Changing Tap Water to Rain Water - Really?

Let's test it out!  Every gardner knows that rainwater just seems to give plants a wonderful lift.  Water from the hose just is not the same.  Why?  Here is the theory - When it rains,some of the water (H2O) picks up an atom from ozone (O3) and it becomes Hydrogen Peroxide (H2O2).  Now this is not a very stable combination, so when it gets to the ground, it gives up the extra oxygen atom and turns back into regular water.  The plant gets to use the oxygen, and loves it!  That is kind of abbreviated, but you get the idea.  So, we who garden can mimic this process by using a diluted solution of hygrogen peroxide on our plants.
My scientist and handsome prince, and I are experimenting.  We created identical groups of plants, and are watering one with regular water, and the other with the H2O2 mixture.  Of course, nothing is simple here.  If we are doing it, we must go all the way.  So, we are doing this with several species of tomatoes, cabbage, broccoli, several herbs, petunias, and some other stuff.  LOL  I have pictures, but since this only started yesterday, there is no visible difference in either of the test plots, so I will report back in a week, and let you know what, if anything is happening.  Now you know why boredom is just not in my vocabulary.  

Oh, and by the way, this stuff is supposed to keep mosquitoes down in the yard, kill bad bugs, and a bunch of other stuff.  Isn't it amazing how the world works.  :-)