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January 25, 2026Open Access

Consolidated Technical Report P3: Rigidity Project

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Authors

CLCristhian Edilson Lucinger

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Overview

This report demonstrates significant findings on prime number distribution, revealing new spectral properties and computational stability.

Key Points

  • The study aims to analyze spectral properties in prime number distribution using high-performance computation techniques.
  • Conducted a computational audit using 333-bit arbitrary precision.
  • Processed 1,000,000 primes on an Intel Xeon E5-2680 V4 cluster.
  • Verified results with C++ source code and high-performance computing logs.
  • Identified a trillionfold spectral instability of 3.1 x 10^12 due to a 0.1 perturbation from the Riemann critical line.
  • Confirmed absolute zero variance between different precision tiers, ruling out floating-point noise.
  • Discovered a measurable hierarchy in modular scaffolding related to prime numbers.

Cite This Study

Cristhian Edilson Lucinger (2026) studied this question.

synapsesocial.com/papers/6975b32bfeba4585c2d6e986https://doi.org/10.5281/zenodo.18347761
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