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A new view on relativity: Part 2. Relativistic dynamics
The Lorentz transformations are represented on the ball of relativistically
admissible velocities by Einstein velocity addition and rotations. This
representation is by projective maps. The relativistic dynamic equation can be
derived by introducing a new principle which is analogous to the Einstein's
Equivalence Principle, but can be applied for any force. By this principle, the
relativistic dynamic equation is defined by an element of the Lie algebra of
the above representation. If we introduce a new dynamic variable, called
symmetric velocity, the above representation becomes a representation by
conformal, instead of projective maps. In this variable, the relativistic
dynamic equation for systems with an invariant plane, becomes a non-linear
analytic equation in one complex variable. We obtain explicit solutions for the
motion of a charge in uniform, mutually perpendicular electric and magnetic
fields. By the above principle, we show that the relativistic dynamic equation
for the four-velocity leads to an analog of the electromagnetic tensor. This
indicates that force in special relativity is described by a differential
two-form
What Went Wrong? Lessons in Leadership from Solomon, the Bible’s Wisest and Worst Ruler
This paper attempts to demonstrate the many insights about successful and unsuccessful leadership that may be derived from the life of King Solomon, who, according to Scripture, was the wisest man who ever lived. Solomon may have been very wise but made some very serious blunders as a leader that led to the breakup of his empire after his son took over. This paper answers the obvious question as to which mistake/character flaw transformed Solomon from a great leader to an unsuccessful leader. This paper will also examine the Book of Proverbs attributed to Solomon and see what leadership lessons can be gleaned from it. One question that the paper will attempt to answer is whether or not Solomon followed the path of wisdom discussed in Proverbs
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