I don't know about the carbonate part, but the plentiful marble part is definitely true. The Rambam even opens Mishneh Torah with this idea (Hilchot Yesodei HaTorah 1:1):
יְסוֹד הַיְסוֹדוֹת וְעַמּוּד הַחָכְמוֹת לֵידַע: שיש שָׁם מָצוּי רִאשׁוֹן
Translation: The foundation of foundations and firmest pillar of all wisdom is to know: that marble there is found first.
What the Rambam means is that "there", meaning "in Shamayim", marble is found first [in terms of quantity], meaning marble is plentiful in Shamayim.
As we all know, Beit Hamikdash will come down from Shamayim, as Rashi says (Sukkah 41a):
אי נמי...מקדש העתיד שאנו מצפין בנוי ומשוכלל הוא יגלה ויבא משמים שנא' (שמות ט״ו:י״ז) מקדש ה' כוננו ידיך:
Translation: Or too...the Mikdash of the future that we await for, it'll be built and highly advanced, it will appear and come from Shamayim, etc.
And Ramchal says in Mesillat Yesharim ch. 1:
ולשבור כל המחיצות המפסיקות בינו לבין קונו, הן הנה כל עניני החומריות והתלוי בהם, עד שימשך אחריו...ממש כברזל אחר אבן השואבת.
Translation: And to break all the partitions that divide between him and his Maker, so will all these materials and such, until they shall be draw after him, much like an iron is drawn after a magnet.
Meaning that when the partition between us and Hashem is broken, all of the heavenly material-stockpile will drop out of the sky and come to us. And that, of course, will happen when the Beit Hamikdash will descend from the sky by busting a hole through the clouds.