论文标题
M理论,黑洞和宇宙学
M-theory, Black Holes and Cosmology
论文作者
论文摘要
本文在迈克·达夫(Mike Duff)诞辰70周年之际致力于迈克·达夫(Mike Duff)。我讨论了一些与迈克的利益密切相关的M理论/弦理论/超级实力的问题。我描述了Stu Black Hole熵,Cayley Hypersederminant,Bhargava Cube和3 Quibit Alice,Bob,Charlie Triality Symmetry之间的关系。我很快就描述了我最近与Gunaydin,Linde,Yamada在Meory Cosmology上的工作,灵感来自Duff与Ferrara和Borsten,Levay,Marrani等人的作品。在这里,我们有7个Qubits,包括Alice,Bob,Charlie,Daisy,Emma,Fred,George在内的聚会。八元和锤误纠正代码是这些模型的基础。它们导致7个基准目标的未来CMB任务,以寻求通货膨胀的原始引力波。我还显示了这些宇宙学模型,杰出的约旦特征值问题和黑洞熵的费米昂质量特征值之间的令人困惑的关系。我们的宇宙学模型的对称性用E7根系的Coxeter投影的美丽图片说明了。
This paper is dedicated to Mike Duff on the occasion of his 70th birthday. I discuss some issues of M-theory/string theory/supergravity closely related to Mike's interests. I describe a relation between STU black hole entropy, Cayley hyperdeterminant, Bhargava cube and a 3-qubit Alice, Bob, Charlie triality symmetry. I shortly describe my recent work with Gunaydin, Linde, Yamada on M-theory cosmology, inspired by the work of Duff with Ferrara and Borsten, Levay, Marrani et al. Here we have 7-qubits, a party including Alice, Bob, Charlie, Daisy, Emma, Fred, George. Octonions and Hamming error correcting codes are at the base of these models. They lead to 7 benchmark targets of future CMB missions looking for primordial gravitational wave from inflation. I also show puzzling relations between the fermion mass eigenvalues in these cosmological models, exceptional Jordan eigenvalue problem, and black hole entropy. The symmetry of our cosmological models is illustrated by beautiful pictures of a Coxeter projection of the root system of E7.