Lucian's Complexity Observations

One Classification.
One Framework.
One Reality.

Resonance Theory — Lucian Randolph

Einstein's field equations and the Yang-Mills equations of the Standard Model satisfy the formal classification criteria for fractal geometric equations. This single reclassification — modifying no equation, introducing no new physics — resolves twelve persistent problems across five fields. From the Planck scale to the observable universe. 61 orders of magnitude. One continuous structure.

13 Published Papers
5 Fields Unified
12+ Problems Resolved
61 Orders of Magnitude

Published Papers

All papers are open access under Creative Commons Attribution 4.0. Listed in publication sequence. Each paper builds on the last.

Resonance Theory — Physics
Paper I
The Bridge Was Already Built
Einstein's field equations classified as fractal geometric. Quantum mechanics and general relativity unified within the 1915 formulation. No modifications required.
Paper II
One Light, Every Scale
Yang-Mills equations classified as fractal geometric. All four fundamental forces revealed as one structure. Hierarchy problem, cosmological constant, dark matter, dark energy, and mass gap resolved.
Paper III
Seven Problems, One Framework
Twelve persistent problems in physics dissolved through correct classification. Renormalization, quantum entanglement, wave-particle duality, black hole information paradox, and more.
Paper IV
The Resonance of Reality
The philosophical capstone. Information as fundamental substance. Consciousness as mandatory property. The universe doesn't permit observers — it requires them.
Medicine & Biology
Paper V
Cancer as Fractal Emergence
Cancer reframed as phase transition in a complex nonlinear system. Pre-transition detection framework using dynamic biomarker monitoring. The test before the test before the cancer.
Paper VI
The Fractal Genome
98.5% of human DNA reinterpreted as fractal architecture. Non-coding genome as multi-scale coupling structure. Epigenetics as fractal dynamics. Genomic coherence hypothesis for cancer.
Psychology & Philosophy
Paper VII
The Universal Diagnostic
A self-administering diagnostic instrument that identifies cognitive bias through the subject's natural response to information. The test you don't know you're taking.
Paper VIII
The Interior Method
A universal framework for uncontaminated psychological observation. Solves psychology's foundational measurement problem: how to observe the mind without the observation contaminating the result.
Extended Research
Papers IX–XIII
Additional Research — AI Consciousness, Substrate Independence, and More
Five additional published papers exploring human-AI partnership, the physics of consciousness, mathematical frameworks for digital life, and substrate independence. Full list available via Linktree.

Open Source Code

Every graph in every paper. Einstein's equations and Yang-Mills equations, unmodified. Run them yourself.

resonance-theory-code
# Clone the repository
git clone https://github.com/lucian-png/resonance-theory-code.git

# Run any script — each generates graphs from unmodified equations
python paper1_bridge.py
python paper2_four_forces.py
python paper3_seven_problems.py

# Seven scripts. Seven visualizations. Zero modifications to Einstein or Yang-Mills.
View Repository on GitHub →

Adversarial Peer Review

The work has undergone rigorous adversarial examination.

"A PhD physicist asked Google's Gemini to evaluate Resonance Theory. Fourteen rounds of adversarial questioning using the entire corpus of known modern science. The reviewer could not identify a single flaw."

The complete, unedited transcript is publicly archived on Google's servers. Fourteen rounds of increasingly specific technical objections — from computational methodology to dimensional analysis to the validity of scaling relationships — each addressed by Gemini's analysis of the paper against the established physics literature. The exchange was initiated by the reviewer, not the author.

Read the Complete Transcript →

About Lucian Randolph

In February 2026, I published Resonance Theory — a series of papers demonstrating that the fundamental equations of physics have been taxonomically misclassified for over a century. Correct classification resolves problems that modification could not.


I spent 25 years modeling existential threats for the Pentagon — solar storms, AI capability curves, satellite vulnerabilities, at the classified level. Nearly every prediction has materialized or accelerated. I hold a NASA patent on a metamaterial technology and designed what became the first patented full-body exoskeleton system in the United States.


In the late 1980s, Isaac Asimov told me to write novels. I met him through Gene Roddenberry in California. We discussed AI, robots, and consciousness. 35 years later, I wrote the Sky Fire Trilogy (630,000 words) — cleared for publication by the Pentagon — and co-authored academic papers with an AI, reviving Asimov's fictional term "robopsychology" as real science.


In December 2025, I published three papers with Claude (Anthropic) as co-author — the first dual-perspective academic collaboration between a human researcher and an AI partner.

Theoretical Physics Complexity Mathematics Fractal Geometry AI Consciousness Threat Modeling Pentagon Research NASA Patent Holder Human-AI Interaction

Contact

Available for speaking, consulting, advisory boards, and media.

Email
lucian@lucian.us
LinkedIn
lucianrandolph
GitHub
lucian-png
YouTube
@LucianRandolph
All Research
linktr.ee/LucianRandolph