@hydezero-message.bsky.socialPaid tutorial: use 2×2 Lax matrices to build conserved quantities in Vasilev's deformed Toda system. Calculate two and three sites, then explore operator ordering. These learning examples do not replace the general proof.
https://note.com/hydezero/n/nd7b45466e162?hl=en
#Toda #MathematicalPhysics
@mngstm.bsky.socialExplore the mathematical foundations behind modern physics.
A rigorous and accessible introduction to the concepts that connect quantum field theory, geometry and algebra.
📚Find out more: tinyurl.com/3j5d26s4
@mngstm.bsky.socialExplore the mathematical foundations behind modern physics.
A rigorous and accessible introduction to the concepts that connect quantum field theory, geometry and algebra.
📚Find out more: tinyurl.com/3j5d26s4
@myroslavstalnyi.bsky.socialIn Generative Triangle T, combinatorial mass is defined only after a stable particle-like macroclass exists. It quantifies the multiplicity of stable microhistorical realizations compatible with that same macrostructure, rather than adding mass as an independent input.
#MathematicalPhysics
@tscimat.bsky.social@myroslavstalnyi.bsky.socialA particle-like object in Generative Triangle T is not a primitive point. It is a macroclass satisfying recursive stability, causal localization, stable internal structure and asymptotic distinguishability. Particle-likeness is derived from those conditions, not postulated.
#MathematicalPhysics
@informaq.bsky.socialMathematician Nivedita joins Perimeter Institute through a postdoctoral fellowship to apply rigorous mathematical techniques to quantum field theory, bridging abstract mathematics with theoretical physics.
#QuantumFieldTheory #MathematicalPhysics #TheoreticalPhysics
@hydezero-message.bsky.socialWhy can N^(3/2) scaling persist while the Airy form changes? Follow affine quiver models into a Fermi gas, separating exact rewrites from semiclassical corrections in the analyzed families.
https://note.com/hydezero/n/nb9fbc20c22ff?hl=en
#MathematicalPhysics #StatisticalPhysics
@hydezero-message.bsky.socialHow do local Lax matrices generate conserved quantities? Follow a special deformed Toda system from matrix products to Poisson commutativity, then quantum operator ordering. Independence remains a separate check.
https://note.com/hydezero/n/ndb50a75ad41b?hl=en
#MathematicalPhysics #Integrability
@informaq.bsky.socialDeveloped effective radial framework for charged particles in electromagnetic fields using tridiagonal representation approach, yielding analytically solvable field-modified potentials with explicit energy spectra in Laguerre and Jacobi bases.
@clairecsmith.bsky.socialSir Professor Roger Penrose is my favourite scientist.
This is a link to a post I did, which is a bit about him & part of a thread (of a few threads) I wrote about mathematicalphysics which references his books I have, & his thinking behind his theory making.
He's an expert on #mathematicalphysics
@informaq.bsky.socialDisproved the quantum Hedetniemi conjecture by constructing explicit finite graphs where χ_q(G×H)≤1538<1539=min{χ_q(G),χ_q(H)}, with counterexamples formally verified in Lean 4.
@informaq.bsky.socialNovel non-recursive method for computing off-diagonal heat kernel expansions in quantum field theory coupled to electromagnetic fields, with closed-form expressions validated against known cases.
@informaq.bsky.socialQuantitative refinement of atomic ground state behavior in two-cluster regions: proves convergence rates for N-particle Coulomb Hamiltonians with explicit error bounds, advancing foundational quantum mechanics theory.
@modconflex.bsky.socialNew publication by V. Ocqueteau and M. Tucsnak in the Journal of Mathematical Fluid Mechanics:
They study the small vertical motion of a floating cylinder.
link.springer.com/article/10.1...
arxiv.org/abs/2504.20523
#AppliedMathematics #FluidMechanics #MathematicalPhysics #WellPosedness