A. Feoli

Quantum corrections to the spacetime metric from geometric phase space quantization

We consider the possibility that the physical spacetime of a quantum particle may be regarded as a four-dimensional hypersurface locally embedded in eightdimensional phase space. We show that, as a consequence, accelerated particles are seen to live in a curved spacetime, and, in the particular case of uniform acceleration, we are led to a generalization of the Rindler metric which implies, for a uniformly accelerated particle, a discrete energy spectrum.

Schwarzschild field with maximal acceleration corrections

Abstract We consider a model in which accelerated particles experience line-elements with maximal acceleration corrections. When applied to the Schwarzschild metric, the effective field experienced by accelerated test particles contains corrections that vanish in the limit ℏ→0, but otherwise affect the behaviour of matter greatly. A new effect appears in the form of a spherical shell, external to the Schwarzschild sphere, impenetrable to classical particles.

Functionals linear in curvature and statistics of helical proteins

Abstract It is shown that proceeding from the spiral stationary form of the protein chains one can deduce, in a unique way, the explicit expression for the relevant free energy. Namely, the free energy density should be a linear function of the curvature k of the curve which describes the shape of the central line of the protein molecule. Minimization of this energy gives for the pitch-to-radius ratio of the helices the value 2π. The model also enables one to estimate qualitatively the release of the free energy under the transition of the protein chain from the straight line form to the spiral form. The free energy we propose implies, in particular, that the effective bending energy of the protein chain is not proportional to k 2 , as it is usually adopted in the physics of semi-flexible polymers, but this energy is linear in the curvature k. The relation of this model to the rigid relativistic particles and strings is briefly discussed. The consideration relies on proving the complete integrability of the variational equations for the functionals defined on smooth curves and dependent on the curvature of these curves.

Thin shell quantization in Weyl spacetime

We study the problem of quantization of thin shells in a Weyl–Dirac theory by deriving a Wheeler–DeWitt equation from the dynamics. Solutions are found which have interpretations in both cosmology and particle physics.

Maximal acceleration of photons with effective mass. Frequency shift in cavity resonators

Abstract Some geometrical models with maximal acceleration predict that massive particles will experience gravitational fields produced by their own acceleration. The effect is extremely small for most particles. For photons with effective mass produced in cavities the effect shifts the peak resonant frequency. This shift is in principle measurable.

OPTICS OF SPIN-1 PARTICLES FROM GRAVITY-INDUCED PHASES

The Maxwell and Maxwell–de Rham equations can be solved exactly to first order in an external gravitational field. The gravitational background induces phases in the wave functions of spin-1 particles. These phases yield the optics of the particles without requiring any thin lens approximation.

Radiation Bursts from Particles in the Field of Compact, Impenetrable, Astrophysical Objects

The radiation emitted by charged, scalar particles in a Schwarzschild field with maximal acceleration corrections is calculated classically and in the tree approximation of quantum field theory. In both instances the particles emit radiation that has characteristics similar to those of gamma-ray bursters.

MAXIMAL ACCELERATION TUNNELING FROM “NOTHING”

We find the Wheeler-DeWitt equation for a Friedman-Robertson-Walker metric modified according to a model with maximal acceleration and discuss the new conditions in which the wave function of the universe tunnels from the Euclidean regime to the Lorentzian one. We argue that the acceleration induces a nonminimal coupling of the scalar field with the gravitational degrees of freedom and provides a new dynamical possibility of tunneling through the quantum boundary when

De Broglie Matter Waves from the Linearized Einstein Field Equations

|\ddot{x}^\mu \ddot{x}_\mu| \to A_{\max}^2

OSCILLATING UNIVERSE AS EIGENSOLUTIONS OF COSMOLOGICAL SCHRÖDINGER EQUATION

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