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Conventional wisdom, based on kinematic (flat-space) intuition, tell us that a static twin is aging faster than his traveling twin brother. However, such a situation could be exactly inverted if the two twins are embedded in an external gravitational field, and if the (dynamical) distortion of the spacetime geometry, due to gravity, is strong enough to compensate the kinematic effect of the relative twin motion.
In this paper, we explore the effect of gravity on the flow of proper time near static spherically symmetric black hole possessing an electric charge. We use the Reissner–Nordström metric. In the first case, the traveling twin travels away from the black hole and in the second it travels toward it. We then compare it with the case of relativistic kinematics where the static twin ages faster than the traveling twin.
We derive the relativistic transformation laws for the annihilation operators of the scalar field, the massive spin-1 vector field, the electromagnetic field and the spinor field. The technique developed here involves straightforward mathematical techniques based on fundamental quantum field theory, and is applicable to the study of entanglement in arbitrary coordinate transformations. In particular, it predicts particle creation for non-inertial motion. Furthermore, we present a unified description of relativistic transformations and multi-particle interferometry with bosons and fermions, which encompasses linear optical quantum computing.
In this letter, we give a simple and analytical solution to the twin paradox. It relies just on Lorentz transformations and does not involve accelerated frames or any kind of signals exchanged between the twins. We expect that as a result we can put a dead end to this century-old problem.
This paper deals with the twin paradox within special relativity. The paper reveals the cause of time dilation of the inertial stay-at-home twin occurring, as believed by the non-inertial travelling twin, throughout his motion except for a short-time turn, though it is the stay-at-home twin who by the time of the return of the traveler has aged more. This cause is the absolutization of the individual observer’s state of rest. Certain kinematic solutions to the paradox are given without resorting to a non-inertial reference frame. The existence of such solutions is shown both in special relativity and in Lorentz ether theory.
An analysis of the net proper time difference for a Twin Paradox scenario is shown to require an asymmetric construct such as a special physics frame and also shows that Special Relativity’s time dilation equation does not describe proper time. An analysis of GPS confirms the need for a special physics frame and is sharply at odds with Special Relativity despite claims that GPS uses it.