>"Bitcoin technologies solved some very important problems in the creation of currencies: double spending, decentralization, cost distribution, &c. These are not problems that need to be solved in securities trading. One company running on one platform doesn't have a double spendng problem. Decentralization is irrelevant. And cost is no issue."
You're thinking of the securities trading of today, which has its roots in the 16th Mercantile Revolution of Europe. Securities are still essentially pieces of paper: stock certificates. If you've started a company(assuming it was a C-Corp) you know this system is shit.
While this is the case, equity markets, for all that's been developed are like rocket ships tethered to the ground.
In the future you will be able to do business globally the way you can communicate globally today. That means not just transacting money, but assets as well. Bitcoin is a system of digital tokens, which can represent anything.
For this, you do need the trustless transactions that the blockchain enables. Would you trust a Russian stock market? Russia has very different ethical standards and very different laws. What if you are declared a persona non grata and your assets are to be confiscated? What if Russia and the United States go to war? What about a Nigerian stock exchange? Would it be reliable? Your reluctance to engage in these markets means entrepreneurs there do not have access to capital.
Math and the laws of computation are the same everywhere. This allows for new types and a level of global commerce that will change the world the same way global communication did.
Bitcoin is way, way more than a currency. It allows assets to flow like email. And that is just the beginning.