Theory-1:Deterministic Echo-Comb Signatures from Metastable Near-Horizon Shell Dynamics

We present a comprehensive theoretical framework, Kuram-1, describingdeterministic echo-comb signatures in gravitational-wave ringdown signalsoriginating from metastable near-horizon shell dynamics. The framework isconstructed from first principles, beginning with a ghost-free non-local actionthat generalizes Einstein gravity while preserving the massless spin-2 sector. Amaster equation is derived that extends the Israel junction conditions to incorporateN-mode information flux and holographic feedback terms, governing thedynamics of a thin-shell wormhole geometry. The shell is stabilized throughN-mode holographic tension, where the number of coherent vacuum modes Nis identified with the Hubble horizon area in Planck units, naturally addressingthe cosmological constant problem. Non-linear shell dynamics, includinggravitational-wave backreaction, lead to parametric driving and Floquet-typemodulation of the oscillation frequency. This produces a characteristic echowaveform with deterministic timing jitter, amplitude modulation, and quadraticphase drift, resulting in a symmetric sideband structure in the frequency domain.Floquet analysis reveals stability bands that naturally explain event-to-eventecho visibility without fine-tuning. Detectability prospects are analyzed forcurrent and future gravitational-wave detectors, identifying an optimal massrange for Einstein Telescope. A phenomenological connection to cosmology isestablished through coarse-graining, yielding oscillatory features in the darkenergy equation of state w(z) with the same characteristic frequency. Eightfalsification criteria are formulated, providing sharp observational tests. Aminimal data-analysis pipeline is presented for detecting the predicted echocombsignatures through phase-coherent stacking and correlation searches. Theframework is distinguished from conventional ECO models by its unique combinationof deterministic jitter, sideband structure, long-range phase correlations,and cosmological link. This work establishes the first observational sector ofthe broader N-mod wormhole program, offering concrete, testable predictionsfor near-horizon quantum structure.