Quantum many-body scars in bipartite Rydberg arrays originating from hidden projector embedding

We study the nature of ergodicity-breaking "quantum many-body scar" states that appear in PXP model describing constrained Rabi oscillations. For a {wide class bipartite lattices} Rydberg atoms, we reveal nearly energy-equidistant tower these arises from Hamiltonian's close proximity to generalized projector-embedding form, structure common many models hosting quantum scars. construct non-Hermitian, but strictly local extension exact scars, and show how various Hermitian scar-stabilizing extensions literature can be naturally understood within this framework. The scar are obtained analytically as large spin explicitly constructed pseudospins. quasi-periodic motion ensuing N\'eel state is finally shown projection onto Rydberg-constrained subspace precession pseudospin.