I have the apartment with the floor build from wooden lags on concrete slab. The concrete slab is hollow slab 220mm height that is both ceiling of the downstairs neighbours. Wooden lags are now disassembled.
The concrete slab has a slope up to 5-10cm. Also the surface of the slab is rugged: with holes and hills.
Now I need to build a new floor with wooden lags, plywood and parquet. The first layer is vibration mount (like a metal profile with height regulation possibility up to 2cm). The second layer is wooden beam, aligned with 50 cm step. The third and fourth layers are plywood.
I don't want to anchor vibration mounts (lags) and slab with dowels or metal anchors (don't want to drill slab). Can I anchor vibrations mounts with glue (that is called liquid nails) and wooden spacers? Or can I anchor and align by height with cement mix (or tile adhesive)? Finally, do I need to to anchor lags and slabs?
Common photo of the concrete slabs:
Example of the expected result: