Luca Eliseo Pavesi

Quantum Distortion Gravity: Hidden Matter Sectors and the Fixed Point of the Einstein–Hilbert Flow

A first version of this work argued that asymptotic safety of Quantum Distortion Gravity (QDG) requires a sufficiently large hidden sector. That conclusion was drawn from a phenomenological one-loop flow whose gravitational functions are not derived from the Einstein–Hilbert acti...

The Geometry of the Fixed-Point Set of the Einstein–Hilbert Flow with Matter: a Cuspidal Cubic, a Bogdanov–Takens Point and a Periodic Renormalization-Group Orbit

We study the dependence of the ultraviolet fixed point of the derived Einstein–Hilbert flow with minimally coupled matter (optimised cutoff, harmonic gauge) on the matter content $(X,Y)$, treating $X$ and $Y$ as continuous parameters. Three exact results are proved. (i) The fixed...

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Quantum Distortion Gravity: A Complete One-Loop Analysis of the Minimal Truncation

We present a complete, self-contained analysis of the one-loop functional renormalization group (FRG) flow of Quantum Distortion Gravity (QDG), a metric-affine framework with gauged Weyl symmetry. We derive the classical foundations from first principles: the irreducible decompos...

Quantum Distortion Gravity: A Complete One-Loop Analysis of the Minimal Truncation

We present a complete, self-contained analysis of the one-loop functional renormalization group (FRG) flow of Quantum Distortion Gravity (QDG), a metric-affine framework with gauged Weyl symmetry. We derive the classical foundations from first principles: the irreducible decompos...

Quantum Distortion Gravity: A Complete One-Loop Analysis of the Minimal Truncation

We present a complete, self-contained analysis of the one-loop functional renormalization group (FRG) flow of Quantum Distortion Gravity (QDG), a metric-affine framework with gauged Weyl symmetry. We derive the classical foundations from first principles: the irreducible decompos...

Prime-shift operators on Björner's complex of squarefree integers: an exact kernel decomposition of the Mertens residual with critical exponent 1/2, rigorous recovery bounds for the Guinand–Weil pipeline, and a structural obstruction to the spectral modification

Let $\Delta_n$ denote Björner's simplicial complex on the squarefree integers $m \leq n$ and let $H_n = \sum_{p \leq n} c_p (T_p + T_p^*)$ be the self-adjoint operator obtained from the prime-shift operators $T_p$ with bounded weights $c_p$. This paper is the sixth revision of [9...