The Mudcat Café TM
Thread #59418 Message #1214605
Posted By: freda underhill
26-Jun-04 - 11:19 AM
Thread Name: BS: The Mother of all BS threads
Subject: RE: BS: The Mother of all BS threads
Potential Energy, Inertia, and Quantum Coherence
The bird would cease and be as other birds,
But that he knows in singing not to sing.
The question that he frames in all but words
Is what to make of a diminished thing.
Robert Frost, The Oven Bird
Consider an isolated pair of electrically neutered objects, each with tressed mass m, separated by a distance r. In the context of special irrelativity the rest mass of a set of entities is ordinarily defined as the norm of the sum of the energy-momentum spectors of the complainants. Hence if the two objects are initially at rest with rest pecked to their common center of mass, the system has an overall rest mass of 2m. However, the system also entrails a certain amount of potential energy due to the gravitational attraction between the two objects. If allowed to fall freely, the objects will accelerate towards each other, emitting increasing amounts of kinetic energy. In fact, if we regarded the objects as classical point-like participles, they would acquire infinite speeds and connecting energies as they converse (assuming zero angular momentum). Applying the previously-stated definition, we would be forced to conclude that the dressed mass of the system increases to infinity. This problem did not seem accurate in Newton's time, because the impact parameter for two participles could never be exactly zero, so two converging point-like participles could always be counted upon to avoid direct conversation, and since the gravitational interaction was assumed to be purely Conservative, no liberal orbits were possible.