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If the first part of your post answers the question about the possible independence of a quantum; I would interpret it as saying that matter/energy must be present for quanta to have any meaning. A quantum has in common with (eg) an inch the fact that each is a measure of something. Would that be right?
That's all good stuff as I see it. Forgive me if I'm being extra dim, but I don't see an answer to the question: do you regard a quantum as something which has an independent existence, …
or is it just a measure of something?
I certainly can't do that, but I suspect it is possible to construct a line of reasoning that .establishes that something "unbounded/immeasurable" must be a reality. I think you agree with that. Would I be right?
A particular photon, say in the microwave energy range, might have a precise number of quanta
We would normally say that a single photon has a precise number of quanta: 1.
Each wave represents one of these quanta.
Quote from: Jeffrey Each wave represents one of these quanta. I'm OK with the rest of your post, but this seems to suggest that a photon may = more than one quantum.
The problem is with how you are interpreting ‘wave’.
I suspect it is possible to construct a line of reasoning that .establishes that something "unbounded/immeasurable" must be a reality. I think you agree with that. Would I be right?
‘Infinity’ remains a mental abstract concept with no physical counterpart.
Quote from: Bogie SmilesA particular photon, say in the microwave energy range, might have a precise number of quanta We would normally say that a single photon has a precise number of quanta: 1.The quantum of energy measured for that photon is dependent on the relative motion of source and observer.
I’ve been pulling together some more of the content of this thread, there’s some really interesting stuff here. My next task will be to try to integrate the relevant bits into my own, pre-existing, notes.Therein lies a range of questions:1. The whole thing could come to about 8,000 words. Given that the number of people reading a post is inversely proportional to its length; would anyone read it? Is it worth posting? 2. Where to post? I thought new theories, but Bohm, Barbour and probably others were there way ahead of me. So, not new, and probably not a theory in the strict sense. So, where?3. How would I post it? “Bite-sized” chunks might seem best, but I think the whole will be such that splitting it up would lead to repetition and increased thread drift.Anyway, it still needs some work, so in the meantime; suggestions welcome. Be brutal!
Save it as a pdf file and attach it.