Uncaught SecurityError: Failed to execute ‘replaceState’ on ‘History’: cannot be created in a document with origin ‘null’

Add this:

<script>
    $(document).bind('mobileinit',function(){
        $.mobile.changePage.defaults.changeHash = false;
        $.mobile.hashListeningEnabled = false;
        $.mobile.pushStateEnabled = false;
    });
</script> 

Just before jquery.mobile-1.4.5.min.js

That works with Android WebViewClient and Chrome on Windows.