Alik Gimranov

A Genealogy and Interface Audit of QCD-Sector Truncations in History-Dependent Gravity (Paper LXXVIII-B-02)

This work presents a systematic genealogy and interface audit of the quark and gluon sector truncations within the History-Dependent Gravity (HDG) framework. We map the currently activated operational interfaces, specifically the gluon interface (K → Q_{G,op}, Paper XXXII) and th...

A Genealogy and Interface Audit of QCD-Sector Truncations in History-Dependent Gravity (Paper LXXVIII-B-02)

This work presents a systematic genealogy and interface audit of the quark and gluon sector truncations within the History-Dependent Gravity (HDG) framework. We map the currently activated operational interfaces, specifically the gluon interface (K → Q_{G,op}, Paper XXXII) and th...

Numerical and Physical Interpretation of the Sunset–Tadpole Ratio in the TT Sector of History-Dependent Gravity

We present a numerical analysis and physical interpretation of the sunset-to-tadpole ratio R_TS = T_tad / T_sun arising in the transverse-traceless (TT) sector of the functional renormalization group (FRG) treatment of history-dependent gravity. Building on the TT vertex structur...

History-Dependent Gravity LXIX: From Memory Reduction to Emergent Dynamics

We establish the conceptual and mathematical foundation of the History-Dependent Gravity (HDG) program by formulating a rigorous reduction chain for causal history-dependent theories. Moving beyond model-specific constructions, we prove four general theorems: 1. **Reduction:** An...

Breaking of Off-Shell Degeneracy in Rank-2 Separable Three-Body Models: Gauge Invariance, Spectral Restructuring, and Ultraviolet Stability (Paper LXVIII)

We investigate three-body bound states in rank-2 separable Yamaguchi potentials with inter-channel mixing and establish three main results that clarify the nature of off-shell degeneracy in few-body systems. Building on our previous analysis of rank-1 separable models (Paper LXVI...

Breaking of Off-Shell Degeneracy in Rank-2 Separable Three-Body Models: Gauge Invariance, Spectral Restructuring, and Ultraviolet Stability (Paper LXVIII)

We investigate three-body bound states in rank-2 separable Yamaguchi potentials with inter-channel mixing and establish three main results that clarify the nature of off-shell degeneracy in few-body systems. Building on our previous analysis of rank-1 separable models (Paper LXVI...

Breaking of Off-Shell Degeneracy in Rank-2 Separable Three-Body Models: Gauge Invariance, Spectral Restructuring, and Ultraviolet Stability (Paper LXVIII)

We investigate three-body bound states in rank-2 separable Yamaguchi potentials with inter-channel mixing and establish three main results that clarify the nature of off-shell degeneracy in few-body systems. Building on our previous analysis of rank-1 separable models (Paper LXVI...

History-Dependent Gravity LXV: Reproducible Code and Data

History-Dependent Gravity LXV: Reproducible Code and Data This repository contains the complete numerical pipeline and data underlying the paper "History-Dependent Gravity LXV: Emergent Infrared Memory Scale and Parameter-Free Gravitational-Wave Phase Drift from Functional Renorm...

History-Dependent Gravity as an Emergent Renormalization Group Object: Spectral Flow of the Effective Average Action (Paper LXIV)

History-Dependent Gravity (HDG) introduces nonlocal memory kernels to capture the macroscopic imprint of quantum gravitational dynamics. However, the spectral density underlying these kernels is typically introduced phenomenologically. In this work, we demonstrate that this spect...

Spectral Branch-Cut Signatures in Low-Energy Nuclear Scattering: An Energy-Dependent Phase-Shift Test of History-Dependent Gravity (Paper LXII)

This paper represents the first controlled, observable-level test of temporal nonlocality in nucleon-nucleon scattering within the History-Dependent Gravity (HDG) framework. Key contributions: Observable-level framework: We construct the spectral curvature observable C(k)C(k) and...

Universality of the Spectral Memory Scale Across Few-Body Nuclear Systems

In standard nuclear Effective Field Theory (EFT), the ultraviolet (UV) sensitivity of the three-body sector (Thomas collapse) is resolved by introducing a phenomenological, cutoff-dependent three-nucleon force (3NF) counterterm. In this work, part of the History-Dependent Gravity...

Universality of the Spectral Memory Scale Across Few-Body Nuclear Systems

In standard nuclear Effective Field Theory (EFT), the ultraviolet (UV) sensitivity of the three-body sector (Thomas collapse) is resolved by introducing a phenomenological, cutoff-dependent three-nucleon force (3NF) counterterm. In this work, part of the History-Dependent Gravity...