How does it not change when the light changes it's heading? The heading of light is different than before it passed near a gravity field isn't it? So how isn't the momentum changed? Please show me the mathematical equations on how is it possible for momentum not to change and yet the heading of the light is different.Who is like God arbour wrote:Kane Starkiller,
as I see it, you are not able to explain it because you don't really understand it.
You have learned - as I have learned - that in a closed system momentum is constant. If something is changing the mass or the velocity (velocity = speed + direction) of an object, momentum is transfered to that something that is changing the mass or the velocity.
But when light is flying through curved space - as it is always doing - it doesn't really experience a change in its momentum. Neither the speed nor the direction is really changed. The light has in the space in which it is the same direction with the same speed. In that curved space-time there happens nothing to the light.
See this? The heading of light is changed while flying near the sun AND REMAINS CHANGED AFTER IT MOVES AWAY.
HEADING BEFORE ENCOUNTER!=HEADING AFTER ENCOUNTER
THEREFORE
MOMENTUM BEFORE ENCOUNTER!=MOMENTUM AFTER ENCOUNTER
Can you grasp this?
Ah so the light doesn't change it's momentum and yet it has a different speed vector after is exits the curvature than before it entered doesn't it? By all means show me mathematical equations on how is it possible to change the heading of the beam without changing momentum. You'll notice of course that the page doesn't change anything about momentum.Who is like God arbour wrote:I have found an explanation in English on another side. Maybe that will help you more:
It has been observed that the gravitational fields of very massive objects (star sized) “bends†light rays which pass by it. The phenomenon, known as gravitational lensing has been recorded and verified. But what is going on here? Does this mean the light has mass to be attracted to gravity?
According to general relativity gravity is manifest as disturbances or warping of the topology (or geometry) of space-time. Bodies which can gravitate warp the space-time in their vicinity which changes the path of nearby objects through space-time.
Definitions: the path of an object through space-time is called a worldline, the worldline of a photon is called a geodesic. Ok, now here’s the crunch: light rays don’t actually bend in response to gravitation! The geodesic looks bent in three dimensions, but is actually a straight path through 4D. An analogy may help illustrate: imagine a plane flying overhead in three dimensions. Now suppose its image is directed onto a two dimensional irregular surface – lets say the plane’s shadow falls on some hilly ground. Now the plane may fly a straight path above in 3D while its 2D image appears to deviate all over the place! If you were constrained to the 2D surface you would perceive the plane’s path to curve. Everything follows naturally determined paths through space-time in this way, light does as well.
It's wonderfull how that description is exactly saying what I have said (or at least have tried to say) the whole time. The light does not really experience a change in its momentum. The path of the light only seems to be changed. But at the point, where the changing appears to happen - in the curved space-time, nothing really happens to the light.
And this has what to do with your claim that gravitational forces violate momentum? You do realize that this curved space time theory is just another explanation of the gravitational force right? How does any of this prove that there is no momentum transfer?Who is like God arbour wrote:Another side, on which it is explained good is Curved Spacetime:
Light travels along the shortest path between two points in spacetime (a geodesic). If the geodesic is curved, then the path of light is curved. Einstein proposed in his General Relativity theory that what is called gravity is really the result of curved spacetime.
http://www.astronomynotes.com/evolutn/grwarp.gif
No shit Sherlock! And Earth's probe is orbiting Jupiter for the exact same reason. And if it uses Jupiter's gravity (or in general relativity curvature in space time caused by Jupiter's mass) IT WILL SLOW DOWN JUPITER. The same goes for the light beam. Thanks for proving my point.Who is like God arbour wrote:The Earth does not orbit the Sun because the Sun is pulling on it. The Earth is simply following the shortest path in four-dimensional spacetime.
And this proves violation of momentum how again? You do realize that map-globe is just an analogy and cannot be used to mathematically model the situation right?Who is like God arbour wrote:If you have ever taken a long flight, you probably already know that the shortest distance between two cities is not a straight line. Non-stop flights from the United States to Europe fly over parts of Greenland. On a flat map the plane's flight path looks curved, but on a globe, that path is the shortest one! Light travels along a geodesic path between two points in spacetime. Far from any gravity source, the shortest distance is a straight line in three-dimensional space. Near a massive object, the shortest distance is curved in three-dimensional space. Stephen Hawking gives the nice analogy that what we see is like the curved motion of a shadow on the ground from a plane flying in a straight line over hilly terrain.
No it isn't. Laser is following the shortest distance but it's momentum is changed and that is caused by curvature of space time which is caused by planetary mass. Therefore the changed momentum of light will be transfered to the mass. Curvature of space time is simply an attempt to explain why gravity exists. It is theorised that large masses bend space time and thus objects "fall in". ABSOLUTELY NOTHING in that theory suggests that it can change the heading of an object without changing it's momentum.Who is like God arbour wrote:It is as I have said the whole time.
Really. You keep posting these articles without providing a single explanation or formula as to HOW OR WHY INTERPRETING GRAVITY AS CURVATURE IN SPACETIME MEANS THAT THERE IS NO MOMENTUM TRANSFER. Answer this.
By the way don't think I haven't noticed how you have no explanation as to why Federation ships aren't able to deflect ALL matter.
Remember what you said? ALL matter follows the space time geodesic. So why is only light affected?
P.S. Oh and there is also a small matter of you still not proving Starfleet's ability to simulate planetary masses which are essential for any kind of significant bending of light. Need I remind you AGAIN that even warp drive causes no visible light bending? Stop evading these points.