- Dec 20, 2022
Let's make it then more clear for you then. The tripple pendulum is a model of 3 links with masses connected together rotating just around one axis.
Which fails to describe a Tonarm, headshell, cartridge system adequately for absolute precision, but offers a workable model for intuitive and inductive understanding of the system and allows intentional mitigation of the worst problems.
So it is both useful and valuable.
A non rigid tonearm-cartridge system in reality has to be modelled as an infinite number of masses able to be rotating and bending around all axes, something that obviously cannot be done with simple analytical models but is usually approximated with numerical discretisation approaches like FEM.
Yes and no.
The system can be simplified to account only for first and second order effects and doing so will deliver a model that is usable to affect major improvements on those effects.
Might this cause unpredictable changes to third and further order effects. Absolutely.
Does it matter? Usually not. Matthew 7:5
See above, of course the vibrational behaviour of the tonearm system can be measured with modern techniques like laser interferometry but those are neither simple nor give automatically a deeper understanding or model of the system, so above stories aren't good analogies and show the problem that @Frank Dernie correctly described.
I am a qualified engineer, programmer, child math prodigy (using slip sticks), child soldier, trained sniper and communication specialist and part qualified (but not chartered under UK law) Accountant.
Most of these have the concept, when I practiced, of materiality. In other words, there is a limit below which you don't bother, because going there adds nothing MATERIAL to the situation.
In my view, we have long crossed the materiality boundary if we want basic understanding and problem mitigation as well as practical considerations.
That does not mean I do not appreciate that there is a lot more there, but to a multidisciplinary generalist (or a normal user) much of that falls below the noise floor (materiality boundary).
As German I'm prone to over think and over engineering, despite my decades in the UK and China giving me sense of perspective.
If you outdo me, you may have crossed the materiality boundary.
Crossing that boundary, does not make your contribution worthless, far from it. But it confines to Ivory Tower envoirns, instead of sweat, blood, guts and solid metal where I weave my "magik".
Again, NOMA applies.