More complex structures can be decomposed though and any information that is dependent upon human usable structures can be effectively hidden (destroyed) by being practically impossible (pragmatically) to reconstruct.
This is part of a personal issue as I was into this in high school (late 1980s). I did a 10 page report on black holes – and it was JUST prior to Hawking’s “A Brief History of Time” came out.
So, nothing in my paper mentioned Hawking. He just wasn’t significant enough for encyclopedias, books, etc at my library.
With an interest in black holes was naturally an interest in subatomic things.
“Information cannot be created or destroyed” was a concept I loved – that somehow, some way, knowledge will survive and can be reconstructed.
That means no thought is ever really gone, no word is wasted, no action without effect. In some way, it transfers and is preserved in some fashion. A ticket to a scientific immortality!
Yet, I watched information structures hide, disappear, become difficult to retrieve.
The more complex the structure, the easier it is to deconstruct and its information scattered, reconstituted, put into new combinations.
Nothing was destroyed yet it also was.
Classic hard drive wipe pattern – XXX OOO XXX in three passes renders a hard drive functionally renewed to original scattered state. What operating system can retrieve prior configurations? None we have.
So, 16 yr old me has had his share of disappointments at lost data and still does to this day at 46 yrs old. I watch information disappear off the internet and out of libraries, facts being shifted to fictions but still appearing as fact….
…it’s tangled Christmas lights or earbud cords in a pocket: and Knot Theory has barely begun to be able to adequately detangle them as well as a frustrated but patient consumer who doesn’t want a topologically equivalent earbud cord structure that won’t reach from phone to ears and is instead a knotted mess.
So, I’m glad that Hawking finally conceded and information is back to being impossible to destroy.
But man, obfuscation is REALLY powerful just the same.
It’s still dissatisfying. Quantum mechanically, we STILL have yet to master anything beyond 2 bodies. Yet, I don’t want to have to continue with classical nor resort to statistical approximations (fuzzy balls) as it’s inaccurate.
So, there’s really a tremendously LONG way to go yet. Our approximations continually improve though, and AI has been a tremendous asset in modeling many body systems quickly as an alternative to detailed position/velocity/etc analysis.
But in those uses, information is made fuzzy – ie – effectively destroyed.
It’s the purist in me. Flipping through your video for slides and listening to get a sense of the topics, this is the correct direction at present as these are all ENGINEERable solutions.
Solutions that lead to new technology through industry and commercialization _are_ achievable and it is this kind of thing that keeps my hope going.
This for example, being able to measure the decreasing accuracy of many body systems the longer you observe, is huge for if THAT can be buttoned up better, then MORE information will be retained and pragmatically retainable. Longer lasting batteries, longer term storage of complex data in smaller spaces… and it’s this kind of thing that excites me for our near future and in what we can achieve.
For now, I have to continue to take “Information is neither created nor destroyed,” as an article of faith and hope. It is part of my religion yet unlike most religions, this one DOES have the potential to manifest its miracles repeatedly.