Couple things I noticed while reading :
1. Dissipate stated in regards to creating gold and silver in a tokamak that creating large quantities of gold and silver would "..cost billions of dollars to make a handful of atoms..." According to your definition of dollars and money, it would, in fact, cost nothing more than a large amount of electricity and billions of tokens. The money supply would then be artificially increased by creating money where none existed before.
2. In the 1950's, a single wage earner could support a family of four. Today, a large proportion of the population has trouble with living expenses. The reason is not due to inflation. The reason for the difference is the standard of living increase over the last 50+ years. Basic necessities such as food have increased in price, but a single worker earning minimum wage should still easily afford to support the needs of a family of four. What has changed to make this difficult is the increase in living standards. We now have minimum building standards, health insurance, car insurance, homebuyer's insurance, health regulations in food, housing, schools, public areas, restaurants, etc. Workers are now expected to commute farther, longer, at their own expense. Companies are required to carry workers compensation, maintaing building codes, maintain work ethics, provide insurance for disasters, insurance for manufactured goods or provided services, etc, and these increased costs are passed on to the consumer.
In other words, the standard of living has increased tremendously over the past 50 years. The extra costs should be factored into comparisons.
3. Currency is based entirely on faith. Buyers and sellers must have faith in the currency's value in order to use it in a transaction. Anything can be used as money as long as the buyer and seller agree on its value. Greenbacks are convenient because they are widely recognized and accepted as a fixed value. When I say fixed value, I refer to the value of a $20 bill being 20 $1 bills no matter where you go. Of course, the exchange rate of greenbacks for, say, rice, varies by region. However, that same nuance exists with precious metals and has existed for centuries.
Old pennies from the 1800's can still be used in place of new pennies. It is understood that a penny is a penny no matter how old and a buyer and seller who don't care or know about old coins will use it as such. However, only a fool wouldn't recognize that collectors will exchange far more value for that 1800's penny than what they'll give for the new penny.
4. Money is really no different than any other good in an economy. Its value and denomination is determined either by common consensus or a central authority in the same manner as other goods. In some cases, there is no central authority, but there are major powers. Such is the case with the US economy.
If you get right down to it, the US government influences the economy not because the people follow its orders. The US gov't uses the Federal Reserve as a major economic power to influence the market. Ultimate authority is actually shared between the collective population, the US government, and foreign powers.
5. Fiat money is in use around the world only because it is simple. It is simple to understand and simple to control. Instead of using computers to obtain real-time exchange rates for precious metals, greenbacks provide a singular reference point for the value of a good or service. Greenbacks are difficult to counterfeit whereas computer systems are inherently insecure. Greenacks lose their value as their supply increases, but then so do precious metals. However, precious metals are currently limited to whatever exists on Earth whereas greenbacks can be manufactured using more common material. On the same vein, verifying the authenticity of precious metals is a bit more difficult than verifying greenbacks.
How can one test the above assertions? Simply destroy a large national economy, sit back, and watch. Hyperinflation completely wipes out any faith in the exchange value of little slips of paper with pretty pictures. At first, barter becomes the common method of exchange. As the local economy stabilizes, the people begin to use a common item as currency. It can be anything from pigs to corn to pretty stones. As more and more people adopt local currencies, more and more people begin to recognize other regions' currency values. Eventually, the nation adopts a single form of currency based on one or more local currencies. In some cases, the national government is able to scrape together enough power to dictate the course of economic recovery and possibly retain the old currency.
Cliff notes : Money has no inherent value. The only value in money is what is seen between the buyer and seller in a single transaction. Money only acts as a common conversion medium. It requires neither scarcity or high market value. It is usually difficult to counterfeit, as the faith in the value of the currency is inversely related to the easy in faking it. The effects of devaluation are relatively tame as long as the new values are universally recognized. The pile of greenbacks under the bed will lose purchasing power over time, but the smarter consumers will invest in a good which lasts a long time and either maintains or increases said purchasing power.
The US government is not the source of power for greenbacks. While the Federal Reserve is the birth place of every bill and coin in existence (plus or minus counterfeits), these bills and coins have no value except for what people place in them. If, for some reason, every single person decided not to accept greenbacks in exchange for goods and services, the US gov't could print as many as it wished and none would hold any value. In this respect, the Federal Reserve is no different than the old-fashioned private banks and state agencies it replaced.