5 papers
The geometry of drums
Koen Thas
We introduce the new concept of D-geometry (or "drum geometry"), which has been recently discovered by the author in \cite{KT-DRUMS} when constructing and classifying isospectral a…
General Quantum Theory
Koen Thas
Inspired by classical ("actual") Quantum Theory over and Modal Quantum Theory (MQT), which is a model of Quantum Theory over certain finite fields, we introduce Genera…
The structure of Deitmar Schemes, II. Zeta functions and automorphism groups
Manuel Merida-Angulo, Koen Thas
We provide a coherent overview of a number of recent results obtained by the authors in the theory of schemes defined over the field with one element. Essentially, this theory enco…
Automorphisms of Deitmar schemes, I. Functoriality and Trees
Manuel Merida-Angulo, Koen Thas
In a recent paper [3], the authors introduced a map which associates a Deitmar scheme (which is defined over the field with one element, denoted by ) wi…
Isospectral drums and simple groups
Koen Thas
Virtually every known pair of isospectral but nonisometric manifolds - with as most famous members isospectral bounded -planar domains which makes one "not hear the sha…