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I asked back in BlackBerry 10 Jam if BlackBerry 10 will support local streaming, just like a custom DataSource in BlackBerry Java OS.
But according to them there is no support yet on local streaming.
One of other options I thought of was to use the supported HTTP Live Streaming (HLS) but I will need an on-device HTTP server to replicate a local streaming (which the BlackBerry Java OS does not support).
So my question is, will the BlackBerry 10 have the capability to support a private, on-device HTTP server?
Assuming you don't expect that to be built-in, there's no reason it can't be supported.
As a quick test I just ran code that binds to port 1234 and listens for connections, then connected to that socket from another session using "localhost". No issues... did you need more than that to support what you're asking for?
(Note that you would not be able to bind to the low-valued ports, of course, probably those below 1024 or whatever the standard/convention is on Posix systems, for non-root processes.)