an unknown quantum state to a point in spacetime which is, e.g., slightly within the past of the starting point. Conducting this scheme in a certain way multiple times would lead to the idealized predictions that multiple special kinds of perfect clones of an unknown quantum state can be obtained with given probability. A feature of such clones is elucidated according to which one may call them ‘dependent’ clones. The results are in accordance with the no‐cloning theorem, because the clones would be generated only with given idealized probability, and, of course, using this scheme classical information cannot be transmitted superluminal, and it cannot be transmitted into the past. Quantum states, idealized probabilities for the different possible states, and parameters for the experiments are computed.
To a certain extend experimental quantum teleportation has been demonstrated. A minimal scheme to teleport an unknown quantum multiple times is described which can be used for chaining of quantum teleportation. The scheme is combined with results from special relativity. A conventional idealized computation is conducted which would yield the predictions that it would be possible to teleport with given idealized probability an unknown quantum state to a point in spacetime which is, e.g., slightly within the past of the starting point. Conducting this scheme in a certain way multiple times would lead to the idealized predictions that multiple special kinds of perfect clones of an unknown quantum state can be obtained with given probability. A feature of such clones is elucidated according to which one may call them ‘dependent’ clones. The results are in accordance with the no-cloning theorem, because the clones would be generated only with given idealized probability, and, of course, using this scheme classical information cannot be transmitted superluminal, and it cannot be transmitted into the past. Quantum states, idealized probabilities for the different possible states, and parameters for the experiments are computed.
The quantum principle of relativity (QPR) puts forward an ambitious idea: extend special relativity with a formally superluminal branch of Lorentz-type maps, and treat the resulting consistency constraints as hints about why quantum theory has the structure it does [1]. The discussion that followed has emphasized a basic point: writing down coordinate maps is not the same thing as providing a physical theory. In particular, quantum superposition is not operationally defined by drawing multiple paths on paper: it is defined by what happens when alternatives recombine in an interference loop [2, 3]. In parallel, careful 1+1 analyses have clarified how sign conventions and time-orientation choices enter the superluminal formulas [4]. Finally, tachyonic QFT proposals suggest a possible mathematical bridge via an enlarged (twin) Hilbert space [5], although this proposal remains contested (e.g., on commutator covariance and microcausality grounds) [6]. The aim of this short note is organizational. We keep three layers separate: (K) kinematics (which maps exist and what they preserve), (O) operational content (what an experiment must actually reproduce, especially closed-loop interference), and (D/B) dynamics and bridges (how amplitudes and probabilities are generated, and how subluminal and superluminal sectors might be linked). The goal is not relativity derives quantum theory, but a clear checklist of what must be added for that ambition to become a well-posed programme.
I n the early 20th century, the groundbreaking theories of quantum mechanics and special relativity emerged at roughly the same time.At first, both theories appeared to be entirely incompatible with each other.While the quantum equations written out by Erwin Schrödinger and Wolfgang Pauli dealt with the behaviours of electrons, atoms, and molecules moving at speeds encountered in classical physics, the rules of special relativity first imagined by Albert Einstein described the behaviour of matter moving at close to the speed of light.Initially, this apparent clash of theories presented a crisis in physics.However, in the late 1920s, further theoretical work carried out by physicists including Paul Dirac, Oskar Klein, and Walter Gordon culminated in a new set of equations, which proved definitively that quantum mechanics and special relativity are compatible with each other after all. An educational challengeYet with this groundbreaking discovery came an entirely new problem.In adding a new layer of complexity to the equations of non-relativistic quantum mechanics, the more complete theories of relativistic
A relativistic version of the (consistent or decoherent) histories approach to quantum theory is developed on the basis of earlier work by Hartle, and used to discuss relativistic forms of the paradoxes of spherical wave packet collapse, Bohm's formulation of the Einstein-Podolsky-Rosen paradox, and Hardy's paradox. It is argued that wave function collapse is not needed for introducing probabilities into relativistic quantum mechanics, and in any case should never be thought of as a physical process. Alternative approaches to stochastic time dependence can be used to construct a physical picture of the measurement process that is less misleading than collapse models. In particular, one can employ a coarse-grained but fully quantum-mechanical description in which particles move along trajectories, with behavior under Lorentz transformations the same as in classical relativistic physics, and detectors are triggered by particles reaching them along such trajectories. States entangled between spacelike separate regions are also legitimate quantum descriptions, and can be consistently handled by the formalism presented here. The paradoxes in question arise because of using modes of reasoning which, while correct for classical physics, are inconsistent with the mathematical structure of quantum theory, and are resolved (or tamed) by using a proper quantum analysis. In particular, there is no need to invoke, nor any evidence for, mysterious long-range superluminal influences, and thus no incompatibility, at least from this source, between relativity theory and quantum mechanics.