18 citations · 104 across the 24 of their papers we have counts for
24 papers
On the Equivalence Principle and Electrodynamics of Moving Bodies
Maciej Trzetrzelewski
We consider a certain extension of the Einstein's elevator thought experiment by assuming that the elevator is charged and falls into an electromagnetic field. We argue, on grounds…
Relativistic Black-Scholes model
Maciej Trzetrzelewski
Black-Scholes equation, after a certain coordinate transformation, is equivalent to the heat equation. On the other hand the relativistic extension of the latter, the telegraphers…
Dirac equation for strings
Maciej Trzetrzelewski
Starting with a Nambu-Goto action, a Dirac-like equation can be constructed by taking the square-root of the momentum constraint. The eigenvalues of the resulting Hamiltonian are r…
A note on the principle of least action and Dirac matrices
Maciej Trzetrzelewski
Many Lagrangians of physical theories can be expressed as eigenvalues of certain, relatively simple, matrices involving Dirac gamma matrices. We give concrete examples for Lagrangi…
Towards the Ground State of the Supermembrane
Yoji Michishita, Maciej Trzetrzelewski
The explicit, near the origin, form of the ground state of the SU(2) supermembrane matrix model is studied. We evaluate the 2nd order terms of the Taylor expansion of the wave-func…
Matrix regularization of embedded 4-manifolds
Maciej Trzetrzelewski
We consider products of two 2-manifolds such as S^2 x S^2, embedded in Euclidean space and show that the corresponding 4-volume preserving diffeomorphism algebra can be approximate…