Tootfinder

The principle of least action for random graphs
Ioannis Kleftogiannis, Ilias Amanatidis
https://arxiv.org/abs/2507.01468 https://arxi…

The principle of least action for random graphs
We study the statistical properties of the physical action $S$ for random graphs, by treating the number of neighbors at each vertex of the graph (degree), as a scalar field. For each configuration (run) of the graph we calculate the Lagrangian of the degree field by using a lattice quantum field theory(LQFT) approach. Then the corresponding action is calculated by integrating the Lagrangian over all the vertices of the graph. We implement an evolution mechanism for the graph by removing one ed…

Average Action Efficiency Rises Monotonically in Self-Organizing Systems via Stochastic Least-Action Dynamics
Georgi Yordanov Georgiev
https://arxiv.org/abs/2507.02209

Average Action Efficiency Rises Monotonically in Self-Organizing Systems via Stochastic Least-Action Dynamics
Self-organizing systems convert noisy motion into efficient structure, yet a universal, dimensionless measure of this transformation is lacking. We derive the Average Action Efficiency (AAE) - events per total action - from a stochastic path-integral least-action principle. A Lyapunov identity links its monotonic rise to the action variance and the rate of noise reduction, defining growth, saturation, and decay regimes. Agent-based ant foraging and single-molecule ATP-synthase data confirm the …

Poincar\'e covariant quantum molecular dynamics: a covariant description of a system of interacting wave packets
Yasushi Nara, Asanosuke Jinno, Koichi Murase
https://arxiv.org/abs/2507.23294

Poincaré covariant quantum molecular dynamics: a covariant description of a system of interacting wave packets
We present a new formulation for the mean-field propagation part of the relativistic quantum molecular dynamics, simulating an $N$-body system of interacting Gaussian wave packets via Lorentz scalar and vector potentials. Covariant equations of motion are derived based on the principle of least action. These covariant equations of motion can be solved with a computational cost comparable to that of conventional noncovariant quantum molecular dynamics. Furthermore, the new equations of motion ac…

Factors controlling protein evolvability, at the molecular scale
Jorge A. Vila
https://arxiv.org/abs/2507.23481 https://arxiv.org/pdf/2507.23481

Factors controlling protein evolvability, at the molecular scale
This piece serves two purposes. Firstly, it aims at elucidating the role of epistasis in shaping, at a molecular level, the evolutionary paths of proteins, as well as the extent to which these epistatic effects are the outcome of an as-yet-unidentified epistatic force. Second, it seeks to ascertain the extent to which the principle of least action will enable us to identify which of all potential trajectories has the highest evolutionary efficiency, as well as how variations in factors such as …

The Goldbach Conjecture as an Informational Economy Principle: A Heuristic Framework from Computational Physics
Ricardo Adonis Caraccioli Abrego
https://arxiv.org/abs/2508.18273

The Goldbach Conjecture as an Informational Economy Principle: A Heuristic Framework from Computational Physics
This paper presents a heuristic framework for analyzing the Goldbach Conjecture (GC) from the perspective of the physics of information. Through empirical analysis, we propose an Informational Economy Principle (IEP), which posits that differences between prime numbers tend to be resolved by pairs with a minimal sum with over- whelmingly high probability. We argue that this tendency is analogous to least-action principles in physics and is consistent with the fundamental physical limits of comp…

On Geometrization of Classical Fields II (MES: dark matter, energy)
V. I. Noskov
https://arxiv.org/abs/2506.14313 https://arxiv.org/p…

On Geometrization of Classical Fields II (MES: dark matter, energy)
The study of arXiv:2502.01174 geometrization of classical fields in the 4d--Finsler space of MES (Model of Embedded Spaces) is continued. The model postulates a proper metric set of a distributed matter element and states that the space-time of the Universe is a physical Embedding of such sets. The Embedding geometry is a Finsler-like relativistic geometry with connectivity depending on the mechanical state of matter: torsion and non-metricity are absent. The Least Action Principle provides the…

Dynamical Phase Transition of Dissipative Fermionic Superfluids
Xin-Yuan Gao, Yangqian Yan
https://arxiv.org/abs/2506.05770 https://a…

Dynamical Phase Transition of Dissipative Fermionic Superfluids
Driven-dissipative open quantum many-body systems exhibit rich phases that are characterized by the steady states in the long-time dynamics. However, lossy open systems inevitably decay to the vacuum, making their transient evolution the primary focus. Assuming the Hartree-Fock-Bogoliubov ansatz, we derive a generalized time-dependent Hartree-Fock-Bogoliubov equation based on the least action principle for open quantum systems. By solving the quench dynamics after abruptly introducing inelastic…