Wednesday, March 01, 2006

relative parallax

relativity
The distance between two objects appears different from different Cartesian directions, but remains constant. The path taken by a thing in both space and time is known as the space-time interval. Space-time intervals are difficult to imagine; they extend between one place and time and another place and time, so the velocity of the thing that travels along the interval is already determined for a given observer.

The last consequence is that clocks will appear to be out of phase with each other along the length of a moving object. This means that if one observer sets up a line of clocks that are all synchronised so they all read the same time, then another observer who is moving along the line at high speed will see the clocks all reading different times. This means that observers who are moving relative to each other see different events as simultaneous. This effect is known as “Relativistic Phase” or the “Relativity of Simultaneity.”

Special relativity inter-relates space and time in such a way that the speed of light is constant, and the theory leads to situations where two observers can disagree over time intervals and distances between events, but without ever disagreeing about what events actually happened. It shows that time can pass more slowly if an observer is moving, depending on their relative speed.

parallax
Parallax (Greek: (parallagé) = alteration) is the change of angular position of two stationary points relative to each other as seen by an observer, due to the motion of an observer. Simply put, it is the apparent shift of an object against a background due to a change in observer position.

In a philosophic/geometric sense: An apparent change in the direction of an object, caused by a change in observational position that provides a new line of sight. The apparent displacement, or difference of position, of an object, as seen from two different stations, or points of view. In contemporary writing a parallax can also be the same story, or a similar story from approximately the same time line, from one book told from a different perspective in another book

Parallax is often thought of as the “apparent motion” of an object against a distant background because of a perspective shift. Binocular parallax is a binocular clue to depth perception, especially of near objects. Each eye views an object from a slightly different position, so the image seen by each is slightly different; fusion of the two images in the brain creates perception of depth. Monocular parallax is an important monocular clue to depth perception. As the head or the eye is moved from side to side, distant objects appear to move more slowly than do closer objects.