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#151 | |||||||||||||||||||||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
We're talking about scenes where a relatively stationary target witnesses a starship make the sudden transition from FTL to sublight speed and vice-versa. In every single case, we see the distinct warp flash -- indicative of a ship crossing the light barrier -- following by the streaky image of a hugely accelerated but still sublight vessel.
1 - Did they fire before or AFTER Stargazer did? 2 - Was it confusion of the second target reappearing, or the confusion caused by the dozens of consoles exploding all over their bridge?
The light trail exists as a form of extreme motion blur; the ship appears to be "stretched" along its direction of travel because it travels a much greater distance between the emission of any two photons; if it travels at the speed of light, it appears to occupy those two positions simultaneously, and if it's much faster than light it appears to occupy MANY positions at once (those positions are so close together that they appear to be a single elongated image, hence it is a "trail" and not a Picard-maneuver double image). Warp drive allows the SHIP to travel faster than light, but it doesn't affect the speed of light itself. So in this case it's not a question of whether or not the lightspeed delay still applies over relative distances or relative speeds, it's literally a question of which thing -- the photon or the ship that emitted it -- will arrive at its destination first.
Just because you have enough time to press a button does NOT mean you have enough time to run to your tactical officer and have a serious discussion about which of those two targets you should fire your torpedoes at.
The answer is: their relative velocity is ZERO, thus the time delay is the same in both directions and both ships have clear images of one another, despite the fact that both of them are going at warp speed. This is because in SR there's no such thing as a "universal reference frame" and the speed of light is always the same from all possible perspectives (that's what causes time dilation: the moving observer has his clock accelerated with respect to the stationary one so that his measurement of C remains unchanged). As I said above, the only weird part is that a ship can arrive at a destination before the photons it emitted arrives there (which is what happens in the Picard Maneuver). That same trick doesn't really work in reverse; if you go to warp AWAY from someone, they'll see you leaving, they'll see where you're going, and they'll see your streaky image flying off all the way to your destination. They will, of course, not see you arrive until a long time after you get there, which leaves open the possibility that you can warp over to a distant location and them warp back without them realizing you went anywhere at all. (This is basically what Hathaway did in "Peak Performance"; I'm beginning to think that maybe those Constellation-types are abnormally fast for starships).
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#152 | |||||||||||||||||||||||
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Commodore
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Re: Federation Law of restricting cloaking device
LS Sensors on an FTL ship chasing another FTL ship is analogous to following a trail by scent while running blindfolded.
Relevant; Data's plan focused on using the tractor beam to seize the Stargazer and restrict it's weapons fire which did not include use of weapons.
The existence of the warp streak tells us it is at warp. It doesn't tell us it is about to accelerate or decelerate from/to sublight.
PICARD: Well, I did what any good helmsman would have done. I dropped into high warp, stopped right off the enemy vessel's bow and fired with everything I had.From the sequence in the dialogue, the attacker fired on the wrong one after the Stargazer appeared to be in two places at once. Picard doesn't say it was his weapons fire that caused the attacker to fire on the wrong target. Picard added to Riker's "two places at once" as the cause of firing at the "wrong one." 3. You left out did they fire at each other at the same time and the Ferengi just chose the wrong target?
In any case, I don't think you really believe Special Relativity and FTL. The last paragraph you write: "As I said above, the only weird part is that a ship can arrive at a destination before the photons it emitted arrives there" You are already in agreement that a ship at FTL will outrun it's own emitted photons. There would be no way for an FTL ship with LS sensors to be able to see what is in front of it as it is blind. And it will not be able to see what it is behind it as no photon would hope to catch up to it until the ship goes STL again.
Now from the Ferengi's POV, it might have made sense to fire at the Old Stargazer and ignore the New Stargazer. They knew that they only had to hit the Old Stargazer once to kill it so as a Captain when faced with two targets, he might have thought to even the odds first by killing the weaker opponent first.
Since we observe in the episode the E-D's main viewer showing the warp engine flash, warp streak and then appearance of the 2nd image of the Stargazer "blowing into Warp 9" and that we know the E-D can detect incoming warp speed ships in other episodes we are left with a sudden Warp 9 jump at a target ship with FTL sensors can temporarily confuse it into seeing two images, IMO. |
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#153 | |||||||||||||||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
It is not necessary to fly THROUGH the trail in order to detect it; you can see the trail from a distance, as long as you're behind it.
You're also conflating the engine glow from the TMP era with the elongated blur we see from TNG onwards; those are very different phenomena, considering TNG vessels don't have a noticeable glowing trail.
