The Logic of Emergence: From Simple Rules to Complex Systems
A new mathematical framework reveals how directionality and complex behavior can arise naturally from fundamental principles of closure and refined equivalence.
A new mathematical framework reveals how directionality and complex behavior can arise naturally from fundamental principles of closure and refined equivalence.
![The study reveals a conical intersection-a point of degeneracy-between the ground and first excited singlet states of the methaniminium cation [latex]CH_2NH_2^{+}[/latex], characterized by a double-cone topography of potential energy surfaces along the branching-plane coordinates defined by gradient-difference and nonadiabatic-coupling directions, and pinpointed through optimization of the minimum-energy conical intersection geometry.](https://arxiv.org/html/2602.02115v1/x1.png)
New research reveals that classical simulations struggle to reach conical intersections, fundamental to chemical reactions, due to an unexpected entropic barrier.
![Numerical simulations, parameterized as described in the accompanying text, explore the behavior detailed by equation [latex] (2) [/latex].](https://arxiv.org/html/2602.02105v1/figure1.png)
A new study demonstrates that accurately modeling the interplay of light and matter in nanoscale semiconductors requires a detailed, fully quantized simulation of coupled photons, excitons, and biexcitons.
![Multivariate analysis, employing algorithms such as BDT, BDTG, MLP, and Likelihood, demonstrates stable performance across hadronic analyses at collision energies of 5.29, 6.48, and 9.16 TeV, achieving optimal discrimination - as measured by the Area Under the Curve [latex]AUC[/latex] - at [latex]\sqrt{s} = 9.16 \text{ TeV}[/latex].](https://arxiv.org/html/2602.01010v1/AUChadronic.jpeg)
A new study explores the potential of future muon-proton colliders, enhanced by advanced machine learning, to discover vector-like quarks and probe physics beyond the Standard Model.
![Calculations of [latex]d/A^2c[/latex] from SA-NCSM closely align with predictions for [latex]^{8}\mathrm{Li}[/latex] and [latex]^{8}\mathrm{B}[/latex] beta decay to [latex]^{8}\mathrm{Be}[/latex], exhibiting a correlation with the calculated quadrupole moments [latex]Q(2^{+})[/latex] of the initial nuclei, though uncertainties-derived from both experimental [latex]Q(2^{+})[/latex] values and linear regression-remain a critical component of validating these findings.](https://arxiv.org/html/2602.00341v1/x12.png)
Advancements in first-principles nuclear theory are refining calculations of beta decay, opening new avenues for searching for physics beyond our current understanding of the universe.

Accounting for the subtle interplay between new particle signals and known Standard Model processes is critical for accurately interpreting collider data and avoiding false discoveries.
Researchers are uncovering how to harness quantum interference in layered materials to manipulate charge flow with magnetic fields and electric currents, potentially leading to new spintronic devices.
![The study determines scattering phase shifts utilizing the Lüscher quantization condition-truncated to the SS-wave-for both [latex]I=1[/latex] and [latex]I=0[/latex] channels, with statistical uncertainties indicated by orange bands and gap plus variational bounds at 68% confidence delineated by chevron-bounded blue bands.](https://arxiv.org/html/2601.22273v1/x3.png)
New methods offer a more rigorous way to determine hadron properties in lattice QCD, moving beyond reliance on assumptions about excited-state contributions.
![The study of a metastable cubic potential-[latex]V(x) = -x^3/3 + m^2x[/latex] with [latex]m=1[/latex]-subject to Cauchy noise reveals a characteristic relationship between mean residence time and noise intensity, exhibiting a maximum indicative of noise-enhanced stability alongside a power-law decay at high noise levels, and further demonstrates a “duck-bill” structure-consistent with boundary-controlled trapping under Lévy flights-across a range of system parameters when normalized against the deterministic transit time.](https://arxiv.org/html/2601.22635v1/x1.png)
A new review reveals how seemingly disruptive noise can surprisingly control and even enhance the stability of metastable states across diverse physical systems.

Researchers have developed a novel orbital-free density functional theory method offering a computationally efficient way to model the electronic structure of materials at extreme temperatures and densities.