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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.17995433 |
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Table of Contents:
- <p>Z-G1 introduces a horizon-only toy model as the starting point of the gravity extension within the Gaasu Galaxy Spectrum (GGS). The vertical-line skeleton is preserved by fixing the generator form L_g = -(1/z0) I + i H_g, so Re(lambda) = -(1/z0) remains constant and all horizon/gravity effects enter only through the self-adjoint Hamiltonian H_g and through how the locking timescale T is interpreted (local vs observed time). The inner region is modelled as a finite cavity z in (0, z_H) with Dirichlet at z = 0 and a Robin boundary at z = z_H, psi'(z_H) = -kappa_H psi(z_H), with kappa_H real. This guarantees a real discrete spectrum while shifting the quantisation phase and local level spacings, which provides a minimal proxy for a “heartbeat” timescale via T_local approx 2<em>pi/DeltaE_n (hbar = 1). The F4 risk layer is interfaced without changing its form: T feeds into sigma_c^2(T) = 3</em>pi^2/T^3, which then determines P_lock(tau; T) and the local risk-rate proxy lambda(tau; T). This module is post-closure and modifies only inputs (through T and its observation map), not the F4/F5 closure machinery.</p> <p>Keywords: Gaasu Galaxy Spectrum (GGS); horizon toy model; Robin boundary; self-adjoint operator; spectral gaps; time dilation; probability closure; risk geometry.</p> <p>Scope note: Non-violent and non-coercive use only (dual-use restricted).</p>