  In my previous work, physics/0205011, I reported several observations on
special relativity, its experimental facts and its relations to quantum
mechanics and statistical mechanics. These observations made us conscious:
Special relativity is not a ultimate theory; Some modification is needed; Any
modification must not violate the principles of the constancy of the light
speed and of the local Lorentz invariance; We probably have to change the
assumption on local structures of gravity-free space and time in special
relativity. Actually, such a kind of modification of special relativity has
been already done. The generalized Finslerian structures of gravity-free space
and time in the usual inertial coordinate system have been proposed. Here, in
this lecture, I talk about these structures of gravity-free space and time and
their recognized phenomena.
