Lets not forget the use of steam turbines. The concept of the gas turbine engine for aircraft relied on the ability to produce turbine, and in some cases, compressor blade, materials, that could withstand high temperatures, along with circumferential and axial loads, while remaining lightweight enough. The processes of metallurgy to meet these demands had not yet been developed, mainly because the need hadn't arisen. Then there's the issue of control mechanisms. Internal combustion engines used rudimentarily simple fuel-air mixing principles. Gas turbine engines require a fine tuned ability to automatically adjust to variations in air temperature, density, and speed, throughout the continuous intake, compression, ignition, and exhaust sequence. At the time, the ability to test theories didn't exist, so engineers and scientists had to rely on what they currently knew, or technology currently available. Like the incredible rise in aircraft design and construction abilities experienced during WWI, WWII similarly drove the need.