How to store data for a billion years
economist.com
economist.com
So, if you stored a GiB of data, that puts the lifetime of that data at ... 1 year? That honestly doesn't seem very good!
Then, even if you assign that nonsense statement some sort of charitable reading, like "one bit has a 50% chance of spontaneously changing state over a one billion year period", and infer that every bit has a 1/10^9 chance of flipping every year, then the odds that 8×10^9 bits do not change at all over the course of a year are (1-10^-9)^(8×10^9), or about 0.034%.
Granted, it'll still take a long time for that whole gigabyte of data to be completely scrambled, but I think we'll still be using error correction and occasional refresh, even with a technology this reliable.
Most media today are unreliable. I don't know what the numbers are for CDs, HD, or floppy disks, but the probability of spontaneous bit switching is supposedly higher.
So, storing the information is one thing - being able to read it is a completely different beast. If you would really want to store something for a few thousand years, you're probably better off chiseling it in stone. Then you only have to make sure people (or aliens?) can read our letters and understand our words.
You could even place some dummy data before the main store, with redundant storage in another format - if you read ("decode") the data and it matches (like you suggest) something carved in a block of stone surrounding it, you know you have the process down, and you can go on and decode the main store.
But that's not the whole of it. Once they can read the 0's and 1's, you need to tell them how to interpret them. So you need to provide (at least) an ASCII table in some extremely durable material.
The rest of the information (on how to interpret the data) can then be stored in the first mega/gigabytes of the binary data. Plain text ASCII only, ofcourse. No pictures, audio, or video. You could only include such data once you've told them how to build a computer and all necessary software.
I think you're better off storing a computer and a self-sufficient powersource in a vacuum, virtually indestructible structure. Has the added benefit that you can make cool movies about it :)
That's OK. At these data density scales, a small room full of 10"x10" tablets would provide space for a LOT.
I'd imagine you'd encode media in some simple lossless RLE format which you would then describe.
Imagine being an architect in the year 27,000 coming across this stuff. I'm sure the value would be immeasurable, especially the video and audio! Can you imagine having HD "documentaries" from Ancient Egypt or Greece? How cool would that be!
As you can see, this stuff fascinates me.
Easter Island isn't some big mystery, unless you don't read history books.
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Assuming sufficiently advanced technology, you could turn a seismically stable rocky planet into data storage by encoding data with valleys and mountains.
His solution?
Take everything ever written and convert in to binary. String it all together into a very very long string. Put a decimal point in front of this string. Then put a notch on the steel rod exactly that decimal's distance from the bottom.
I imagine they'd need some pretty precise measuring equipment on the other planet.
Also, unless he was using a very long rod, he'd have to mark somewhere in the middle of an atom.
I think that issues like this are part of why length is now defined in terms of wavelengths of light. And even then, the number of digits that we use in the definition is relatively small.
Today we could easily destroy ourselves with nuclear war. It may not be likely but it's more likely than in prehistory.
A nuclear war is not likely to kill everyone. Plus a nuclear war is not likely these days anyway.
The chance of a nuclear war today is far far lower than some disease in the middle ages, or a drought in pre-history.
Everyone focuses on nuclear weapons, but reality is they are very very unlikely to ever be used, plus illness is a much more severe danger. And the good thing about today is that we are much better prepared to handle a disease than at any other time in history.
And that's why we are less likely to destroy ourself now than at any other time.