Institute of Theoretical Physics

An algebraic 21-vertex intertwiner for a non-elliptic XYZ Lax operator

Fukai and Yamada introduced a Lax operator with a three-dimensional auxiliary space for the spin-1/2 XYZ chain whose entries are algebraic rather than elliptic. We give an explicit algebraic 9 × 9 intertwiner for this operator. The matrix has the 21-vertex pattern and is written...

An algebraic 21-vertex intertwiner for a non-elliptic XYZ Lax operator

Fukai and Yamada introduced a Lax operator with a three-dimensional auxiliary space for the spin-1/2 XYZ chain whose entries are algebraic rather than elliptic. We give an explicit algebraic 9 × 9 intertwiner for this operator. The matrix has the 21-vertex pattern and is written...

Type-Voltage Covers and Finite Locally Kneser Graphs

For every integer d ≥ 3, we construct a connected graph on twice the binomial coefficient ‘3d + 1 choose d’ vertices that is locally the Kneser graph K(2d + 1, d). The construction on the line n = 2d + 1 uses a binary voltage cover of K(3d + 1, d), with voltage determined only by...

Ultramassive Black Star Cosmology: Quantum Phase Transition and Singularity-Free Cosmic Bounce

This preprint proposes an alternative model to the initial Big Bang singularity by postulating that the observable universe originated from the quantum bounce of an ultramassive object ("Black Star") containing the total mass-energy of the cosmos ($\approx 10^{53} \text{ kg}$). U...

A Pre-Structural Substrate Framework for Cosmology and Boltzmann Verification

Timestamp: Saturday, August 22, 2026 — 20:02:41 (UTC+2) Abstract: Persistent cosmological anomalies, including early mature massive galaxies revealed by the James Webb Space Telescope (JWST) at z > 10, the persistent 5σ Hubble expansion tension (H₀), and four decades of null dire...

Boost-invariant Perfect Fermi–Dirac Spin Hydrodynamics

We analyze the effect of using the Fermi–Dirac statistics, rather than its Boltzmann approximation, in numerical simulations of perfect spin hydrodynamics of particles with spin \(1/2\). The system considered is boost invariant, transversely homogeneous, with corrections to the b...

Prism-Slice h-star Polynomials: Interlacing Through Reduced Level Five and a Level-Six Counterexample

Let c be a positive integer capacity vector with total capacity C, let 1 ≤ k ≤ C − 1, and put m = min{k, C − k}. We prove both clauses of the prism-slice conjecture when m ≤ 5: the h-star polynomial is real-rooted, and for every legal unit split the unsplit polynomial weakly inte...

Exact Signs and Sharp Boundaries for Product-Binomial Dold Coefficients

Let X be a rational exterior space and let f: X → X. Let A = Q(f*) be the graded action on the indecomposable quotient of the positive-degree rational cohomology of X. Suppose that χ_A(t) = t^s ∏_j (t^{n_j} − a_j)^{k_j}, with a nonempty product and every a_j ≥ 3. Powering the bin...

Bezoutian Decoupling for Conformal Yang–Mills Multiplets in (A)dS

Metsaev's formulation of conformal Yang–Mills theory in six, eight, and ten dimensions admits a change of variables from a generic auxiliary-field presentation to a direct sum of massless and massive Stueckelberg systems. The proposed matrices in arbitrary even dimension were lef...

Prism-Slice h-star Polynomials: Interlacing Through Reduced Level Five and a Level-Six Counterexample

Let c be a positive integer capacity vector with total capacity C, let 1 ≤ k ≤ C − 1, and put m = min{k, C − k}. We prove both clauses of the prism-slice conjecture when m ≤ 5: the h-star polynomial is real-rooted, and for every legal unit split the unsplit polynomial weakly inte...

Exact Signs and Sharp Boundaries for Product-Binomial Dold Coefficients

Let X be a rational exterior space and let f: X → X. Let A = Q(f*) be the graded action on the indecomposable quotient of the positive-degree rational cohomology of X. Suppose that χ_A(t) = t^s ∏_j (t^{n_j} − a_j)^{k_j}, with a nonempty product and every a_j ≥ 3. Powering the bin...

Zero-Infinity Dimensional Recursion (ZIDR): Resolving High-Redshift Anomalies and Deriving the CMB Power Spectrum

Zero-Infinity Dimensional Recursion (ZIDR): Resolving High-Redshift Anomalies and Deriving the CMB Power Spectrum Version 6 introduces the formal CMB power spectrum derivation, geometric dispersion modeling, and expanded theoretical components of the Zero-Infinity Dimensional Rec...