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Exact solution of the Gaunt-modified Landau-Lifshitz equation in a plane wave

new Abstract: We analyze electron dynamics in a plane electromagnetic wave using the Landau-Lifshitz equation with a quantum radiation reaction correction modeled by a Gaunt factor. In this geometry, the quantum parameter $\chi$ depends solely on the lightfront momentum, allowing the modified equation of motion to retain the integrable structure of the classical problem. We derive an exact solution for the energy evolution and the four-velocity, which reduces to the known classical result in...

arXiv Physics 5d ago

Integral Formulas for Vector Signal Tensor Products

arXiv:2603.08630v2 Announce Type: replace-cross Abstract: We derive integral formulas that simplify the Vector Signal Tensor Product recently introduced by Xie et al., which generalizes the Gaunt tensor product to anti-symmetric couplings. In particular, we obtain explicit closed-form expressions for the anti-symmetric analogues of the Gaunt coefficients. This enables us to simulate the Clebsch-Gordan tensor product using a single Vector Signal Tensor Product, yielding up to a $9\times$...

arXiv Physics 1d ago

Integral Formulas for Vector Signal Tensor Products

arXiv:2603.08630v2 Announce Type: replace Abstract: We derive integral formulas that simplify the Vector Signal Tensor Product recently introduced by Xie et al., which generalizes the Gaunt tensor product to anti-symmetric couplings. In particular, we obtain explicit closed-form expressions for the anti-symmetric analogues of the Gaunt coefficients. This enables us to simulate the Clebsch-Gordan tensor product using a single Vector Signal Tensor Product, yielding up to a $9\times$ reduction...

arXiv CS 1d ago

Man wanted for boiling water attack gave police false name of ‘Johnny Johnson’

A man wanted in connection with a boiling water attack has provided police with a false name. Daniel Gaunt, who was jailed for four and a half years at Newcastle Crown Court, is pictured in a handout photo issued by Northumbria Police.

Sky News 13d ago

The Chemotactic Index for Spatial Gradient Sensing

Announce Type: new Abstract: We consider the problem of quantifying the chemotactic efficiency of single cells as measured by the chemotactic index $\Psi$. Previous work in a model framework for direct sensing of spatial gradients indicated that $\Psi$ depends on a single dimensionless group $s$, which plays the role of the square of the signal to noise ratio in the problem. We revisit this problem theoretically and demonstrate that the cumulants in the model can be calculated exactly. We...

arXiv Physics 1d ago

Laos cave survivor recounts days trapped in dark, flooded cave

Through the long days and nights he and four other men were trapped inside a flooded cave, all Mued Duangsomdy could think about was food. They had little of it with them when they ventured last month into the mazelike cave network in a remote area of central Laos, carrying prospecting tools to try their luck at finding gold, only to have fortune turn against them. “It was all dark, so we didn’t know days or nights,” Mued, 23, told NBC News in an interview, days after he became the first of...

NBC News 6d ago

Trump celebrates release of Cuban man from months in detention at Alligator Alcatraz

Trump celebrates release of Cuban man from months in detention at Alligator Alcatraz Donald Trump uncharacteristically cheers Miami resident Justo Betancourt being set free after judge ruled he was wrongly detained by ICE officials last October - Bookmark - CommentsGo to comments President Donald Trump has cheered the release of an inmate from the notorious Alligator Alcatraz immigrant detention center in the Florida Everglades after he was freed by a judge earlier this month. “Welcome home...

The Independent World 9d ago