Yes, spritus, what I meant but didn’t clearly say(as usual) was that the distribution of individual digits of pi do not conform to a statistical pattern. But each digits is completely determinable. Thanks for the clarification.
As far as your other point goes, you’re right again. What does quantum physics predict? AFAIK:
- The existence of certain particles.
- How those particles will interact statistically with other particles through
- what forces govern those particles
- which are (the forces) particles in themselves (which brings us back to one).
Quantum physics is remarkable at those feats, and no one has successfully devised an experiment to the contrary.
HOWEVER, as a model for how the universe works it carries a lot of metaphysical baggage. We may ignore that baggage by claiming that it is not an accurate representaion of reality, merely a mathematical “trick”. While some take comfort in that, it is widely accepted that it is an accurate representaion of reality and any further model needs to include quantum physics in it.
So then we have the metaphysical baggage. Why is such-and-such a result more statistically likely? Why is it probabilistic in the first place? Why does a particle interact with itself through waveform fluctuations (“ghost” particle interference) when, if we try and find out what its doing to interfere with itself, we only find a single particle and not all the ghost particles? Most importantly, if we can verify these “ghost” particles through their effect on the particle’s waveform, what happens to them when we collapse that waveform?
The last is the most important question. Being a fan of the so-called Everett or Multi-Universe Interpretation, I feel that each ghost particle follows its own path in seperate universes. Anything that happened definitely happened in the way we “saw” it happen, and that event sets the stage for subsequent events.
IMO, anyway. Most don’t like the multi-universe theory. Then again, some people call them wavicles just to really drive the point home. Then again, some people like rocky road ice cream.
It is just metaphysical baggage for now, and possibly forever.
Oh, and one more thing…
Interactions appear to be random. The things QM predicts about those particles themselves (their spin, charge, rest mass, etc) are quite defined and really accurate.
So to me it feels like the situation with pi… any particular particle is as determined as each subsequent digit of pi’s expansion; it is what is going to happen next that trips us up. And then, in the long haul we find pi converges to a value, and in the long haul we find that particle interaction converges to our macro interpretation of it.
Where’s giraffe when we need him? He knows this quantum stuff damn good, even if we disagree on the implications of it.