The shot would be a different shot and thus a different CTE perception most likely, I happen to disagree with Stan on this. BUT, If CTE didn't work for that shot then it wouldn't make the claim that it only works on a 2x1 field invalid. The playing field you describe is 2x2 and the shot is from the far end of the rectangle on the y axis to the far end of the other rectangle on the x axis.
Let's be sure we're on the same page. You pocket the balls with a 30 degree perception and then set the balls back up in the exact same spot but now you've enlarged the left side of the table. You are saying this is no longer a 30 degree perception? Instead of enlarging to a 1x1 dimension, you could also wrap a 2x4 in cloth and set it on the table lengthwise to cut off the left 1 foot of cloth. So now you have a 2.6x1 table. It doesn't matter what you want to change the dimensions to for this example. Why do you say it is a different shot? The balls are in the same place, the pocket is in the same place, only the left side of the table has changed.
Stan has probably made over a hundred videos. It is inevitable that you can "find" things in that body of work to criticize. The question I have is why? Not because you think CTE is great in my opinion. You do this because you desperately want to discredit Stan and the CTE method.
One of my other interests having a background in chemical engineering is global warming. I've been following it since 1998 and it is a real cesspool of bad science. There is a "researcher" who published a controversial global warming paper and she refused to make her data and methods available to "skeptics." She said, "Why should I provide the data when all they're going to do is try and find something wrong with it?" Well, if you don't know already, that's kind of the point. Peer review is not done only by those friendly to the author.
Put it this way: John Barton has just been selected to be the first person sent to Mars. Which team does JB prefer to be a part of:
1. Team A is composed of one guy who did all the math and designed everything and says you're good to go. No need to check his work because he's an expert.
2 Team B is composed of the same guy who is now required to submit his work to specialists who will check his math and make recommendations as needed.
I think you want to be on Team B. If Stan's blanket statements cannot withstand a few guys on the internet asking probing questions then I don't know what to tell you. My motivation has nothing to do with what you say, but whatever it is is irrelevant. That's the nice thing about science. It doesn't matter where an idea comes from. It either stands up to scrutiny or it does not.
Regarding the thought experiments you mention, of course they are valuable tools in evaluating concepts. However we are fortunate enough to be able take things to the pool table which is why CTE users have taken on every diagrammed challenge proposed on here. We have told you and showed you why moving a shot pair to a parallel position is a different shot and creates a different perception and a comes with a different vector in relation to the pocket positions.
You have NOT shown that in any way. You simply say "it happens here." Surely you realize this.
Your assumption is that this this should not produce a different shot line to the object ball and thus could not result in the ball being pocketed without some kind of adjustment.
No, it is your assumption that it does produce a different shot line. My contribution is to say, "Prove it, please."
And yet, when the system is objectively applied, the fact is that the shooter does get on the shot line.
No, it is your assumption that the system is objectively applied. You have yet to prove that.
So, either ALL of the users doing physical actions and seeing real world results are wrong or your thought experiment premise is wrong. Or there is something that everyone is missing. Wouldn't be the first time that someone came up with something that works incredibly well bit for which they are not clear on the mechanism. But you don't KNOW that. And yet, despite not knowing, you persist in insisting you are right in the attempt to discredit.
EXACTLY. I don't know what is going on but neither do you and neither does Stan. That's what discussions like this, if kept on topic, might clarify.
My point of contention with you is simple, I think that the value that the system brings to the player is more important than knowing the exact mechanics of the system. Another way to put this is that the value of the ghost ball aiming method to the player is far more than knowing the mathematical formula that governs ghost ball.
See comments below.
I can do a thought experiment as well. As humans are not well suited to making precise measurements by eye one can predict that giving one of them a task to repeatedly imagine a fully formed sphere with a 2.25" diameter or 57.2mm if one uses the metric system is going to be very inconsistent. I am sure that you can design any number of actual experiments to test this hypothesis or you could just accept it as a given.
It isn't necessary to be able to do that in order to use ghost ball, if that is what you are getting at. All you need is a view of the cue shaft, the cb, ob and the pocket. The brain will tell you when the shot is on based on past success.
Let's do an IF THEN dialog to see if we can come to a mutual understanding;
If a person is using a method of aim for which they have tried all published techniques to use successfully and they have developed a form that is impeccable and their vision is 20/20 with no issues and they unsatisfactorily inconsistent with their aim then the next step is to look for another aiming method.
If they adopt another aiming method and they see clear improvement then that other method is by default of more value to that player.
If, when using the second method the player is able to use it successfully for every shot that is either to a pocket or a bank then the player has a well working tool at their disposal.
Can you refute any of these three statements?
It is a hypothetical and I see nothing to disagree with here, other than this being highly unlikely. If a guy has perfect mechanics but can't pocket balls for some reason and then tries something like CTE and pockets more balls then good for him.
Ok let's move on.
If a teacher of an established working method states an incorrect fact about how or why the method works does that invalidate the usefulness of the method? Should the player who adopted a working method abandon it because they were told an inaccurate fact about the mechanics of the method?
It could invalidate the method. For instance, I cannot make CTE work for every shot like you do. I believe that is because I am following the instructions to a tee and do not allow my subconscious to make adjustments. You make it sound like everybody who learns CTE ends up playing better. We may never know the reality of how many people learned through DVD's and youtube and never made it work.
You have to leave room for honest mistakes and or honest misconceptions or you risk throwing the baby out with the bathwater. At this point you are surely thinking go on and say that you are right. I am not saying that at all. I am saying that right or wrong what you have chosen to be nitpicky about has no bearing on the outcome which is that a CTE user gains more accuracy in aiming through a process that is objective for the user for every possible practical use that the system would be used for. For me personally I want the ability to get on the right shot line far more often and I don't really care how I get there. That's the real value here. What you are trying to do is diminish and dissuade.
You are using what I will call the Popeye Defense. Mother tells her kid to eat the spinach because it will make him big and strong like Popeye. The mother doesn't mind lying to her kid because spinach is good for him and she wants him to eat it. The means justifies the ends.
Here's a hypothetical for you:
I recently designed a new cue case called DW Cases. It's a good, solid case but the main benefit is that the precise shape of the internal components has an interesting effect on the pool cue. The shape actually bends earth's magnetic field in a way that causes the cue to be straight and that magnetic flux carries over to the player's arm when he holds the cue. We call it "Case Closed on Your Crooked Stroke - DW Cues." Marketing is so successful that JB Cases saw a 10% drop in sales the first Q and a 15% drop in the second Q. Now, should anybody care about the claims that DW Cues is making? After all, it really is a good case and 500 people swear that their stroke has gotten better since they started using the case. It isn't really even just a case anymore, it's a playing system and who really cares if there are some honest mistakes in their advertising? Cues are being protected and people are playing better. What's all the fuss about?
It is immaterial whether a "mistake" in advertising is honest or not. Those claims have consequences, as JB Cases found out in this hypothetical.
You seem to be trying to say that the claims that CTE makes don't matter if some people can play better with it. I thought this discussion was about getting to the bottom of the CTE claims, one of which deals with the shape of the table.