A "firing solution" is a term derived from the mathematical equations used to direct artillery batteries; literally, a solution to an equation that involves the speed and direction and distance of the target, the speed and direction of the shooter, the arc and velocity of the shell, wind direction and coriolis effect, all to work out a determination of which way the gun must be pointed to score a hit. It is used by analogy to refer to weapons guidance in, for example, sonar-guided torpedoes and guided missiles involving the calculations needed for a guided weapon to properly intercept its target given its own constraints. The commonality here is that a firing solution is a calculation based on the spotter's best estimate of those values; in artillery, the solution becomes more accurate after the first couple of shots as you can see where your shells actually landed and compare that with your calculations to adjust accordingly. Guided missiles, on the other hand, do this in real time, by constantly adjusting their course based on the radar signal they're getting back from their target and recomputing the optimal trajectory they need to take thousands of times a second. IOW, for a guided missile or a torpedo, a "firing solution" consists of a computer asking itself "Am I going to hit it? Am I going to hit it? Am I going to hit it?" over and over again. A "phaser lock" apparently works the same way, considering it is possible to maintain a phaser lock against a maneuvering target. The "float" means the FCS is constantly re-runnning this calculation all the time so that the solution remains current and you're not firing on where the target was expected to be a couple of seconds ago.
And Picard doesn't speculate on WHY the Ferengi fired on the wrong target. He merely states that they did, because that's literally all the information he had available.
Warp drive makes it weird because you no longer have to be in another galaxy on the other side of the universe to be moving away from someone at FTL speeds. But SR still applies in exactly the same way.
Classically, this would be explained by relativistic time dilation. Warp drive is described as precluding time dilation of any kind, but I'm reminded that in special relativity, time dilation is an observation difference and doesn't actually occur (it literally does in general relativity, usually due to gravitationally distorted spacetime). That is, if you're moving at relativistic speeds, an observer looks at you and sees that time appears to have slowed down tremendously for you, and that distorted time explains why you don't realize the photons' relative velocity is reduced (you think it's C, he thinks it's <C). You look at the observer and record the same thing: HIS time is slowed down, which is why he doesn't realize that his photons are moving towards you slower than they should be (he thinks it's C, you think it's <C). At FTL velocity, the distortion effect is so great that the FTL starship appears to be moving BACKWARDS in time; you appear to arrive in a place before you actually left, you appear to finish sentences you haven't started yet, etc. This is because the observer may track a photon leaving your ship and calculate a NEGATIVE velocity while you still calculate the normal lightspeed; that is only possible if your clock is running backwards, skewing your measurements. And again, the same observation works in reverse: from the starship's perspective, EVERYONE ELSE is moving backwards in time, which explains why their photons appear to be moving TOWARDS THEM (that is, your forward speed minus the normal lightspeed at which you receive them). Simultaneity is preserved, but cannot be observed. Though the speed of light remains constant in all reference frames, it means that observers moving at high speed relative to each other cannot make truthful observations about what's happening to one another; their observations are valid in their own reference frames, and ONLY their own reference frames.
This seems to be the case in "Way of the Warrior." The Klingons hit DS9 with about thirty ships, which is unfortunate because it apparently means every single one of them has about 1/30th their normal hull and shield strength (and we got to see a couple of Vorchas blown to bits where earlier in the same episode they seemed to take a pretty heavy pummeling). I suspect the same is likely to be true of the Ferengi; if Bok Junior had been part of a fleet of twenty ships, then the Picard Maneuver would have been used to destroy every single one of them in a massive guns-blazing turkeyshoot (and a couple of those twenty ships would have gotten confused and fired on the wrong target). One on one, though, concentrates the Ferengi's supply of badass on a single ship and makes it harder to kill; instead of simply blowing apart, the Ferengi ship would have listed sickeningly for a few moments with fire and secondary explosions billowing out, etc etc.
Riker: "Worf..." <BOOM!> what can you tell me about that bird of prey? Any weaknesses?" <BOOM!> Worf: "They're using an old D12 bird of prey... <BOOM!> They were retired from service because of defective plasma coils!" Riker: "Any way we can use that to our advantage?" <BOOM!> Worf: "Are you shitting me? We're in the middle of a battle! Shut up and give some damn orders!"
Regardless, though, the fact is Stargazer is depicted as being very quick on the draw after deceleration. I could buy that Bok fired at the same time, but firing FIRST doesn't fit the narrative.
More importantly, most of the things in the universe were already there long before you engaged your engines, so you won't have to worry about them appearing to be in multiple places. It gets more complicated with another FTL ship, but it's worth keeping in mind that since light takes a certain amount of time to travel, you can see where he was thirty seconds ago, then where he was twenty seconds ago, then where he was ten seconds ago, etc etc until you get close enough to match velocities. Matching velocities restores simultaneity; all those weird time-dilation effects disappear and you are free to lock your weapons onto the target as you normally would.
