Frame Dissolution and the Planck Ceiling

Papers I–III reconstructed gravitational geometry, quantum dynamics, and measurement structure from operational axioms, treating a finite certification bandwidth ω* as a foundational input. This paper derives ω* < ∞ from first principles and establishes its role as a measurable universal constant. Three structural theorems establish: (i) a unique strictly-positive minimum coherence loss σ_{t,min} > 0 for any extended frame (cube-root extremum from convexity); (ii) a finite operational ceiling ω* = 1/σ_{t,min} that no protocol can exceed; and (iii) a universal asymptotic envelope depending only on c, ℏ, G and the operational parameter R⁴/T. A universality theorem proves that sector-dependent variation in ω* would violate intersubjective stability, forcing a single ceiling across all physical channels. Four observable deformation channels are derived, all governed by the same ω*: 1. **Gravitational-wave dispersion** — ω^(+2) arrival-time delay, no free parameters, dispersion relation ω_k² = q²(1 + q²/ω*²) 2. **Acceleration-dependent proper-time slip** — coefficient κ_a = 1/2 from Euclidean budget split 3. **Entanglement visibility suppression** across gravitational gradients 4. **Born rule saturation** at large outcome complexity Because all four depend on the same ω*, their experimental bounds intersect in a consistency window. The current window is: 10^15 rad/s ≲ ω* ≲ 10^22 rad/s Next-generation experiments in gravitational-wave astronomy and satellite quantum optics can narrow this to two orders of magnitude; window closure falsifies the framework. **This paper is part of the Finite Accessibility series, which reconstructs gravitational geometry, quantum dynamics, gauge structure, cosmological perturbation theory, and the dark sector from a single operational primitive: a finite certification ceiling ω* governing the maximum rate at which physical relations can be maintained across extended domains.** **Introductory papers** - Geometric Limits to Coherent Timekeeping in Extended Reference Frames — https://doi.org/10.5281/zenodo.18824556 - Accessibility Selection Law (ASL) — https://doi.org/10.5281/zenodo.18824649 - Phase Boundary Gravity — https://doi.org/10.5281/zenodo.18824707 **Pillars (numbered I–IV)** - Paper I: Deriving Gravitational Geometry and Schrödinger Dynamics from Finite Accessibility — https://doi.org/10.5281/zenodo.18601600 - Paper II: Deriving Inertia, Motion, and Wave Propagation from Finite Accessibility — https://doi.org/10.5281/zenodo.18625174 - Paper III: Accessible State Spaces, Record Stability, and the Emergence of Quantum Statistics — https://doi.org/10.5281/zenodo.18625192 - Paper IV: Frame Dissolution, the Certification Ceiling, and Observable Deformations — https://doi.org/10.5281/zenodo.18654458 **Extension papers** - Dark Matter from Finite Accessibility — https://doi.org/10.5281/zenodo.18654433 - Dark Energy from Finite Accessibility — https://doi.org/10.5281/zenodo.18654523 - No-Go Theorems and the Admissibility Corridor — https://doi.org/10.5281/zenodo.18654493 - Gauge Structure from Finite Accessibility — https://doi.org/10.5281/zenodo.18928152 - Perturbation Theory from Finite Accessibility — https://doi.org/10.5281/zenodo.18928213 **Experimental paper** - Experimental Probes of Finite Accessibility: GW Dispersion and Vacuum Path Independence — https://doi.org/10.5281/zenodo.18931126 **Keywords:** frame dissolution, certification ceiling, omega star, observable deformations, gravitational wave dispersion, proper-time slip, entanglement visibility, Born rule saturation, universality theorem, coherence loss, intersubjective stability, consistency window, falsifiability, finite accessibility, operational constant, quantum gravity phenomenology