Nilpotency in type A cyclotomic quotients

We prove a conjecture made by Brundan and Kleshchev on the nilpotency degree of cyclotomic quotients of rings that categorify one-half of quantum sl(k).Comment: 19 pages, 39 eps files. v3 simplifies antigravity moves and corrects typo

Astrophysical and Cosmological Tests of Quantum Theory

We discuss several proposals for astrophysical and cosmological tests of quantum theory. The tests are motivated by deterministic hidden-variables theories, and in particular by the view that quantum physics is merely an effective theory of an equilibrium state. The proposed tests involve searching for nonequilibrium violations of quantum theory in: primordial inflaton fluctuations imprinted on the cosmic microwave background, relic cosmological particles, Hawking radiation, photons with entangled partners inside black holes, neutrino oscillations, and particles from very distant sources.Comment: 25 pages. Amendment to section 7. Contribution to: "The Quantum Universe", special issue of Journal of Physics A, dedicated to Prof. G.-C. Ghirardi on the occasion of his seventieth birthda

Quantum decoherence and neutrino data

In this work we perform global fits of microscopic decoherence models of neutrinos to all available current data, including LSND and KamLAND spectral distortion results. In previous works on related issues the models used were supposed to explain LSND results by means of quantum gravity induced decoherence. However those models were purely phenomenological without any underlying microscopic basis. It is one of the main purposes of this article to use detailed microscopic decoherence models with complete positivity, to fit the data.The decoherence in these models has contributions not only from stochastic quantum gravity vacua operating as a medium, but also from conventional uncertainties in the energy of the (anti)neutrino beam. All these contributions lead to oscillation-length independent damping factors modulating the oscillatory terms from which one obtains an excellent fit to all available neutrino data, including LSND and Kamland spectral distortion.Comment: 27 pages, 2 figure

STABILISASI SLUDGE DARI INSTALASI PENGOLAHAN AIR LIMBAH (IPAL) MENGGUNAKAN STARTER BAKTERI INDIGENOUS PADA AEROBIC SLUDGE DIGESTER

ABSTRAK Stabilisasi sludge merupakan proses degradasi komponen organik menjadi senyawa yang lebih sederhana, serta menghilangkan senyawa toksik dan mengeliminasi senyawa volatil yang menimbulkan aroma tidak sedap dengan memanfatkan berbagai macam mikroorganisme. Bakteri proteolitik dan selulolitik merupakan mikroorganisme indigenous yang dominan dan berperan penting dalam degradasi komponen organik pada lumpur aktif. Penelitian ini bertujuan untuk menangani (menstabilkan) sludge agar dapat dimanfaatkan untuk pembuatan pupuk dengan menggunakan beberapa isolat bakteri indigenous yang berasal dari limbah cair biologis dari industri pangan sebagai starter cair, serta mengetahui pengaruh lama aerasi selama 30 hari terhadap karakteristik stabilisasi sludge.  Perlakuan yang diberikan terdiri atas tiga macam perlakuan   (1) penambahan starter isolat bakteri indigenous proteolitik, (2) penambahan starter bakteri indigenous selulolitik, dan (3) tanpa penambahan starter sebagai kontrol.  Hasil penelitian ini menunjukkan bahwa semua starter bakteri indigenous mempunyai kemampuan untuk mempercepat degradasi komponen organik yang tinggi, tetapi tidak berpengaruh nyata dalam mempercepat periode proses stabilisasi. Penambahan starter bakteri proteolitik meningkatkan tingkat konversi protein menjadi ammonium, sedangkan penambahan starter bakteri selulolitik mampu meningkatkan penyisihan nilai total suspended solids (TSS), volatile suspended solid (VSS), total COD, dan soluble COD dibandingkan dengan kontrol. Penambahan starter bakteri selulolitik mampu menghasilkan rasio C/N yang lebih tinggi (9.17) dibandingkan dengan perlakuan lainnya (7.12 – 8.97).   Kata kunci:  stabilisasi sludge, komponen organik, starter bakteri indigenous, proteolitik, selulolitik

AQFT from n-functorial QFT

There are essentially two different approaches to the axiomatization of quantum field theory (QFT): algebraic QFT, going back to Haag and Kastler, and functorial QFT, going back to Atiyah and Segal. More recently, based on ideas by Baez and Dolan, the latter is being refined to "extended" functorial QFT by Freed, Hopkins, Lurie and others. The first approach uses local nets of operator algebras which assign to each patch an algebra "of observables", the latter uses n-functors which assign to each patch a "propagator of states". In this note we present an observation about how these two axiom systems are naturally related: we demonstrate under mild assumptions that every 2-dimensional extended Minkowskian QFT 2-functor ("parallel surface transport") naturally yields a local net. This is obtained by postcomposing the propagation 2-functor with an operation that mimics the passage from the Schroedinger picture to the Heisenberg picture in quantum mechanics. The argument has a straightforward generalization to general pseudo-Riemannian structure and higher dimensions.Comment: 39 pages; further examples added: Hopf spin chains and asymptotic inclusion of subfactors; references adde

Bicategories for boundary conditions and for surface defects in 3-d TFT

We analyze topological boundary conditions and topological surface defects in three-dimensional topological field theories of Reshetikhin-Turaev type based on arbitrary modular tensor categories. Boundary conditions are described by central functors that lift to trivializations in the Witt group of modular tensor categories. The bicategory of boundary conditions can be described through the bicategory of module categories over any such trivialization. A similar description is obtained for topological surface defects. Using string diagrams for bicategories we also establish a precise relation between special symmetric Frobenius algebras and Wilson lines involving special defects. We compare our results with previous work of Kapustin-Saulina and of Kitaev-Kong on boundary conditions and surface defects in abelian Chern-Simons theories and in Turaev-Viro type TFTs, respectively.Comment: 34 pages, some figures. v2: references added. v3: typos corrected and biliography update