Iraklis Margaritis

Channel–Response Araki–BKM Information Flow: Exact Hilbert-Space Decomposition, Coarse-Graining Chain Rules, and Interaction-Sector Specializations

We extend a finite-dimensional Araki–Bogoliubov–Kubo–Mori (BKM) responsecost construction to an arbitrary real Hilbert response space, normal quantumcoarse-graining channels between von Neumann algebras, composable channel chains, and continuous coarse-graining flows. The respons...

Finite-Cutoff Local Information Equilibrium and Araki–BKM Stability in Local AQFT

We prove a finite-cutoff, fixed-bifurcation form of Local Information Equilibrium (LIE) forthe shift-invariant sector of the four-dimensional massless minimally coupled scalar on a fixedde Sitter reference geometry. The proof uses a single symmetry-preserving Gaussian regulatorwi...

Modular Reconstruction Criteria and Obstructions in Algebraic Quantum Field Theory

We study how far four-dimensional Lorentzian structure can be reconstructed from algebraicquantum field theory modular data without assuming a prior spacetime geometry. Working withstandard real subspaces and half-sided modular inclusions, we derive exact operator-algebraiccriter...

Part II: Regulated BKM–Euclidean Hessian and Finite-Cutoff Gravitational Susceptibility

We establish a finite-cutoff relation between quantum information geometry and semiclassical gravity through the Araki–Bogoliubov–Kubo–Mori susceptibility. For each finite regulator (Λ, M, ε) and with the corresponding spectral/heat-kernel regularization of the Euclidean determin...

Part III: Regulated Derivation of Local Information Equilibrium Araki–BKM Geometry, Local Replica Regularization, Spectral Matching, and the Regulated Einstein–Hilbert Area Law

We present a finite-cutoff derivation of the Einstein–Hilbert-sector Local InformationEquilibrium (LIE) area relationδSEHent =(1 / 4ℏGscalarind,UV) δA,for a regulated massless minimally coupled scalar under the explicit assumptions statedbelow. The analysis separates two logicall...

Part III: Regulated Derivation of Local Information Equilibrium Araki–BKM Geometry, Local Replica Regularization, Spectral Matching, and the Regulated Einstein–Hilbert Area Law

We present a finite-cutoff derivation of the Einstein–Hilbert-sector Local InformationEquilibrium (LIE) area relationδSEHent =(1 / 4ℏGscalarind,UV) δA,for a regulated massless minimally coupled scalar under the explicit assumptions statedbelow. The analysis separates two logicall...

Part I: A Finite-Cutoff Araki–BKM Framework for Gravitational Susceptibility

This paper is the first in a three-part series developing a controlled finite-cutoff connection between quantum information geometry and semiclassical gravity under explicitly stated assumptions. Here, we lay the foundational algebraic framework, in which the Araki– Bogoliubov–Ku...

Vacuum Admissibility and Infrared Consistency in Emergent Gravity: A Gauge-Invariant Selection Framework with a Bunch–Davies Benchmark

We develop a general methodology for testing the infrared admissibility of candidate reference states in emergent-gravity constructions. The central point is that vacuum selection by infrared consistency is an exclusion principle rather than, in general, a uniqueness theorem: a s...