I just have a basic understanding of Bitcoin type currencies but my understanding is this:
Bitcoins are “mined” by doing some serious computational task - which I gather involves determining practically uncrackable large-prime based codes. Currently mining a coin could cost more in electricity than the bitcoin is worth (but of course, both electricity and bitcoin prices vary…)
From this, I gather bitcoins are in fact effectively serial-numbered. it has unique ID which makes it impossible to duplicate. You can track their progress. If you couldn’t, it wouldn’t be bitcoin.
A transaction transfers a bitcoin from one “wallet” to another. What this transaction entails I’m not sure, but basically it seems to record that coin X (or a portion thereof) is now in the possession of whoever has the password/code for that wallet. Transactions require the sending wallet and receiving wallet to agree, so it’s (virtually) impossible to do a transaction unless the sender gives their private code.
As I understand it, the “blockchain” is essentially the transaction list for a bitcoin, or many, or parts. The key is that a blockchain is distributed so that nobody can take and single-handedly alter it. You make a transaction, give someone a bitcoin, and the whole collective of the blockchain all over the world is updated. (Which is why it was mentioned upthread a transaction can take a while).
The ledgers record the IP address and wallet ID for the transaction. IP addresses can be VPN’d or temporary, and if afterwards the perp takes their wallet offline (think of it like a web server -but only needs to be online when you want to transact bitcoin with it) So the IP is a clue whodunnit but not definitive.
A bitcoin therefore is like a gold bar or a Van Gogh - you can pass it on to someone who in turn will give you something you want. It’s not trivial to make more - it takes luck and significant work to mine gold, or scour Arles for undiscovered paintings. These are what makes bitcoin valuable - because others will exchange it for value and it takes work to make it. Like any commodity, its price depends on what others will pay.
The appeal of bitcoin is that it could be strictly computer data, so o big gold bars to lug around, no alarm system and monitored environment to prevent moths eating your Van Gogh. it can cross international boundaries undetected, and is effectively untraceable with appropriate precautions.
I presume the governments of the world can do anything from making possession of bitcoin illegal to requiring that bitcoin possession be declared to taxing the sale of bitcoin (either transaction tax or capital gains if it goes up). Declaring income is something governments require for everything else when an item is sold for a profit.
What I have seen online as speculation is that the hackers, not being too stupid, would pass the bitcoin through a bunch of cooperative groups who could take a cut for passing it on with their own means of hiding their identities - essentially virtual money laundering. The theory would be - when did the bitcoin get exchanged to someone outside the group? If I trade a bitcoin with Bob, unless the FBI can get to Bob and determine what bitcoin he gave me in return, I have a bitcoin that nobody knows is ill-gotten.
I suppose another tactic the FBI could use is that bitcoin used in an illegal transaction is liable to seizure, even if acquired legitimately. I.e. if the police come to me and say the $100 Porsche I’m driving is stolen property, they take it and that $100 is my problem. (Although there’s a presumption if the price is too low, the buyer had to know it was stolen). Of course making any bitcoin liable to seizure if it was ever involved in an illegal act would I assume seriously degrade the market for bitcoin. I imagine the FBI’s concern over this could be measured in microgiveashits.
