The world used about 180,000TWh of energy in 2022[0]. That requires about 21TW of generation capacity. If we assume wind turbines have a capacity factor of about 30% due to the intermittency of wind, we would need about 69TW of nameplate capacity.
If each of these turbines is rated at 16MW, we would need about 4.3 million of them.
Is there enough space?
Let's assume turbines should be spaced 10 rotor diameters apart[2]. A turbine of this size (246m diameter) would need to have about 2.5 * 2.5=6.25km^2 of dedicated space. So we will need about 27 million square kilometers of open sea space.
Coincidentally, that's the same as the total area of continental shelf in the whole world.[3]
Continental shelf depth is up to 200m.[4]
The deepest wind turbines today are in depths of 59m.[5]
What should we conclude? As long as we figure out a way of building turbines in deeper water, or perhaps floating turbines, and a way of manufacturing the required materials (hopefully without recourse to fossil fuels), the project seems just about plausible. But it would be a truly planet-scale endeavour.
[0] https://ourworldindata.org/energy-production-consumption
[1] https://en.wikipedia.org/wiki/Capacity_factor#Wind_farm
[2] https://ideasmedioambientales.com/wind-turbine-spacing/
[3] https://en.wikipedia.org/wiki/Continental_shelf
[4] https://www.britannica.com/science/continental-shelf
[5] https://www.sse.com/news-and-views/2023/04/world-s-deepest-o...*