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It appears to be powered by some form of electricity... Last edited by Crazy Eddie; November 12 2012 at 05:56 PM. |
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#154 | ||||||||||||||||||||||
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Commodore
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Re: Federation Law of restricting cloaking device
The other problem you have is that the speed of light is still slower than the observers AKA ships traveling Faster Than Light. That's why, by definition, FTL ships can outrun their emitted photons and thus with LS sensors are completely blind and are literally feeling their way through space as radiation runs into them.
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"Suddenly Appeared" Not Equal to "In the Middle Of..."
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Which begs another question, why would you run to the tactical officer to have a discussion in the middle of combat? Perhaps a bit inexperienced OR THEY AREN'T THAT GOOD? Or did the young, inexperienced Ferengi Captain just say, "Fire at the Stargazer, ignore the new ship!" And to point out that you wrote about TIME, whereas I wrote about WHY: "Just because you have enough time to press a button does NOT mean you have enough time to run to your tactical officer and have a serious discussion about which of those two targets you should fire your torpedoes at." In anycase your "Generations" example points out that: 1. Worf still waited for authorization to fire the torpedoes to finish off the BOP 2. and the E-D succumbed to all the hits inflicted upon it 3. but they still had time to target the right ship ![]()
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An FTL ship with LS Sensors chasing another FTL ship by following it's light trail simply cannot know how far ahead or even how long the trail is because it can only receive the radiation. Matching velocities could only mean the chasing ship accidentally colliding with the other ship. |
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#155 | ||||||||||||||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
And for all three possibilities, we're talking about timing differences of three or four seconds, if that. If the Ferengi were that quick on the draw, I doubt they would have been stupid enough to ignore the target that had suddenly appeared right in front of them.
When the starship you've been trying to destroy for the last few minutes suddenly jumps into firing position and hammers you with phasers and photon torpedoes at point blank range... well, you get the idea.
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#156 | |||||||||||||||||||
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Commodore
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Re: Federation Law of restricting cloaking device
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And when a ship that was considered damaged and about to die in the distance suddenly is joined by a new ship that appeared out of no where it's called a surprise attack which will lead to further combat.
So, the possibilities we have are: 1. Stargazer and Ferengi ship exchanged fire simultaneously. Ferengi chose the wrong target. 2. Ferengi fire first, but chose the wrong target. 3. Ferengi fired second but due to damage or confusion prior to its immediate destruction, fired at the wrong target. You used the "Generations" example, so I'm just playing off it In anycase, the Ferengi weapons officer didn't have any reason to go rogue and start shooting on his/her own, or at least we're not presented with information to suggest that.
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#157 | ||||||||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
In relativity -- ANY flavor of it -- a reference frame is considered to be a mathematical coordinate system with the firsthand observer (Let's call him "Steve") at the center. Steve has an omniscient instant-information tool that can make measurements of velocity, distance and direction for other objects that exist within his reference frame with him. Since Steve is measuring from his own fixed position, there is no measurable quantity for "Steve's velocity." You can measure the relative velocity between Steve and an outside observer (let's call this observer "Joe"), but in Steve's reference frame, JOE is the one who is moving. So Steve is happily humming along in his reference frame until he sees a flash of light, looks over with his omniscient godlike tool and sees Joe speeding towards him. Steve's tool will measure Joe's velocity by measuring the distance between them and recording how much the distance changes over a given time interval (Delta-D and Delta-T gives you V). He sees that in the space of one second, Joe has moved one million kilometers closer to him, ergo Joe is moving towards him faster than light. But Steve can also use his tool to measure the speed of the photons being emitted from Joe as he moves through space; again, measuring the distance changes in the rate of time, Steve's tool sees that those photons moved just under 300,000km closer to him in the same second. So in Steve's reference frame, Joe has outrun his own reflection and is moving towards him faster than his photons are. So what if Steve uses his magical tool to measure his OWN photons? He will, of course, see them moving away from him at the speed of light. This is because Steve is in a stationary frame of reference measuring velocities and distances to other objects that happen to pass through that frame. The thing about special relativity is, Joe's magical tool would be able to make the exact same calculations at the exact same time and come to the exact same conclusions with regard to his own frame: from his point of view, STEVE is moving towards him at superluminal velocity and his own photons are uniformly moving outward at C. Both frames are equally valid, even when they contradict.
