"On The Differential Geometry of the Curves in
Minkowski Space-Time II," Int.
Zampetti, The Mathematics of
Minkowski Space-Time, Birkhauser, Boston, Mass, USA, 2008.
Normal curves in the
Minkowski space-time are defined in [5] as the space curves whose position vector (with respect to some chosen origin) always lies in its normal space [T.sup.[perpendicular to]], which represents the orthogonal complement of the tangent vector field of the curve.
Sucurovic, On pseudohyperbolical curves in
Minkowski space-time, Turk J.Math.
While this part invokes Lorentz transformations,
Minkowski space-time diagrams and mathematical formulae many philosophers haven't seen since their undergraduate days, Bourne produces a marvelously clear introduction to all the necessary terminology and concepts in Chapter 5, 'Physics for Philosophers'.
After a rather confusing attempt to explain the role of Hilbert space in quantum mechanics to a lay audience, Walker launches into a fairly muddled discussion that confuses the
Minkowski space-time signature matrix with the matrices used in quantum mechanics.
In his classic 1949 study of the empirical foundations of the
Minkowski space-time metric, i.e., relativistic kinematics, H.
Nowak, "From noncommutative [kappa]-Minkowski to
Minkowski space-time," Physics Letters B, vol.
The radii [r.sub.d] (= [r.sub.e]/[beta][gamma]) and [r.sub.L] (= [r.sub.e]/[gamma]) are the electron de Broglie radii in the space and time directions on the
Minkowski space-time diagram, where [beta] = [upsilon]/c < 1 and [gamma] = 1/[square root of (1 - [[beta].sup.2])].
For the theory of extremal surfaces/submanifolds in the
Minkowski space-time, many important results have been derived ([3-6]).
We can write the N-extended Poincare superalgebra [10-12] for D = 4 dimensional
Minkowski space-time as
|1983~: 'Relational Theories of Euclidean Space and
Minkowski Space-Time', Philosophy of Science, 50, pp.