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

Explicit solutions for relativistic acceleration and rotation

The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic dynamic equation. 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 assuming the Clock Hypothesis and using these solutions, we are able to describe the space-time transformations between two uniformly accelerated and rotating systems.Comment: 15 pages 1 figur

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

Common Law Decision-Making, Constitutional Shadows, and the Value of Consistency: The Jurisprudence of William F. Batchelder

[Excerpt] “This is an essay about common law decision-making, with an emphasis on the value of consistency as it relates to claims about the legitimacy of judicial lawmaking. The legitimacy of judicial lawmaking is ever an issue, particularly, of course, in the cases at the margins—those instances in which precedent points the court in no obviously correct direction, a choice must be made between plausible alternative paths, and “a decision one way or the other,” as Benjamin Cardozo observed, “will count for the future, will advance or retard, sometimes much, sometimes little, the development of the law.”

Firm Ownership and Internal Labor Practices in a Transition Economy: An Exploration of Worker Skill Acquisition in Vietnam

One feature common to many post-socialist transition economies is a relatively compressed wage structure in the state owned sector. We conjecture that this compressed wage structure creates weak incentives for work effort and worker skill acquisition and thus presents adverse consequences for the entire transition economy if a substantial portion of the labor force works in the state sector. We explore firm wage incentives and worker training, as well as other labor practices and outcomes, in a transition setting with matched firm and worker data collected in one of the largest provinces of Vietnam – Ho Chi Minh City. The Vietnamese state sector exhibits a compressed wage distribution in relation to foreign invested privately owned firms. State wage practices stress tenure over worker productivity and their wage policies result in flatter wage – experience profiles and lower returns to education. The state work force is in greater need for formal training, a need that is, in part, met through direct government financing. In spite of the opportunities for government financed training and at least partly due to inefficient worker incentives, state firms, by certain measures, exhibit lower levels of labor productivity. The private sector comparison group to state firms for all of these findings is foreign owned firms. The internal labor practices of foreign firms are more consistent with a view of profit-maximizing firms operating with no political constraints. This is not the case for Vietnamese de novo private firms that exhibit much more idiosyncratic behavior and whose labor practices are often indistinguishable from state firms. The exact reasons for this remain a topic of ongoing research yet we conjecture that various private sector constraints, including limited access to formal capital, play an important role.http://deepblue.lib.umich.edu/bitstream/2027.42/40082/3/wp696.pd

Corrigendum to "Intersection homology with field coefficients: K-Witt spaces and K-Witt bordism"

This note corrects an error in the char(K)=2 case of the author's computation of the bordism groups of K-Witt spaces for the field K.Comment: This note contains the corrected statements for characteristic 2 of the main theorems of arXiv:0804.1933v2. Full details can be found in arXiv:1208.3683v1. To appear in Communications on Pure and Applied Mathematic