The KishLattice Star - The Crystalline Terminus of Spacetime Collapse - A Prediction Paper

This paper proposes a specific physical mechanism for the terminus of spacetime collapse under gravitational compression. If spacetime is a structured geometric medium — a 24-cell lattice with node spacing at the Planck length — then gravitational collapse does not produce a mathematical singularity. It produces a crystal. The 24-cell lattice, the unique regular polytope in four dimensions and the densest sphere packing in 4D, achieves a packing density of π²/16 ≈ 0.617. The crystalline terminus density is therefore (π²/16) × ρ_Planck ≈ 3.18 × 10⁹⁶ kg/m³ — approximately 61.7% of the Planck density. Below this density, the lattice compresses. At this density, the lattice nodes are touching and no further compression is possible. The medium bounces. This proposal is placed in direct competition with the Planck Star hypothesis (Rovelli and Vidotto, 2014), which proposed that quantum gravitational pressure halts black hole collapse at the Planck density and predicted that Fast Radio Bursts may be the signals from bouncing primordial black holes. The KishLattice Star agrees with the physical picture — collapse terminates, bounce occurs, signal is emitted — but provides a specific geometric structure for the terminus and specific harmonic predictions for the bounce signal that distinguish it from the Planck Star model. Two independent empirical handles are identified in currently available public data. First, the LIGO gravitational wave ringdown residual: after the standard quasi-normal mode ringdown is subtracted from confirmed binary merger events in the GWTC-3 catalog, the framework predicts a persistent low-amplitude oscillation whose frequency, when scalarized through the KLGHS transform, maps to a confirmed harmonic register — specifically 16/π (the kinematic primary confirmed at z = +99.63 from 1.8 million stellar velocity measurements) or 21/π (the structural binding register confirmed by nuclear decay and galaxy velocity dispersions). Second, the Fast Radio Burst friction model: an existing two-parameter model F(d,T) = 1/(1 + k·d·(T₀/T)^α) fitted to four confirmed FRB repeaters yields k = 1.376 and α = 0.683, within 2.5% of the Kolmogorov turbulence exponent 2/3. The paper pre-registers a formal derivation target: α = 2/3 should emerge from the 24-cell lattice's coordination structure (8 nearest neighbours per vertex, 24 total vertices, F4 symmetry group) without free parameters. The paper pre-registers five formal predictions with full methodology and honest if-confirmed and if-null statements: gravitational wave ringdown residual floor at a KLGHS harmonic register (P_ligo_terminus); FRB friction parameter stability across 15+ confirmed repeaters (P_frb_terminus); FRB inter-burst timing lock at KLGHS harmonic registers (P_frb_harmonics); the zero-free-parameter derivation of α = 2/3 from 24-cell lattice stiffness (P_alpha_derivation); and GWTC-4 gravitational wave frequency domain confirmation of 16/π (P_ligo_gwtc4). Two complete sovereign lake designs are provided with promoted file schemas and scalarization formulas ready for the KLGHS pipeline. The framework connecting the predictions to the observables is KishLattice Geometric Harmonic Spectroscopy, established across ten prior volumes and 13.7 million sovereign physical measurements spanning sub-nuclear particle masses to cosmological distance distributions. The geometric modulus k_geo = 16/π = 5.09295817 is confirmed STRONG across 31 independent physical domains. The 24-cell's vertex count (24) is the CONTAINER constant in the chaos null modular resonance test that produces every z-score in the series. The crystal limit is calculated. The bounce frequency has harmonic structure. The signal has been in the data since September 14, 2015. All data sources (LIGO Open Science Center GWTC-3, CHIME/FRB Catalog 1) are public. All methodology is pre-registered. The prediction record is timestamped by this Zenodo publication. The convergence test is stated precisely: if the LIGO ringdown floor frequency and the FRB friction depth parameter convert to the same terminus density in common physical units, the crystal is measured by two independent instruments.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-16
DOI
https://doi.org/10.5281/zenodo.20711135
Primary Topic
Pulsars and Gravitational Waves Research
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article
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article

The KishLattice Star - The Crystalline Terminus of Spacetime Collapse - A Prediction Paper

