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 parti...

We propose a generalization of the standard geometric formulation of quantum mechanics, based on the classical Nambu dynamics of free Euler tops. This extended quantum mechanics has in lieu of the standard exponential time evolution, a nonlinear temporal evolution given by Jacobi elliptic functions. In the limit where latter’s moduli parameters are set to zero, the usual geometric formulation o...

We argue that generic nonrelativistic quantum field theories with a holographic description are dual to Hořava gravity. We construct explicit examples of this duality embedded in string theory by starting with relativistic dual pairs and taking a nonrelativistic scaling limit.

A cyclic nature of quantum mechanical clock is discussed as “quantization of time.” Quantum mechanical clock is seen to be equivalent to the relativistic classical clock. John von Neumann proposed a problem [1] in 1932 in the footnote on page 6 of the English translation [2] of his book “Die Mathematische Grundlagen der Quantenmechanik,” Springer-Verlag, Berlin: – in all attempts to develop a g...

The free Schrödinger equation is shown to be a consequence of spacetime homogeneity in the non-relativistic domain. This may help understand the origin of the wave equations in quantum theory.

2 Relativistic theory of NMR shieldings and spin-spin coupling constants 3 2.1 Relativity in quantum chemistry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Nuclear shieldings and spin-spin couplings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.3 Computational methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

The question raised by Shimony and Stein is examined and used to explain in more detail a key point of my proof that any theory that conforms to certain general ideas of orthodox relativistic quantum field theory must permit transfers of information over spacelike intervals. It is also explained why this result is not a problem for relativistic quantum theory, but, on the contrary, opens the do...

A q-deformed free spinning relativistic particle is discussed in the framework of the Lagrangian formalism. Three equivalent Lagrangians are obtained for this system which are endowed with q-deformed local (super)gauge symmetries and reparametrization invariance. It is demonstrated that these symmetries are on-shell equivalent only for q = ±1 under particular identification of the transformatio...

In a relativistic theory of quantum information, the possible presence of horizons is a complicating feature placing restrictions on the transmission and retrieval of information. We consider two inertial participants communicating via a noiseless qubit channel in the presence of a uniformly accelerated eavesdropper. Owing to the Unruh effect, the eavesdropper’s view of any encoded information ...

quantum theory poses itself to be a challenging counterpart to the intelligent design argument. quantum physics founded upon uncertainty, probability and statistics has exerted great influence since its inception on the philosophical thinking of man. the findings of this theory has helped bring about a dramatic transformation in the notion of ‘order in nature.’ in modern physics, it is hardly p...