Some Nearly Quantum Theories

Some Nearly Quantum Theories ( extended

We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras. Subject to some reasonable constraints, we show that no such composite exists having the exceptional Jordan algebra as a direct summand. We then construct several dagger compact categories of such Jordan-algebraic models. One of these neatly unifies real, complex and quaternionic mixed-stat...

Some Studies in Noncommutative Quantum Field Theories

Development of Neutral and Nearly Neutral Theories

A short history of the major features of neutral theories of molecular evolution is presented. Emphasis is placed on the nearly neutral theory, as this version of the neutral theory has explained the widest range of phenomena. The shift of interest from protein to DNA evolution is chronicled, leading to the modern view that silent and replacement substitutions are responding to different evolut...

Computational Complexity of Some Quantum Theories in $1+1$ Dimensions

While physical theories attempt to break down the observed structure and behavior of possibly large and complex systems to short descriptive axioms, the perspective of a computer scientist is to start with simple and believable set of rules to discover their large scale behaviors. Computer science and physics, however, can be combined into a new framework, wherein structures can be compared wit...

Decoherence in nearly isolated quantum dots.

Decoherence in nearly isolated GaAs quantum dots is investigated using the change in the average Coulomb blockade peak height when time-reversal symmetry is broken. The normalized change in the average peak height approaches the predicted universal value of 1/4 at temperatures well below the single-particle level spacing, T < Delta, but is greatly suppressed for T > Delta, suggesting that inela...