I can't answer your question but I'm intrigued as to how you came by the idea in the first place. Is it supposed to attract pollinators or something? Tomatoes are generally considered to be self-pollinating but you can supposedly help them along by shaking the flowers if you want to. As far as I can see your tomatoes look perfectly fine but I don't live in your area. Patience would certainly be my recommendation.

I would think that apple juice would just make the pollen sticky (and may attract pests). Where did you read/hear that idea?

From what I can tell in the closeup the plant looks fine, just leave it alone (don't water any more until it dries out, and I wouldn't fertilize now, though some people do at fruit set - there was a recent thread on that on Tomato forum).

Tums won't do anything for you. Either you have sufficient calcium or you don't (again, there's a BER thread going right now, some people use calcium nitrate if needed). The main thing in avoiding BER is consistent watering, but I know that's hard with the rain we've had lately. The good news is most of the time it's just a maturity thing and as the plant's vascular system matures it's better able to transport Ca to the fruit. I've got to say I've rarely had a problem with it, but then I don't grow in containers.

Spraying sugar water on any plant seems a REALLY bad idea. If you spray apple juice on the ground, it'll be covered in ants before long. Why would you want your tomatoes that way? They look pretty healthy, and they should take care of pollination all by themselves. Tomatoes don't need insects to pollinate.

If I read your post correctly, it's a last-year problem that you're trying to cure this year. But you've taken more trouble this year with your planting medium, and you say these are just the first flowers coming out. Patience!

Now, if it's getting very hot, tomatoes will shut down fruiting. Blooms will appear and just fall off. But I would think that Philadelphia shouldn't be that hot.

Thanks for all your comments,

I just took more photos this evening and saw some loose blosoms and took some photos. The first photo was just haning from a leaf and looked frayed so I opned it up and was currious and saw a little mator that didn't make it.

The seconed one was from the same plant and looked real healthy. It dropped when I tried to shake the plant a little bit.

you can see why I have concern (and jsut looking to see if there is a helpful solution to help deter this while it is still early) but I am aware of the maturity issue and the stress they did go through to get to this stage with the weather and such and patience is probably the best thing to have this early.

Thanks again all for your help.
- Mr Beno