Harrison,
Great essay, spot on topic and nicely argued. I also conclude the same as you, but I've identified a very specific mechanistic and largely deterministic sequence producing the irreversibly and divergence, or "dissipation" in your terms. I'm interested if you think it compatible;
It's a shame you missed last years contest as I derived this in detail there, but I touch on it this year and can outline it here. We simplify 'measurement' as exchange of momentum between signal and detector polariser field electrons - so vector addition. HOWEVER, this is new!;
Consider Mawxwell's TWO momenta; the orthogonal LINEAR and ROTATIONAL ('curl'), and think afresh about spherical rotation (OAM). Interacting radially at any point, what do we find?, imagine your finger touching the rotating sphere surface (an analogue for absorption) and answer these 4 questions;
Touch it at a pole;
1 Can you feel with certainty which way it rotates? (clockwise or anti..)
2 Can you feel whether it's moving left or right?
Now approach from above the equator;
3. Can you feel with certainty which way it rotates? (clockwise or anti..
4. Can you feel whether it's moving left or right?
What you should find is; Yes/No/No/Yes. (1/0, 0/1) OK? From geophysics we know the LINEAR case reduces from 1 to 0, from equator to pole by the Cosine of the Latitude; CosTheta. Now the 'curl' case reduces INVERSELY of course!
Now lets take 1,000 interactions. Most vector output, for BOTH cases, is reasonably certain. However the odd one or two will hit PRECISELY at the pole or equator! So asked questions 2 or 3 the vector output will likely be 50:50, so maximum uncertainty, & divergence ('dissipation').
That actually produces what the spin statistics theorem and Dirac equation do (only) mathematically!
There's more to it of course (derived last year), and more implications, identified THIS year, including the need to change foundational assumptions!
But back to your essay, very well done. Agreement of content isn't a scoring criteria of course, but for me it does excellently on the valid matters so I'll be scoring it very high.
I wish you well in the contest.
Peter