Tanaka, Yutaka. "Whitehead's Principle of Relativity." Ed. Zang, Yanyang. Hebie, China: Hebie University Press, 2003. 264-269.
Abstract
Einstein’s
principle of relativity has two components: one is the special
principle, and the other is the general one. The former states that all
inertial systems are equivalent for the description of natural
phenomena, while the other claims that the same equivalence should hold
generally in any chosen frame of reference. Whitehead did not rely on
either of them. First, he pointed out in The principle of Natural
Knowledge that the physical content of Einstein’s theory can be deduced
without relying on Einstein’s principles. The special theory of
relativity correlates space to time through the Lorentz-Transformation,
which Einstein deduced from the combination of the special principle
and the principle of the constant velocity of light. Whitehead, on the
other hand, deduced the same transformation from the weaker principles
of kinematics and geometry, i.e., (i) the uniformity and symmetry of
space-time, (ii) the symmetry and transitiveness of transformation, and sof forth…