60 citations · 587 across the 45 of their papers we have counts for
45 papers
Towards a Quantum Erlangen Program
Matthew J. Lake
The classical Erlangen Program sought to classify metric spaces entirely in terms of their symmetries. In physical spacetimes, these symmetries define transformations between class…
How many degrees of freedom describe a quantum N-particle state?
Matthew J. Lake, Marek L. Miller
In Newtonian spacetime, the canonical description of a classical -particle system requires degrees of freedom. Not all of these are physical, however, since the conservatio…
The (1+3)-dimensional 'quantum principle of relativity' is Einstein's principle of relativity
Matthew J. Lake
We show that the -dimensional `superboost' operators, proposed in Dragan and Ekert's most recent work on superluminal reference frames \cite{Dragan:2022txt}, are simply the…
Towards a group structure for superluminal velocity boosts
Matthew J. Lake
Canonical subluminal Lorentz boosts have a clear geometric interpretation. They can be neatly expressed as hyperbolic rotations, that leave both the family of -sheet hyperboloid…
Quantum reference frames, revisited
Matthew J. Lake, Marek Miller
The topic of quantum reference frames (QRFs) has attracted a great deal of attention in the recent literature. Potentially, the correct description of such frames is important for…
An Introduction to Noncommutative Physics
Shi-Dong Liang, Matthew J. Lake
In recent years, many new developments in theoretical physics, and in practical applications rely on different techniques of noncommutative algebras. In this review, we introduce t…