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Hi Valerio,
I've worked with various carbonates in Earth Sciences research for 40 years.
Marble is a metamorphosed ocean sediment composed of microfossils. It's very soft and not homogenious on a microscopic let alone atomic scale. You can polish marble to a shine but I'd be surprised if it can be made smooth enough to accurately reflect a wavefront. If you make marble thin to reduce weight, it's brittle and can easily crack. I suspect the surface will similarly be full of small pits. I can't say how thermally stable it is but as others have advised, pyrex or plate glass is the easiest material to use as an amateur optician.
What size blank are you looking for?
Joe
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