Nonunitary HD gravity classically equivalent to Einstein gravity and its Newtonian limit

Abstract

Runaway solutions can be avoided in fourth order gravity by a doubling of the matter operator algebra with a symmetry constraint with respect to the exchange of observable and hidden degrees of freedom together with the change in sign of the ghost and the dilaton fields. The theory is classically equivalent to Einstein gravity, while its non-unitary Newtonian limit is shown to lead to a sharp transition, around $10^{11}$ proton masses, from the wavelike properties of microscopic particles to the classical behavior of macroscopic bodies, as well as to a trans-Planckian regularization of collapse singularities. A unified reading of ordinary and black hole entropy emerges as entanglement entropy with hidden degrees of freedom. The emergent picture gives a substantial agreement with B-H entropy and Hawking temperature.

31 pages Latex, to appear in Phys. Rev. D

References in corpus (4)

• Experimental long-lived entanglement of two macroscopic objects
• Living with Ghosts
• Cosmological and black hole brane-world Universes in higher derivative gravity
• Quantum Approach to a Derivation of the Second Law of Thermodynamics

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• Nonunitary Newtonian Gravity Makes Semiclassical Gravity Viable for All Practical Purposes