John,
Do you know what logical, reasonable, rational, critical, non science bending thinking is?
Do you know that such can be used as a means of proof & resolution for ALL disputes between individuals?
Do you know what a fallacy is?
Do you know what is meant by fallacious thinking?
fal·la·cious
fəˈlāSHəs/Submit
adjective
based on a mistaken belief.
"fallacious arguments"
synonyms: erroneous, false, untrue, wrong, incorrect, flawed, inaccurate, mistaken, misinformed, misguided; More
Do you understand that your attempts by other means will never be satisfactory until you can attach a completely logical non science bending explanation.
Your nit picking of words & phrases like 'produce an angle' will not undo what is logical.
75 angles! How does CTE 'define', 'deliver', 'produce', 'account for' or 'INSPIRE' each one needed to play the game completely successfully by a strictly 'OBJECTIVE' means?
PJ, Myself, Satorie, Anthony, etc, are attempting get everyone to apply logic.
You & your side seem to be trying to get everyone to put aside logic & simply believe.
You & others seem to be saying, don't ask questions, don't be concerned when certain questions are not or can not be answered or when answers offered don't make any logical sense.
You & others seem to be saying put all logic aside & just believe. It works for so & so & so & so, so it will work for you too because it is 'an objective aiming system'.
Well... logical, reasonable, rational, non science bending, critically thought out, thinking says otherwise given the fact 75 distinct outcome angels are required to play the game completely successfully.
Can CTE help someone play better if they drop ghost ball & employ CTE? Quite possibly so.
Can CTE help someone play better if they drop what ever other method they may be using? Quite possibly so.
Is it 'an objective aiming system' that is not depending on subjectivity for arriving at the true line of many if not most all shots?
Each individual should make their own logical determination when they hear both sides of the disputed description & keep in mind the required facts regarding the 75 distinct angles.
Best Wishes to You & ALL.
There isn't any need to believe. The pool table sits there inert. The balls can be placed anywhere desired. The rails don't move, the pockets are stationary. The balls themselves don't move unless struck.
No one needs to take CTE on faith because everything needed to test it thoroughly is available to every pool player every where as long as they have access to a decent table and balls of equal size.
Again, angles don't matter. They don't. No aiming method refers to the angle of the shot and gives a formula to aim for it. Not a single one that I know of does this.
Why not?
Because no person can accurately say what the shot angle is consistently over any random ten shots. Can't do it, it's impossible. Oh some people can get closer than others but no person living can consistently do it shot after shot. So even speaking of angles, 25, 75, 180 whatever has zero bearing on the question of whether a system is objective or not. No one actively uses angles as part of their aiming process.
If they say they do then I want to hear about it and test them to see how accurately they can identify angles and then use that information to aim with. So honestly any such requirement that CTE "define" angles is merely a red herring in the discussion.
Even Ghost Ball makes no use of angles. Ghost Ball covers all angles but it doesn't define them. All you have to do is be able to accurately place a phantom ball at exactly the right size in exactly the right place shot after shot and then simply line up to replace it. Simple right? On paper it surely is.
So no, whereever you got this 75 angles thing from you can ship it back because no one thinks in angles when they play. Furthermore no angle has any bearing on any other angle. Once again each cue ball object ball relationship is a singular problem for which a solution (shot line) must be found and chosen.
Let me repeat that for the three people still reading, the shooter has to solve a single problem when facing each shot. He is not worried about the 75 degree angle shot when he is facing a 42 degree one. He needs a way to get to the shot line reliably for each shot he faces. In fact he doesn't even think in angles. The shooter thinks in terms of degrees of difficulty more than anything else.
And this is where CTE shines.
You asked
75 angles! How does CTE 'define', 'deliver', 'produce', 'account for' or 'INSPIRE' each one needed to play the game completely successfully by a strictly 'OBJECTIVE' means?
Easily. CTE has a single initial alignment, the center of the CB to the Edge of the OB. Two objective points that can be objectively connected visually. So the first step is to simply find the CTE Line clearly. The second step is to then find a second line which is the Edge of the Cueball lined up to one of the three defined aim points on the object ball, a-the first quarter division, b-the center of the CB or C-the third quarter division.
Once these two lines are firmly established, and it's pretty easy to do this the shooter then let's his eyes start out on one side and sweep over the ball with the cue stick moving with them until the cue stops at 1/2 tip away from center cue ball. The shooter then pivots into center ball and is on the shot line. The instructions are a little more detailed than that with inside and outside sweeps that thicken or thin the shot but those are also objective moves that don't change.
The shooter has zero need to be concerned with the actual cur angle as whatever it is CTE provides a solution for it since CTE starts at the cueball. And again all this bears out ON THE TABLE.
On the table is where all methods have to be worked out. This is how shooters determine the level of objectivity in a method and how reliable it is. CTE has proven itself to be 100% reliable.