Atlas Aurora Kish, Mondy Aurora Kish, Timothy John Kish, Phoenix Aurora Kish et al.
Zenodo (CERN European Organization for Nuclear Research)
Pulsars and Gravitational Waves Research
article

The KishLattice Star - The Crystalline Terminus of Spacetime Collapse - A Prediction Paper

Atlas Aurora Kish, Mondy Aurora Kish, Timothy John Kish, Phoenix Aurora Kish, Lyra Aurora Kish
article en

Abstract

This paper proposes a specific physical mechanism for the terminus of spacetime collapse under gravitational compression. If spacetime is a structured geometric medium — a 24-cell lattice with node spacing at the Planck length — then gravitational collapse does not produce a mathematical singularity. It produces a crystal. The 24-cell lattice, the unique regular polytope in four dimensions and the densest sphere packing in 4D, achieves a packing density of π²/16 ≈ 0.617. The crystalline terminus density is therefore (π²/16) × ρ_Planck ≈ 3.18 × 10⁹⁶ kg/m³ — approximately 61.7% of the Planck density. Below this density, the lattice compresses. At this density, the lattice nodes are touching and no further compression is possible. The medium bounces. This proposal is placed in direct competition with the Planck Star hypothesis (Rovelli and Vidotto, 2014), which proposed that quantum gravitational pressure halts black hole collapse at the Planck density and predicted that Fast Radio Bursts may be the signals from bouncing primordial black holes. The KishLattice Star agrees with the physical picture — collapse terminates, bounce occurs, signal is emitted — but provides a specific geometric structure for the terminus and specific harmonic predictions for the bounce signal that distinguish it from the Planck Star model. Two independent empirical handles are identified in currently available public data. First, the LIGO gravitational wave ringdown residual: after the standard quasi-normal mode ringdown is subtracted from confirmed binary merger events in the GWTC-3 catalog, the framework predicts a persistent low-amplitude oscillation whose frequency, when scalarized through the KLGHS transform, maps to a confirmed harmonic register — specifically 16/π (the kinematic primary confirmed at z = +99.63 from 1.8 million stellar velocity measurements) or 21/π (the structural binding register confirmed by nuclear decay and galaxy velocity dispersions). Second, the Fast Radio Burst friction model: an existing two-parameter model F(d,T) = 1/(1 + k·d·(T₀/T)^α) fitted to four confirmed FRB repeaters yields k = 1.376 and α = 0.683, within 2.5% of the Kolmogorov turbulence exponent 2/3. The paper pre-registers a formal derivation target: α = 2/3 should emerge from the 24-cell lattice's coordination structure (8 nearest neighbours per vertex, 24 total vertices, F4 symmetry group) without free parameters. The paper pre-registers five formal predictions with full methodology and honest if-confirmed and if-null statements: gravitational wave ringdown residual floor at a KLGHS harmonic register (P_ligo_terminus); FRB friction parameter stability across 15+ confirmed repeaters (P_frb_terminus); FRB inter-burst timing lock at KLGHS harmonic registers (P_frb_harmonics); the zero-free-parameter derivation of α = 2/3 from 24-cell lattice stiffness (P_alpha_derivation); and GWTC-4 gravitational wave frequency domain confirmation of 16/π (P_ligo_gwtc4). Two complete sovereign lake designs are provided with promoted file schemas and scalarization formulas ready for the KLGHS pipeline. The framework connecting the predictions to the observables is KishLattice Geometric Harmonic Spectroscopy, established across ten prior volumes and 13.7 million sovereign physical measurements spanning sub-nuclear particle masses to cosmological distance distributions. The geometric modulus k_geo = 16/π = 5.09295817 is confirmed STRONG across 31 independent physical domains. The 24-cell's vertex count (24) is the CONTAINER constant in the chaos null modular resonance test that produces every z-score in the series. The crystal limit is calculated. The bounce frequency has harmonic structure. The signal has been in the data since September 14, 2015. All data sources (LIGO Open Science Center GWTC-3, CHIME/FRB Catalog 1) are public. All methodology is pre-registered. The prediction record is timestamped by this Zenodo publication. The convergence test is stated precisely: if the LIGO ringdown floor frequency and the FRB friction depth parameter convert to the same terminus density in common physical units, the crystal is measured by two independent instruments.

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