I don't know why you think your process should be able to access 4GB. According to Memory Limits for Windows Releases at MSDN, on 64-bit Windows 7, a default 32-bit process gets 2GB.* Which is exactly where it's running out.
So, is there a way around this?
Well, you could make a custom build of 32-bit Python that uses the IMAGE_FILE_LARGE_ADDRESS_AWARE
flag, and rebuild numpy
and all of your other extension modules. I can't promise that all of the relevant code really is safe to run with the large-address-aware flag; there's a good chance it is, but unless someone's already done it and tested it, "a good chance" is the best anyone is likely to know.
Or, more obviously, just use 64-bit Python instead.
The amount of physical RAM is completely irrelevant. You seem to think that you have
an "8GB limit" with 8GB of RAM, but that's not how it works. Your system takes all of your RAM plus whatever swap space it needs and divides it up between apps; an app may be able to get 20GB of virtual memory without getting a memory error even on an 8GB machine. And meanwhile, a 32-bit app has no way of accessing more than 4GB, and the OS will use up some of that address space (half of it by default, on Windows), so you can only get 2GB even on an 8GB machine that's not running anything else. (Not that it's possible to ever be "not running anything else" on a modern OS, but you know what I mean.)
So, why does this work on your linux box?
Because your linux box is configured to give 32-bit processes 3.5GB of virtual address space, or 3.99GB, or… Well, I can't tell you the exact number, but every distro I've seen for many years has been configured for at least 3.25GB.
* Also note that you don't even really get that full 2GB for your data; your program. Most of what the OS and its drivers make accessible to your code sits in the other half, but some bits sit in your half, along with every DLL you load and any space they need, and various other things. It doesn't add up to too much, but it's not zero.