CCS,
tzimtzum isn't the idea of raising sparks. Tzimtzum is the concept of God's contraction, in order to create a space for the universe. It is the beginning of the answer to the question, "If God is infinite, how can we exist?"
I think I understand what you're getting at though and yes, there is a Jewish concept like that, although even though the Hebrew word is malchut which translates as kingship the concept conveyed has more to do with the other name shechinah, the Divine feminine, the indwelling presence, which is related to mishkan which is the tabernacle, God's dwelling place.
I'm not sure whether or not it matter if there are more involved at a particular time or not, except when proscribed, but there is a great amount of, I forget the word. Basically, if you do something the way it's supposed to be done, and you do it with the right kavannah, the right intention, then you're able to have a positive effect that reverberates through the upper worlds. And for each individual there are certain sparks that are meant for that person to raise. For example, if I'm buying into this system, I couldn't put on tefillin each day for somebody else. THey're the only ones who can accomplish that. In that sense it is a group thing because no individual can do it alone.
The concept of tikkun olam, repairing or healing the world, gets a little confused because Reform reclaimed it outside of its kabbalistic framework, as something referring purely to social action. And there are thus people who use the term who have no idea what it originally meant. This is a definition of binyan hamalkhut, which I think is what you may be thinking of, from kabbalahonline.org:
the ten sefirot exist not only as individual manifestations of divine attributes, but are also arranged in various distinct configurations, called partzufim ("visages" or "profiles" -- singular: partzuf), each with ten sefirot of their own. The sefirot are able to interact with each other only as partzufim. Chochma (the partzuf called Abba) and bina (the partzuf called Imma) are emanated from the outset as partzufim, whereas Zeir Anpin (Z'A) is emanated in its initial form only as comprising the six sefirot from chesed to yesod. It receives its mochin (chochma and bina) only at a later stage, as an addition. Similarly, malchut is emanated from the outset as a single point only, called keter malchut, and it too receives the other nine sefirot only at a later stage. This development of malchut into a full-blown partzuf is called binyan hamalchut, and it is dependent upon the arousal from below (itaruta d'letata) initiated by the Jewish people in this world. The itaruta d'letata reaches to the very root of malchut in keter (Sefer HaLikutim s.v. malchut, p. 572-4).
Dictionary of Terms
InLove,
That's tzimtzum, which is a separate topic from negative theology that I mention earlier in this post. Negative theology is what comes from Maimonides, who said that we cannot say what God is, but only what God is not, and even when we are saying God is something, we are really saying He is not the opposite. For example when we say God is love we odn't really mean God is love, but rather that God is not hate, because if God truly were love, that would be limiting Him to a thing. That is the specific approach that negative theology refers to.
Tzedakah is the feminine form of the word tzedek, which means justice or righteousness, and refers to charity. Thus in Hebrew, charity is not something from the heart, but instead a form of justice, righting a wrong.
Dauer