One has nothing to do with the other. You can use a ledger that's backed by units of gold, or a ledger that's backed by nothing and can be inflated on a whim. Sure you have to do audits to make sure a gold ledger isn't being inflated, but it can be done.
but from a practical standpoint, it's never been done.
just look at the largest supposed holder of gold; the Fed. totally opaque.
Fully agree. Though to be fair, my understanding is backing did work somewhat OK in the US in the 1800s when banking was very fragmented.
My understanding is back then banking in the US was very fragmented, especially compared to Europe. Banks were largely small and regional and many issued their own paper notes backed by gold. The US also did not have a central bank to bailout banks or downturns.
The result was no bank was so large that it's failure mattered to anyone except their depositors/investors, to big to fail was not a concept yet. This also meant that if banks levered themselves slightly (meaning more notes than backing assets), they were exposed to a deposit run. To protect against this banks mostly kept leverage well below 2x. Yes, there was the occasional run and bank failure, but it would happen on an individual bank basis, and was not system wide.
Depositors (i.e. the market) were responsible to ensure bank honesty and most banks remained honest out of self preservation interest. If a bank acted even slightly irresponsibly (or was rumored to), it wouldn't take long for a depositor queue to form to drain reserves.
The key was the system was decentralized and fragmented, and so could withstand individual failures. This system worked for a time, and it was the most rapid growth in US history and when the US surpassed England as the largest economy.
When I've read the reasons behind why those who created the FED did so, they wanted to strengthen the system against two things. 1) They wanted protect depositors against failures and 2) they wanted to enable the government to have the ability to fund itself through downturns (previously during a regular recessions, the US government would need to turn to the JP Morgan's of the country for funding, they wanted to stop this).
The problem is they didn't understand two things: 1) they eliminated market pressures from the system by making depositors not responsible for their loses and 2) they eliminated the decentralized nature of the system by structuring everything under one dominant entity (the FED).
Then in the 1920s two things then happened: 1) Leverage exploded in the banking system because banks lost their market pressure to be honest and 2) the FED issued many more dollars than they held in gold reserves. By the 1930s when this leverage process started to reverse, the FED found itself bankrupt with no ability to pay their obligations (they openly admitted this), additionally the FED had become a centralized To Big To Fail entity that everyone relied on. Since the FED was both bankrupt and To Big To Fail at the same time, the US fully defaulted and FDR banned gold ownership to keep everyone in the banking system.
What is heartbreaking to read in this history, is instead of learning from their mistakes and return to a decentralized and market based system that worked, FDR doubled down and created regulations in the place of market forces and banned individual ownership of money, and he was cheered for it. This is the moment America choose security over freedom and when the experiment failed IMHO.
The point to this long winded post is paper backed gold can (and did) work, it's just that it requires a decentralized system that can withstand individual failures and uses market forces to keep honesty. Sound familiar?