Dissipative Quantum Gravity: Objective Wave Function Collapse and Resolution of the Measurement Problem

Dissipative Quantum Gravity (DQG) eliminates the measurement paradox entirely. No ad hoc collapse postulates or conscious observer dynamics are required. Instead, objective wave function collapse emerges as a strict dynamical phase transition. It locks exactly to the second-order Exceptional Points (EP₂) of non-Hermitian system-environment Hamiltonians. If a localized quantum system couples to a dissipative gravitational bath, it produces a sharp spectral threshold at g = δ. We identify this geometric boundary as the mathematical Heisenberg Cut. Below the threshold (g > δ), the quantum state resides within the unbroken PT-symmetric phase. Superpositions remain perfectly stable. The energy eigenvalues are strictly real. However, crossing into the PT-broken regime (g < δ) completely alters the algebraic structure. Differential dissipation forces the off-diagonal coherence elements to decay exponentially at the rigid collapse rate Γcollapse = 2√δ² - g². A single classical pointer outcome survives. We prove that state normalization under the Mostafazadeh biorthogonal metric η preserves the total probability norm (d/dt ψ(t)| η |ψ(t) = 0). Naimark dilation simultaneously guarantees global S-matrix unitarity. Objective state reduction thus emerges as an unavoidable algebraic consequence of non-Hermitian geometry rather than an independent axiom.