Here's my experinces on the subject. I'm no scientist, but it doesn't take one to experience what works.
1-Gatorade dry mix will help slow down the freezing effect, makes more of a slush, could be due to the sugars.
2-An insulated water bottle parka by OR will keep water from freezing in your pack for pretty much all day. If on your hip or outside your pack it will eventually freeze.
3-Insulated socks will only work if buried deep in your pack. The reason insulated socks keep your feet warm is you are also producing heat. Water does not produce heat.
4-Placing your water bottle upside down in anything or anywhere is a great way to not freeze-THE TOP OPENING-of your water bottle. Air helps water freeze, if the air is at the bottom of the water bottle it will freeze first and the top opening should stay clear of thick ice.
5-A fuller water bottle freezes slower
6-Hot water will freeze slower if in an insulated area, if not it does tend to cool quicker because of the warmer temps.
7-Place any extra water bottle either wraped up in something in your pack, closer to your back or on top. Never on the outside walls where cold temperature are. Placing the water bottle closer to the top allows the water bottle to move around more keeping the water moving. The same effect as current in a stream, it freezes last.
8-80 proof single malt won't freeze.