Related papers: Comment on revised version of "The Hadamard circul…
We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an updated version of arXiv:math/0606635v3 with additional results…
This paper has been withdrawn by the authors. It has been superseded by hep-th/0309154
We retract the scalar curvature rigidity theorem as there is a mistake in the proof. We thank S. Montiel for pointing out the mistake.
The disproved Nash Williams conjecture states that every 4-regular 4-connected graph has a hamiltonian cycle. We show that a modification of this conjecture is equivalent to the Dominating Cycle Conjecture.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.
A very short note, explaining the error in the original paper, which renders its central result incorrect.
This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.
We show that the famous matrix $A_2$ conjecture is false: the norm of the Hilbert Transform in the space $L^2(W)$ with matrix weight $W$ is estimated below by $C[W]_{{A}_2}^{3/2}$.
Despite the failure of the integral Hodge conjecture, we show that the rational Hodge conjecture implies an integral version (modulo torsion) of the absolute Hodge conjecture.
In [Haglund, Remmel, Wilson 2018] the authors state two versions of the so called Delta conjecture, the rise version and the valley version. Of the former, they also give a more general statement in which zero labels are also allowed. In…
This paper has been withdrawn by the authors due to an error in Section 7.
We show that the argument in Phys Rev Lett 70 (1993) 1360 is correct and consistent, and that Hagen & Sudarshan's solution has inconsistency leading to non-vanishing commutators of $[P^1, P^2]$ and $[P^j, H]$ even in physical states. This…
This paper has been withdrawn by the author due to a crucial error in the formulation.
The claim by He et al. [Physical Review Letters 108, 024502 (2012)] that their experiment reached the 'ultimate' regime of turbulent Rayleigh-B\'enard convection is not justified by their data.
This paper has been withdrawn by the authors due to some fatal errors in the analysis.
A recent criticism of the proof of the failure of the rooting procedure with staggered fermions is shown to be incorrect.
Cohen and Hiley [Phys. Rev. A 52, 76 (1995)] have criticized the analysis of Hardy's gedanken experiment according to which the contradiction with quantum theory in Hardy's experiment arises due the failure of the "product rule" for the…
The Halting Problem is ill-conceived and ill-defined.
This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.