Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.
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Towards singularity and ghost free theories of gravity
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abstract
We present the most general covariant ghost-free gravitational action in a Minkowski vacuum. Apart from the much studied f(R) models, this includes a large class of non-local actions with improved UV behavior, which nevertheless recover Einstein's general relativity in the IR.
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Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
A PPT witness criterion is proposed to detect graviton-mediated entanglement between photons and matter qubits, attaining a maximal negativity of -0.052 for non-maximally entangled states when the photon coherent-state overlap satisfies 0.71 ≤ |γ| < 1.
Fractional powers in QFT kinetic terms can be consistently formulated in Minkowski space using fakeon methods, yielding multiple inequivalent theories that match in Euclidean space, with standard identities preserved.
Generalized hybrid metric-Palatini gravity propagates a massless spin-2 mode and two massive scalars in the weak field; stability requires algebraic conditions on f derivatives at flat space, and planetary data constrain the scalar masses in a hierarchical regime.
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
A matter-wave interferometer with a Schrödinger cat state displaces the graviton vacuum into coherent states, with the left-right overlap providing a gravitational contrast that quantifies entanglement between matter and the quantized gravitational field.
Exact Hawking area law from black hole mergers restricts quantum gravity to singular Ricci-flat or specific regular black holes in Stelle and nonlocal theories, derives the standard entropy-area law, and realizes Barrow fractal black holes.
Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.
Causality is a misleading metaphysical concept that should be abandoned in fundamental physics, making renouncing microcausality acceptable for consistent quantum gravity theories such as those using fakeons.
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
citing papers explorer
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Cosmology of fractional gravity
Fractional gravity yields stable de Sitter expansion and exact bouncing solutions driven by phantom (w < -1) or ghost (negative energy) fluids, with results independent of the form-factor representation.
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Cancellation of UV divergences in ghost-free infinite derivative gravity
Specific choices of form factors in ghost-free infinite derivative gravity cancel all one-loop logarithmic UV divergences except the Gauss-Bonnet term and a surface term.
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Witnessing entanglement between photon and matter due to graviton exchange
A PPT witness criterion is proposed to detect graviton-mediated entanglement between photons and matter qubits, attaining a maximal negativity of -0.052 for non-maximally entangled states when the photon coherent-state overlap satisfies 0.71 ≤ |γ| < 1.
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Fractions and Fakeons in Quantum Field Theory
Fractional powers in QFT kinetic terms can be consistently formulated in Minkowski space using fakeon methods, yielding multiple inequivalent theories that match in Euclidean space, with standard identities preserved.
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Another Look at the Weak-Field Limit of Generalized Hybrid Metric-Palatini Gravity
Generalized hybrid metric-Palatini gravity propagates a massless spin-2 mode and two massive scalars in the weak field; stability requires algebraic conditions on f derivatives at flat space, and planetary data constrain the scalar masses in a hierarchical regime.
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The Spectrum of Quantum Gravity
Higher-order curvature operators like R□R add new poles and shift existing ones in the graviton propagator, with a method to correctly derive the Einstein frame action illustrated for f(R) gravity.
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Quantum gravitational contrast in creating Schr\"odinger cat state
A matter-wave interferometer with a Schrödinger cat state displaces the graviton vacuum into coherent states, with the left-right overlap providing a gravitational contrast that quantifies entanglement between matter and the quantized gravitational field.
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Hawking area law in quantum gravity
Exact Hawking area law from black hole mergers restricts quantum gravity to singular Ricci-flat or specific regular black holes in Stelle and nonlocal theories, derives the standard entropy-area law, and realizes Barrow fractal black holes.
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Eikonal, nonlocality and regular black holes
Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.
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On Causality and Predictivity
Causality is a misleading metaphysical concept that should be abandoned in fundamental physics, making renouncing microcausality acceptable for consistent quantum gravity theories such as those using fakeons.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.