55 citations · 80 across the 10 of their papers we have counts for
11 papers
Magnetic flux ring splitting near a Navier-Stokes singularity
Antti J. Niemi
OpenAI reports a forced Navier-Stokes flow that becomes singular in finite time, raising the question of its physical consequences. Magnetic reconnection offers a test through the…
Fold Catastrophes in a Hopf Texture Driven by a Navier--Stokes Blow-Up Analog
Antti J. Niemi
A two-component Bose--Einstein condensate can host a pseudospin Hopf texture coupled to the viscous normal flow of its thermal cloud. Motivated by OpenAI's reported finite-time Nav…
Geometric Qubits in Programmable Atomic Trimers
Julien Garaud, Antti J. Niemi
Motivated by programmable tweezer arrays, we develop an exactly solvable shape-space theory for near-equilateral atomic trimers. The Higgs oscillator on Kendall's shape sphere give…
Local topology and perestroikas in protein structure and folding dynamics
Alexander Begun, Maxim N. Chernodub, Alexander Molochkov +1
Methods of local topology are introduced to the field of protein physics. This is achieved by explaining how the folding and unfolding processes of a globular protein alter the loc…
From Feynman's ratchet to timecrystalline molecular motors
Jianmei Wang, Jin Dai, Antti J. Niemi +1
Cats use the connection governing parallel transport in the space of shapes to land safely on their feet. Here we argue that this connection also explains the impressive performanc…
The SU(2) Lie-Poisson Algebra and its Descendants
Jin Dai, Theodora Ioannidou, Antti Niemi
In this paper, a novel discrete algebra is presented which follows by combining the SU(2) Lie-Poisson bracket with the discrete Frenet equation. Physically, the construction descri…
Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate
Julien Garaud, Antti J. Niemi
A dilute gas of Bose-Einstein condensed atoms in a non-rotated and axially symmetric harmonic trap is modelled by the time dependent Gross-Pitaevskii equation. When the angular mom…
Provenance of classical Hamiltonian time crystals
Anton Alekseev, Dai Jin, Antti J. Niemi
Classical Hamiltonian systems with conserved charges and those with constraints often describe dynamics on a pre-symplectic manifold. Here we show that a pre-symplectic manifold is…
Gauge field, strings, solitons, anomalies and the speed of life
Antti J. Niemi
It's been said that "mathematics is biology's next microscope, only better; biology is mathematics' next physics, only better". Here we aim for something even better. We try to com…
Re-dressing Emperor: Four Dimensional Yang-Mills Theory, Gauge Invariant Mass And Fluctuating Three Branes
Antti J. Niemi, Sergey Slizovskiy
We consider the coupling between four dimensional Yang-Mills field and a three brane that fluctuates into higher dimensions. For this we interpret the Yang-Mills theory as a higher…
Magnetic Geometry and the Confinement of Electrically Conducting Plasmas
Ludvig Faddeev, Antti J. Niemi
We develop an effective field theory approach to inspect the electromagnetic interactions in an electrically neutral plasma, with an equal number of negative and positive charge ca…