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PreprintCC BY 4.0Zenodo

Architectural Treatise for the Lucas Spiral-Based Topological Photonic Quantum Processor (LTV-1)

Abstract

This repository contains the definitive physical, mathematical, and structural blueprint for the Lucas Spiral-Based Topological Photonic Quantum Processor (LTV-1) developed by the Industrial Island Research Institute. Moving beyond standard linear qubit arrangements, this architecture utilizes a pristine aperiodic Vogel-Lucas geometry—comprising exactly 1364 micron-scale photonic scattering centers corresponding to the Lucas number L15—to map high-dimensional quantum states into a robust two-dimensional plane.

Crucially, this release demonstrates that absolute Many-Body Localization (MBL) can be achieved on a strictly 2D planar substrate. By coupling an expanded spatial density coefficient (α = 15.0) with an extreme synthetic gauge field (Λ = 25.0), the system forces absolute destructive interference for extended states. Vectorized computational verification confirms a peak Inverse Participation Ratio (IPR) of 0.9991, proving spatial wave-function locking at room temperature without the need for cryogenic cooling or external magnetic fields.

Included in this dataset:

The full Architectural Treatise detailing the resolution of the DiVincenzo criteria and the macroscopic Proof-of-Concept (POC) manual.

The vectorized Ab-Initio Floquet Tight-Binding Python verification suite (Fast Compilation).

High-resolution IPR and eigenenergy diagnostic plots.

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BibTeX
@misc{hefetz2026architectural,
  title = {{Architectural Treatise for the Lucas Spiral-Based Topological Photonic Quantum Processor (LTV-1)}},
  author = {Yaron Admon Hefetz},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23557609},
  url = {https://zenodo.org/records/23557609},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Architectural Treatise for the Lucas Spiral-Based Topological Photonic Quantum Processor (LTV-1)
AU  - Yaron Admon Hefetz
PY  - 2026
DA  - 2026/10/22
PB  - Zenodo
DO  - 10.5281/zenodo.23557609
UR  - https://zenodo.org/records/23557609
AB  - This repository contains the definitive physical, mathematical, and structural blueprint for the Lucas Spiral-Based Topological Photonic Quantum Processor (LTV-1) developed by the Industrial Island Research Institute. Moving beyond standard linear qubit arrangements, this architecture utilizes a pristine aperiodic Vogel-Lucas geometry—comprising exactly 1364 micron-scale photonic scattering centers corresponding to the Lucas number L_15—to map high-dimensional quantum states into a robust two-dimensional plane.  Crucially, this release demonstrates that absolute Many-Body Localization (MBL) can be achieved on a strictly 2D planar substrate. By coupling an expanded spatial density coefficient (α = 15.0) with an extreme synthetic gauge field (Λ = 25.0), the system forces absolute destructive interference for extended states. Vectorized computational verification confirms a peak Inverse Participation Ratio (IPR) of 0.9991, proving spatial wave-function locking at room temperature without the need for cryogenic cooling or external magnetic fields.  Included in this dataset:  The full Architectural Treatise detailing the resolution of the DiVincenzo criteria and the macroscopic Proof-of-Concept (POC) manual.  The vectorized Ab-Initio Floquet Tight-Binding Python verification suite (Fast Compilation).  High-resolution IPR and eigenenergy diagnostic plots.
ER  -