i finished to install the Arch linuks with lvm on Luks and rebooted after configuring the GRUB.
i have edited this page and fixed the UUID number to the sda1
Edit: i boot with the archiso and when im trying re re-generate :
# grub-mkconfig -o /mnt/boot/grub/grub.cfg
i get lots of warning all the same:
warning: failed to connect to lvmetad. falling back to internal scaninng . /run/lvm/lvmetad.socket: connect failed no such file or directory.