XmasDVD
02-21-2008, 10:59 PM
(please reply)
In the other post of mine with the interview, Cuse says this:
"CUSE: As is Minkowski, who's on the freighter. Those names are clues related to the space-time issues that will become more significant downstream. "
Check out what I found out about "Minkowski" (the real person)
The Einstein-Minkowski Spacetime
The characteristic feature of Galileo's Spacetime was the set of horizontal slices representing "planes of simultaneity". On a given plane, all of its events are simultaneous. This is the notion of Absolute Time, in which all observers agree on the elapsed-time between two given events. In the particular case of "zero elapsed-time", all observers agree that the events on a given horizontal plane are simultaneous.
(see cone below)
http://www.phy.syr.edu/courses/modules/LIGHTCONE/pics/mink-st.gif
Introducing The Light Cone
The characteristic feature of this spacetime is the Light Cone, a double-cone centered at each event in Spacetime. (By the conventional choice of units used in relativity, the sides of the cone are sloped at 45 degrees. This corresponds to choosing units where time is measured in seconds and distances in light-seconds. A light-second is the distance light travels in one second.)
The upper-cone (called the future light-cone) represents the future history of a light-flash emitted at that event.
The lower-cone (called the past light-cone) represents all directions from which light-flashes can be received at that event.
The Light Cone represents the idea that "the direction of the light-flash does not depend on the motion of the source---but just on the event at which the light-flash is emitted." In addition, by the Einstein Principle of Relativity, all observers, regardless of their motions, must (because of Maxwell's Laws) measure the speed of light to be the same constant, in all directions. That is to say, "all observers will universally agree on the Light Cones at each event." This means that each observer drawing a spacetime diagram in which he is at rest must have the worldlines of light-flashes at the same angle of 45 degrees from his worldline (his time axis), and 45 degrees from his plane of simultaneity (his space axes)."
Read More --> http://www.phy.syr.edu/courses/modules/LIGHTCONE/minkowski.html
In the other post of mine with the interview, Cuse says this:
"CUSE: As is Minkowski, who's on the freighter. Those names are clues related to the space-time issues that will become more significant downstream. "
Check out what I found out about "Minkowski" (the real person)
The Einstein-Minkowski Spacetime
The characteristic feature of Galileo's Spacetime was the set of horizontal slices representing "planes of simultaneity". On a given plane, all of its events are simultaneous. This is the notion of Absolute Time, in which all observers agree on the elapsed-time between two given events. In the particular case of "zero elapsed-time", all observers agree that the events on a given horizontal plane are simultaneous.
(see cone below)
http://www.phy.syr.edu/courses/modules/LIGHTCONE/pics/mink-st.gif
Introducing The Light Cone
The characteristic feature of this spacetime is the Light Cone, a double-cone centered at each event in Spacetime. (By the conventional choice of units used in relativity, the sides of the cone are sloped at 45 degrees. This corresponds to choosing units where time is measured in seconds and distances in light-seconds. A light-second is the distance light travels in one second.)
The upper-cone (called the future light-cone) represents the future history of a light-flash emitted at that event.
The lower-cone (called the past light-cone) represents all directions from which light-flashes can be received at that event.
The Light Cone represents the idea that "the direction of the light-flash does not depend on the motion of the source---but just on the event at which the light-flash is emitted." In addition, by the Einstein Principle of Relativity, all observers, regardless of their motions, must (because of Maxwell's Laws) measure the speed of light to be the same constant, in all directions. That is to say, "all observers will universally agree on the Light Cones at each event." This means that each observer drawing a spacetime diagram in which he is at rest must have the worldlines of light-flashes at the same angle of 45 degrees from his worldline (his time axis), and 45 degrees from his plane of simultaneity (his space axes)."
Read More --> http://www.phy.syr.edu/courses/modules/LIGHTCONE/minkowski.html