The Fibonacci-Tetrahedral Lattice: A Unified Geometric Origin for Dark Matter and Dark Energy
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2026
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| _version_ | 1866901494341566464 |
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| author | Ebanks, Andrew |
| author_facet | Ebanks, Andrew |
| contents | <p>This paper proposes the Fibonacci-Tetrahedral Lattice (FTL), a discrete geometric substrate for the vacuum derived from an E8-to-3D projection. By treating space as a quasicrystalline packing rather than a smooth continuum, we identify a foundational ’Information-Ontology’ where the 8D lattice serves as the geometric source and 3D reality is the projected result.<br>We demonstrate that the transition from 8D symmetry to 3D packing necessitates a 7.356◦ topo-logical deficit (the Aristotle Gap). This geometric frustration manifests macroscopically as an en-tropic pressure, providing a zero-parameter resolution to galactic rotation curves (“Dark Matter”) without requiring new particles.<br>Furthermore, by applying Holographic Scaling (N 2/3) to the lattice nodes, we resolve the “Vacuum Catastrophe,” deriving an observed energy density of ≈ 10−27.33 kg/m3 (matching Λ) from the theoretical Planck baseline.<br>Key Prediction: The model introduces Species-Dependent Invariance (SDI), where the speed of light (c) is identified as a lattice-constrained phase velocity distinct from the substrate velocity (csub). We derive a falsifiable prediction for multimessenger astronomy: ultra-high-energy neutrinos (E ≥ 100 TeV), acting as topological solitons, should exhibit a 12.4 ± 2 ms temporal lead over photons from transient sources at redshift z ≈ 0.25.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18586725 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Fibonacci-Tetrahedral Lattice: A Unified Geometric Origin for Dark Matter and Dark Energy Ebanks, Andrew Discrete Spacetime Quantum Gravity Geometric Frustration Fibonacci-Tetrahedral Lattice Quasicrystal Vacuum Holographic Principle Dark Matter Dark Energy Vacuum Catastrophe Cosmological Constant Problem Hubble Tension Galactic Rotation Curves Bekenstein-Hawking Entropy Topological Defects Vacuum Energy Density <p>This paper proposes the Fibonacci-Tetrahedral Lattice (FTL), a discrete geometric substrate for the vacuum derived from an E8-to-3D projection. By treating space as a quasicrystalline packing rather than a smooth continuum, we identify a foundational ’Information-Ontology’ where the 8D lattice serves as the geometric source and 3D reality is the projected result.<br>We demonstrate that the transition from 8D symmetry to 3D packing necessitates a 7.356◦ topo-logical deficit (the Aristotle Gap). This geometric frustration manifests macroscopically as an en-tropic pressure, providing a zero-parameter resolution to galactic rotation curves (“Dark Matter”) without requiring new particles.<br>Furthermore, by applying Holographic Scaling (N 2/3) to the lattice nodes, we resolve the “Vacuum Catastrophe,” deriving an observed energy density of ≈ 10−27.33 kg/m3 (matching Λ) from the theoretical Planck baseline.<br>Key Prediction: The model introduces Species-Dependent Invariance (SDI), where the speed of light (c) is identified as a lattice-constrained phase velocity distinct from the substrate velocity (csub). We derive a falsifiable prediction for multimessenger astronomy: ultra-high-energy neutrinos (E ≥ 100 TeV), acting as topological solitons, should exhibit a 12.4 ± 2 ms temporal lead over photons from transient sources at redshift z ≈ 0.25.</p> |
| title | The Fibonacci-Tetrahedral Lattice: A Unified Geometric Origin for Dark Matter and Dark Energy |
| topic | Discrete Spacetime Quantum Gravity Geometric Frustration Fibonacci-Tetrahedral Lattice Quasicrystal Vacuum Holographic Principle Dark Matter Dark Energy Vacuum Catastrophe Cosmological Constant Problem Hubble Tension Galactic Rotation Curves Bekenstein-Hawking Entropy Topological Defects Vacuum Energy Density |
| url | https://doi.org/10.5281/zenodo.18586725 |