So Steve moves towards Joe at FTL velocity for one second and then stops at a point 2 light seconds away and waits for Joe to see him. In Steve's reference frame, it takes that photon 3 seconds to reach Joe: the photon traveled 1 light second while he was moving at 2 light seconds after he stopped. Vice versa for Joe, whose photons cover the exact same distance in the exact same time interval. But if Joe measures STEVE'S photons (IOW, Steve's image) then he sees that Steve's photons take much longer than 3 seconds to reach him. That means that Steve and Joe will have two totally contradictory observations of reality: Steve will record that his photons reached Joe at the same moment that Joe's photons reached Steve, but Joe records that his photons arrived at Steve two seconds before Steve arrived at Joe. That cannot usually be reconciled because SR treats both reference frames as being mathematically valid (in reality, it is invalid to treat only ONE of them as the moving observer and therefore both of them would reach identical but contradictory conclusions). The only way to reconcile the contradiction mathematically is if Joe comes to the conclusion that one of the parameters of Steve's measurement device was skewed during travel: Steve thinks his photons were moving away from him because time was moving backwards for him while he was FTL (and vice versa for Steve, who will make the same contradictory observation of Joe's photons). Hence the causality violation: in some interpretations of SR, Steve actually arrives at his destination before he actually left: Stargazer wouldn't merely APPEAR to be in two places at once, it LITERALLY WOULD be. The alternate interpretation is that the violation is only apparent and a consequence of the fact that information cannot travel faster than light; since you really cannot obtain information at a distance that quickly, there's no opportunity for a causality violation, only the kind of illusory afterimages like we see in the Picard Maneuver.
What is your velocity in this frame? Now you fire your engines and accelerate forward at 3Gs for 30 seconds and then stop your engines. Still no other object in your reference frame and you are totally alone. What is your velocity in this frame? Then you go to warp 9. Still no other object in your reference frame and you are still totally alone. What is your velocity in this frame?
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It appears to be powered by some form of electricity... Last edited by Crazy Eddie; November 16 2012 at 05:38 PM. |
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#158 | ||||||||||
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Commodore
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Re: Federation Law of restricting cloaking device
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No, you have the misunderstanding. Where in relativity does it say an Object ACTUALLY traveling Faster Than Light will be slower than Light?
Special Relativity doesn't talk about Warp drive or Actual Faster-Than-Light travel. You're just making it up now.
Why? Because they are actually traveling Faster Than Light.
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#159 | |||||||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
It depends on the reference frame you're using. There's no "absolute" frame to determine who is really moving at what speed.
Significantly, plugging in a number greater than C in the bottom part of the equation would yield an imaginary number, and operating the equation with the imaginary number yields either near-infinite time-dilation (time stops) or inverse dilation (Delta-T is a negative value).
Velocity is a function of distance over time. If time is a negative value, what happens to velocity?
That's the fundamental thing you're not understanding about relativity: all velocities are RELATIVE.
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#160 | ||||||||||
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Commodore
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Re: Federation Law of restricting cloaking device
If we can still see the galaxy receding from us, even heavily redshifted, it is still only traveling Slower Than Light.
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#161 | |||||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
That's Einstein's Postulate, the fundamental assumption of special relativity. You need to get your head around that for anything else to make sense.
And I agree, like a lot of things in special relativity it seems very bizarre.
This is because, as you said, the speed of light is a constant in all frames, and that means that TIME is variable. At FTL velocities your clock implicitly moves backwards and therefore your photons appear to be moving away from you while in other frames (whose clocks are moving forwards) those photons are moving towards you. Velocity is a function of distance over time; that is, the distance to an object at T=0 plus the distance to that object at T=1, T=2, T=3, etc. it is not something you can measure against, say, the vacuum of space or the center of the galaxy and say "I am moving at X velocity." That would be a universal/all-encompassing reference frame, something that SR explicitly disavows. I know that's confusing, and I know you're struggling with it. One thing that might help is to think of the dichotomy between, say, moral relativism and absolutism (the moral relativist claims that acceptable moral/ethical standards vary from culture to culture and that each culture's opinion of what is acceptable are equally valid). Relativistic physics is essentially the mathematical paradigm of PHYSICAL relativism: there is no such thing as objective truth, and there is no ONE answer for any particular question about velocity of time. It depends entirely on who's asking.
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It appears to be powered by some form of electricity... Last edited by Crazy Eddie; November 20 2012 at 04:35 PM. |
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#162 |
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Commodore
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Re: Federation Law of restricting cloaking device
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#163 | |
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
Answer this question before you pat yourself on the back for your superior understanding: in any given reference frame, how do you determine the velocity of an objective that is moving away from you?
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It appears to be powered by some form of electricity... |
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#164 | |
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Commodore
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Re: Federation Law of restricting cloaking device
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#165 | ||
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Rear Admiral
Location: I'm in your ___, ___ing your ___
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Re: Federation Law of restricting cloaking device
2) This is the second time I have given you the benefit of the doubt and the second time I have become convinced that you are simply trolling in order to save face and no longer care what's being discussed anymore. I will be more careful in the future.
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It appears to be powered by some form of electricity... |
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