New set of tests tonight using the multimeter as described previously.
First I unplugged everything from the wall, then used a outlet tester from Lowes and determined that the GF outlet is wired correctly and has a good ground on both outlets.
For shits and giggles I completely removed the Reef Radiance lights from the tank area and also got rid of the APC battery backup. They are in other rooms so they can't even have a field effect...
Next I started plugging components in one by one and watched the VAC climb with each one. Here is a list of the findings:
Aquarium Component_________________VAC_____Change (V)
Background (nothing plugged into wall)___5.3_______0
Powerstrip into wall___________________6.0______0.7
Reefkeeper Lite/PC4 into wall___________7.8______1.8
Both 1.1mL dosing pumps into PC4 (off)___7.3_____-0.5
Fuge Powerhead_____________________12.7______5.4
Skimmer Pump_______________________31.4_____18.7
Heater______________________________34.0_____2.6
Return Pump________________________38.8______4.8
Fuge LED light_______________________39.9______1.1
Display Tank Powerhead_______________40.8______0.9
Tunze ATO__________________________41.8______1.0
Next I plug in the Reef Radiance LED and VAC returns to 5.3.
It seems that each of my components is adding a small amount of stray voltage to my water. The most significant is the skimmer pump which accounts for 18.7 Volts (would you keep it or replact it?)
The Reef Radiance LED, for whatever reason, appears to be acting as a capacitor to buffer and store the 36.5 VAC caused by all the other components combined. Does this make sense?
The ground does not have anything to do with the operation of the GFCI, there does not need to be an equipment ground for the GFCI to work properly.
I would pull the skimmer pump, and find someone with a megohm meter, and have the cord checked for a high resistance short, and/or replace the cord.
Zero your meter at the background voltage. (5.3VAC) that is the salt water. Salt water behaves as an electrolyte.
No the led thing does not make sense. Without a direct path to ground, the induced voltage in the tank will not drop to zero, or 1.4VAC, or the "background" voltage of 5.3VAC, but the 5.3VAC would drop to zero also. I don't have hands on the fixture, so anything I say would just be a shot in the dark.
I would take the fixture to a "non-hobby" or "real" electronics technician and have him go through the fixture. Hobby fixtures are not required to meet any type of standard at all, and quite frankly I find them to be a huge disappointment quality wise. Same for the rest of your system. Have an electrician go through it. None of us here have hands on the system. What I would find, may
not be what you are finding/seeing.
But the APC is not for running an aquarium, it is for running computers. Huge difference, till you get up in the $1000 + range. Better is to get an auto start gas/propane generator, that will run your fridge as well.
I know where most of the voltage is coming from, it is induced by the inductive loads (motors, any HID lighting,) and is harmless without a path to ground. Below 40VAC does not have the umpf anyway. The heater is purely a resistive load, and should not impress a voltage on the water, but electricity is "magic" so strange things can happen. Voltage can be impressed on the tank by fluorescent lamps in the next room. Other possibilities are harmonics (dirty power) from "lousy" house wiring, bundling wires/cords together, and other such ethereal anomalies.