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

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

Wildlife and Human Diseases: Symptoms of Endangered Marine Ecosystems & Climate Change

The Center for Health and the Global Environment, Harvard Medical School; Wildlife Trust; the Consortium for Conservation Medicine; and the Environmental and Energy Study Institute hosted a Congressional briefing entitled "Wildlife and Human Diseases: Symptoms of Endangered Marine Ecosystems and Climate Change." The marine coastal environment is being subjected to increased pressure from residential, recreational, and commercial development. The combined effects of spills, leaks and accidents associated with oil extraction and transport further weakens coastal ecosystems leaving them vulnerable to injury. These disturbances, in conjunction with new stresses posed by climate change, is adversely affecting the health of marine life. An increase in disease among marine species raises significant concern on the part of scientists, environmental researchers, and policymakers who believe such events herald heightened risk to wildlife and humans

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