OWhere's the question.....does CTE work without requiring a person?
Does double the distance work without requiring person?
Does fractional work without requiring a person?
When a system requires the input of a person to work, that persons input influences the working of the system. The system would not work without a person.
In order to see if these work without a person is problem, since how the system works depends on how well the user does inputs.
Since there is a wide range of users and users inputs, a testing device must eliminate the user in order to fully understand the workings of a system.
Ghost ball is the only system not influenced by the user. A machine can be built to show where the ghost ball position is and also then roll the CB to the Ghost ball position.
The only time a user influences ghost ball is in execution, just like other systems, but ghost ball can be tested standalone, ie without a user doing the executing but the others can not. The bases for the ghost ball machine is using ghost ball contact patch, which is also how software pool games are based on.
Build a machine that is capable of doing the double the distance aiming or even CTE. First, the system has to be able to be put on paper in order to build any machine. Ghost ball contact patch meets this requirement. Does CTE? Double the distance has been as have fractional, but since these are vision based, building a machine to see these visual is impossible.
Since I'm on it......spheres do not have edges......this is a accepted convention in geometry yet there are so many that claim to be technical experts in pool that still refer to edges on something where edges do not exits and those same people claim to use 1/2 ball hits when it is impossible to do so.
In other words, they are half assed techincal experts.
You are using a spot on the surface of a sphere and not a spot on a edge of a sphere.
Oh......I was a QA test engineer for many years testing hardware, firmware, software for a wide range of systems and products.
In every case........there was paperwork, design documents, operational requirement to be made, goals of the system and so on. Every idea that came along was put on paper to aid in design and devolpment.
Test cases were built in order that anyone can do the testing in order that a persons input did not influence the test results. In other words, test cases eliminated the user influence in test results.
CTE can not work without a user, therefore any output from the system is subjective based on the users inputs.
Take the double the distance drawing done in 2d. Does the double the distance lines on the object ball curve like the surface to the ball in real life? Can double the distance as describe work when put on paper like ghost ball contact patch? Meaning from a overhead view, will the double the distance prove that it puts the cb in the correct ghost ball position. Should be a easy drawing to do.
Even the the lines appear to use edges in the 2 d drawing, in real life they are really from a spot on the surface of the ball and not a edge since balls do not have edges.