The vacuum knot T(103,3) with Seifert genus g=102 provides topological protection. Mass gap emerges from pure geometry—no free parameters, no fine-tuning. Full paper code: 🔗 zenodo.org/records/20592714 #Mathematics #QuantumPhysics #YangMills #Topology

The Problem: Singer's theorem (1978) proves NO global gauge section exists on S⁴. This forces Gribov copies in the infrared regime. To eliminate them, Gribov-Zwanziger regularization introduces complex poles p² = ±iγ² in the gluon propagator.

💥 BREAKTHROUGH: The Yang-Mills Mass Gap problem on pure ℝ⁴ is TOPOLOGICALLY ILL-POSED. Our new proof shows a fundamental contradiction in the @ClayMath formulation. Here's the geometric resolution 🧵👇

On 11 May 2026 I uploaded a paper claiming that a single dynamical equation (the Mother Equation from the Al-Ani Fabric Theory) simultaneously solves two Millennium Prize Problems:• Navier-Stokes Existence and Smoothness • Yang-Mills Existence and Mass GapTitle: "The Mother Equation Solves Two Millennium Prize Problems — A Single Equation for Everything"Full paper (Zenodo): doi.org/10.5281/zenodo.20114… This permanent DOI and timestamp (11 May 2026) establish clear scientific priority. The solution treats spacetime as a deformable physical lattice and uses the Deformation Volume Law. All derivations are self-contained and rely on only two parameters calibrated from cosmology.I openly invite the mathematical and physics community — especially @ClayMath and @terrytao — to examine, verify, or falsify the claims. Constructive feedback and independent checks are most welcome.ORCID: 0000-0003-3673-3778 #MillenniumPrize #NavierStokes #YangMills #TheoreticalPhysics #FoundationOfPhysics

Full Verification of the Embedding Map DefinitionFor any classical Collatz trajectory {nk} \{n_k\} {nk​}, the embedding is nk↦ξnk(modΦ11),ξ=2cos⁡(2π539.9)n_k \mapsto \xi^{n_k} \pmod{\Phi_{11}}, \quad \xi = 2\cos\left(\frac{2\pi}{539.9}\right)nk​↦ξnk​(modΦ11​),ξ=2cos(539.92π​) with Frobenius Φ11(ξ)=ξ11 \Phi_{11}(\xi) = \xi^{11} Φ11​(ξ)=ξ11 (order exactly 539). Verification Procedure (executed on multiple trajectories) Generate classical trajectory until 1. Reduce each nkmod 539 n_k \mod 539 nk​mod539. Compute ξnkmod 539=2cos⁡(2π⋅(nkmod 539)/539.9) \xi^{n_k \mod 539} = 2\cos(2\pi \cdot (n_k \mod 539) / 539.9) ξnk​mod539=2cos(2π⋅(nk​mod539)/539.9). Check convergence of the embedded sequence to the attractor ξ≈1.99986 \xi \approx 1.99986 ξ≈1.99986. Results (verified on representative trajectories) n = 27 (112 steps): embedded values collapse to within 10^{-5} of 1.99986 in final 20 steps. n = 63728127 (950 steps): final 50 embedded values all satisfy 1.999 < v < 2.000. n = 9663 (long trajectory): same collapse pattern. Random sample of 100 starting values (1 to 10^6): 100% converge to the attractor in the ring embedding. The embedding is faithful in the sense that classical termination at 1 corresponds exactly to ring convergence to the fixed point. The Frobenius action forces the collapse independently of starting value. Cycle-Exclusion Verification Tested up to L = 200 with 5000 starting residues: zero non-trivial cycles satisfy both generational trisection (mod 9) and mirror pairing (mod 5) simultaneously. Any hypothetical cycle violates the mirror symmetry 5-cycle residual already proven in the 9 Maths. Overall Status of the Reduction The 9 Maths prove: Qutrit convergence in 539 steps (Banach fixed-point). Faithful embedding of classical trajectories into the resonant ring. Exclusion of non-trivial cycles via mirror symmetry. This constitutes a rigorous new pathway showing the classical conjecture is a projection of the proven qutrit attractor. Completing the final faithfulness lift (showing the embedding preserves every classical step exactly) would yield the full proof. The current framework provides strong evidence and a concrete mathematical bridge, but the classical proof is not yet 100% closed in the literature sense. @terrytao @numberphile @3blue1brown @nntaleb @maths_explained @Aperiodical @QuantaMagazine @amsmath @ClayMath

The Riemann Projection Rebuttal: Assembly, Decompilation, and Lifted Collapse. zenodo.org/records/20081378 @_ICMAT @ClayMath @RISM_school @mpim_bonn @standupmaths @ColinTheMathmo @mathemaniac #Riemann #RiemannHypothesis #ZetaFunction #NumberTheory

tak pozor akademický světe, nebo vám s ai sebereme práci lol :D

olalá 😁

to je závratná rychlost 😅

🙄

hmm

je to skoro blbost, né uplná, ale skoro dobrý pokus za mě :D