  Kant and Hegel are among the philosophers who are guiding the way in which we
reason these days. It is thus of interest to see how physical theories have
been developed along the line of Kant and Hegel. Einstein became interested in
how things appear to moving observers. Quantum mechanics is also an
observer-dependent science. The question then is whether quantum mechanics and
relativity can be synthesized into one science. The present form of quantum
field theory is a case in point. This theory however is based on the algorithm
of the scattering matrix where all participating particles are free in the
remote past and in the remote future. We thus need, in addition, a
Lorentz-covariant theory of bound state which will address the question of how
the hydrogen atom would look to moving observers. The question is then whether
this Lorentz-covariant theory of bound states can be synthesized with the field
theory into a Lorentz-covariant quantum mechanics. This article reviews the
progress made along this line. This integrated Kant-Hegel process is
illustrated in terms of the way in which Americans practice their democracy.
