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.
I am saying it might not be a 30 degree perception. You are focused on degrees obtained by a line through the object ball and the pocket and a line though the ghost ball center. If you have a 30 degree cut and you move the balls to some other position on the table where the cut is 30 degrees then the cut remains 30 degrees. What then is the overriding variable? The human being who is looking at the shot and who doesn't have a protractor and a yardstick and a ghost ball template to place on the table before he shoot. That player is evaluating the shot and deciding between at most two aiming visual perceptions. So that player instead of worrying about whether or not the cut angle is 30 degrees or 33.2 degrees, instead of of trying to imagine a fully formed sphere with enough clarity to also see the spot on the table where that sphere sits, instead cycles through several perceptual prescriptions to determine which one is the correct one for the shot. Very often the same perception will work despite the balls having been moved to a different location. The player is ALSO in a different location at that point around a stationary unmalleable playing field.
In your hypothethical enlarging the table by another table width where one has a 30 degree shot WOULD NOT result in the object ball tracking to the far left pocket, the shot line would absolutely be different. You can draw this out in a few seconds. Now IF that shot were on the exact same line such as a 30 degree shot to the side then yes the SAME visuals would likely be used for that shot as well. But maybe not. Those eyes and brains are funny things when taking in all of that objective information.
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.
Oh I am sure. And I am I supposed to just believe your amusing anecdote about a climate scientist with something to hide??? Gosh, peer review is not done (only) by those friendly to the author????? Well I am shocked, absolutely shocked, gosh I never knew how the peer review process works. Thank you so so much for clearing that up. I bet you're on the denial side of that issue as well aren't you?
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.
Of course Team B. Which is why I don't rely on chemical engineers to teach me how to play pool. I rely on people who show me that they play better than I do which indicates that they know more than me or know how to do what we both know better than me. Like Bruce Lee I try to absorb all styles and keep what works. Obviously success in pool is not dependent on CTE. Neither is CTE a hindrance to excellent pool.
Continued.....