No, these 3 choices are unrelated to each other. I just wanted to see if you agree that the ability of the gov to pay Soc Sec in the coming years, when payments exceeds receipts, will depend on the size of the economy. Also that deficits need to be measured versus the size of the economy.
14 trillion dollar GDP, federal spending 12% of GDP, 1 trillion dollar deficit;
16 trillion dollar GDP, federal spending 10% of GDP, 1.6 trillion deficit;
I would prefer the latter example because the government controls a smaller percentage of a larger GDP. The deficit could become worrisome, but only if the growth of the economy was slower than the growth of the deficit. With a zero percent tax rate, I think we'd grow pretty fast.
With a zero percent tax rate, government bonds have no value, the dollar has no value, no government exists, capital flows elsewhere, and the economy becomes non-existent. Now you are taking "voodoo economics" to ridiculous extremes.
No, it would depend on the government's capacity to borrow which you (incorrectly) implicitly assume is based on the size of the economy (which you incorrectly assume will grow) REGARDLESS of whether the government gets to tax that economy.