Quantum Many-Body Scars as Temporal Phase Closure of the Existence Equation

Evidence Paper I of the Existence Equation series In 2017, a chain of 51 Rydberg atoms refused to thermalize. The atoms oscillated — returning to their initial configuration at regular intervals, violating the expectation that interacting quantum systems forget their origins. These persistent revivals were named quantum many-body scars. The theoretical response was to write a Hamiltonian — the PXP model — and analyze its spectrum. Scar states were identified as anomalous eigenstates embedded in a thermal bulk. The direction of logic was: Hamiltonian → spectrum → structure. This paper reverses that direction. The Existence Equation (ED) describes a deviation field Ψ = A eiΦ governed by three forces: smoothing…