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Covariant field with unique mass and spin 3/2

Announce Type: replace Abstract: We present the explicit theory of eight-dimen\-sional massive covariant fields with single spin $\frac{3}{2}$ transforming according to the representation $(\frac{3}{2},0)\oplus(0, \frac{3}{2})$ of the group $SL(2,\mathbb{C})$. This is done starting with the reducible representation $(1,0)\otimes(\frac{1}{2},0)$ instead of the irreducible one $(1,\frac{1}{2})=(1,0)\otimes(0,\frac{1}{2})$ we meet in Rarita-Schwinger or Joss-Weinberg frameworks. The resulting...

arXiv Physics 7d ago

Predicting every game of the entire World Cup: All...

Everyone is using artificial intelligence to do, well, everything. With the World Cup starting on June 11, you can't scroll for more than a couple of minutes without hitting another post or video or reel of someone telling you how they used AI to predict the World Cup. So, I decided to use my own supercomputer to predict every game of the 2026 World Cup -- the supercomputer is called "my brain."

ESPN 5d ago

The memory of $\omega$-regular and BC($\Sigma_2^0$) objectives

arXiv:2502.05840v4 Announce Type: replace Abstract: In the context of 2-player zero-sum infinite-duration games played on (potentially infinite) graphs, the memory of an objective is the smallest integer k such that in any game won by Eve, she has a strategy with <= k states of memory. For omega-regular objectives, checking whether the memory equals a given number k was not known to be decidable. In this work, we focus on objectives in BC(Sigma0^2), i.e. recognised by a potentially infinite...

arXiv CS 7d ago

The memory of $\omega$-regular and BC($\Sigma_2^0$) objectives

arXiv:2502.05840v3 Announce Type: replace Abstract: In the context of 2-player zero-sum infinite-duration games played on (potentially infinite) graphs, the memory of an objective is the smallest integer k such that in any game won by Eve, she has a strategy with <= k states of memory. For omega-regular objectives, checking whether the memory equals a given number k was not known to be decidable. In this work, we focus on objectives in BC(Sigma0^2), i.e. recognised by a potentially infinite...

arXiv CS 9d ago

Non-Gaussian Expansion of Minkowski Tensors in Redshift Space

Announce Type: replace-cross Abstract: This paper focuses on extending the use of Minkowski Tensors to analyze anisotropic signals in cosmological data, focusing on those introduced by redshift space distortion. We derive the ensemble average of the two translation-invariant, rank-2 Minkowski Tensors ($W_1^{0,2}$ and $W_2^{0,2}$) for a matter density field that is perturbatively non-Gaussian in redshift space. This is achieved through the Edgeworth expansion of the joint probability density...

arXiv Physics 2d ago

Klein--Gordon and Dirac Oscillators with an Apparent Mass Induced by the Momentum-Space Dual of the Fock--Lorentz Transformations

arXiv:2606.05226v1 Announce Type: new Abstract: We propose a controlled momentum-space dual of the Fock--Lorentz (FL) transformations and use it to derive a deformed relativistic mass shell. Restricting the FL conformal factor to the cosmological-frame world line $\vx=0$, the invariant relation takes the form $(E^{2}-\vp^{2}c^{2})(1+ct/R)^{2}=m_{0}^{2}c^{4}$, which is equivalent to the standard special-relativistic dispersion law with a time-dependent apparent mass $\mapp(t)=m_{0}/(1+ct/R)$....

arXiv Physics 5d ago

Scorecard: England vs India, second T20 international, Bristol

Summary India Women in England 2nd T20I / Bristol England Women 00 0.2 India Women England Women are 0 for 0 with 19.4 overs remaining England Women 1st innings Total 000.2 overs Batting - Dunkley not out 0 2 0 0 0.00 - Wyatt-Hodge not out 0 0 0 0 0.00 Extras 0 Yet to bat - Jones - Capsey - Knight - Kemp - Gibson - Dean - Ecclestone - Smith - Bell Fall of Wickets Bowling - Reddy 0.2 0 0 0 0.00 Match details - Toss: England Women won the toss and elected to bat - Venue: Seat Unique Stadium,...

Sky Sports Football 11d ago

Ahoy, DECmate II the little PDP-8 that could

Now, that's a lot of word processing. But under the hood it's still at least PDP-8 adjacent, even considering its oddities and incompatibilities, and you can make it do many of the things a full-size Eight can. We'll take this basic unit, convert the floppy drives to solid state, tap the video output, and put it through its paces.

Hacker News 11d ago

A posteriori existence for the Keller-Segel model via a finite volume - finite element scheme

arXiv:2509.17710v2 Announce Type: replace Abstract: We derive two forms of conditional a posteriori error estimates for a finite volume scheme approximating the parabolic-elliptic Keller-Segel system. The estimates control the error in the $L^\infty(0,T, L^2(\Omega))$- and $L^2(0,T;H^1(\Omega))$-norm and exhibit linear convergence in the mesh size, as observed in numerical experiments. Crucially, we show that, as long as the condition of the error estimate is satisfied, a weak solution exists.

arXiv CS 7d ago

Cloning a Sennheiser BA2015 battery pack

One of the annoying things about electronics is that so many companies must make their own incompatible battery packs. For many products these are expensive but at some level still reasonable, the battery pack contains the protection circuitry and some guaranteed high quality Li-ion cells. This is not one of those devices.

Hacker News 4d ago