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Runaway solutions can be avoided in fourth order gravity by a doubling of thematter operator algebra with a symmetry constraint with respect to the exchangeof observable and hidden degrees of freedom together with the change in sign ofthe ghost and the dilaton fields. The theory is classically equivalent toEinstein gravity, while its non-unitary Newtonian limit is shown to lead to asharp transition, around $10^{11}$ proton masses, from the wavelike propertiesof microscopic particles to the classical behavior of macroscopic bodies, aswell as to a trans-Planckian regularization of collapse singularities. Aunified reading of ordinary and black hole entropy emerges as entanglemententropy with hidden degrees of freedom. The emergent picture gives asubstantial agreement with B-H entropy and Hawking temperature.Comment: 31 pages Latex, to appear in Phys. Rev.

Nonunitary higher derivative gravity classically equivalent to Einstein gravity and its Newtonian limit