Alas hardware of his era was not up to his vision. Machines of his era fetched their instructions from punched paper tape, cards, or even more exotic media. Machines such as these seldom had more than a few dozen words in their address space. (At that time an address was for a word of perhaps 36 bits, rather than for a byte.) Perhaps the tape came in a loop or perhaps an operator would be required to feed yet more punched cards to the machine. His vision proved largely valid a few years later.
The need and the technology for larger memories soon pushed the memory size to the point where it was feasible to keep the program in the memory itself. When Princeton committed to build an entirely electronic computer, John von Neumann filled in many details on how to store the instructions in memory, thus realizing Turing’s vision. The time was about 1951.
The stack had not been invented. Łukasiewicz had indeed already invented “Polish notation” but there seems to have been no cross fertilization. I knew them both then and saw no connection—damn.