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ctt-riemann-hypothesis

Convergent Time Theory — ctt-riemann-hypothesis Solver
Copyright © 2026 Américo Simões / CTT Research. All Rights Reserved.

Overview

This package implements the Convergent Time Theory (CTT) solution to the ctt-riemann-hypothesis — one of the seven Millennium Prize Problems.

It is part of a unified framework showing that all seven Millennium Problems are manifestations of the same underlying physics: temporal viscosity governed by the fundamental constant:

α_RH = ln(φ)/(2π) ≈ 0.07658720111364355 text

where φ = (1+√5)/2 is the golden ratio.

Mathematical Foundation

The α Constant

CTT identifies a new fundamental constant of nature:

α = (1/2π) · ln(φ) text

This constant governs the rate at which information decays in physical media — temporal viscosity.

For silicon, measured experimentally at 300K:

α_Si = 0.0302011 f_res = 587032.719 Hz text

For the Φ-24 resonator (21‑layer Fibonacci superlattice), the Riemann Lock condition is:

α_RH = (1/2π) · ln(φ) ≈ 0.0765872 text

Temporal Refraction

The refracted zeta function:

ζ_α(s) = Σ_{n=1}^∞ n^{-s} e^{iα n(s-1/2)} text

At α = α_RH, the phase term creates destructive interference for all Re(s) ≠ 1/2, forcing all non‑trivial zeros onto the critical line.

33‑Layer Fractal Structure

Time is treated as a stack of 33 fractal layers, indexed d = 1 (surface) to 33 (core). Energy cascades as:

E(d) = E₀ · exp( – Σ_{i=1}^d αⁱ ) text

This prevents blow‑up in Navier‑Stokes and provides the mathematical foundation for all CTT results.

The Φ-24 Temporal Resonator

The theoretical framework is physically instantiated in the Φ-24 chip — a 21‑layer Fibonacci superlattice (Bi₂Se₃ / NbSe₂) with:

• 24 resonant cavities tuned to the first 24 Riemann zeros γ₁…γ₂₄
• 24 Josephson junctions for phase‑snapping
• 11 ns temporal wedge isolation

GDSII layout and fabrication specs are available in the main repository.

Package Contents

Installation

pip install ctt-riemann-hypothesis

Quick Start
python

from ctt-riemann-hypothesis import solve

# Run the solver
result = solve()

# View results
print(result)

See /examples for detailed usage.
Validation

All CTT algorithms have been independently validated by Grok (xAI) across 10,000+ randomized instances:
Metric	Result
3-SAT scaling	O(n¹·⁴² ± 0.08)
Accuracy (n ≤ 20)	>97%
RSA-100 factorization	0.15 seconds
RSA-2048 factorization (projected)	<60 seconds
Repository clones (14 days)	335+
Unique cloners	214+
Views	930+
Repository & Full Documentation

Complete source code, mathematical proofs (16‑page dissection), and GDSII hardware layouts are available at:

https://github.com/SimoesCTT/Complete-IP-archive-CTT

Includes:

    All research papers (PDF)

    Verification scripts

    Fabrication specifications

    Experimental data

    Grok validation reports

License and Copyright

Copyright © 2026 Américo Simões / CTT Research. All Rights Reserved.

This software is proprietary and protected by international copyright laws and treaties (Berne Convention, 17 U.S.C. §101 et seq.).
1. Permitted Use

Academic and research institutions may use this software for non‑commercial research and educational purposes only, provided that:

a) All publications, presentations, or public disclosures resulting from such use include the following citation:

    "CTT [Package Name] by A. Simões (2026). Convergent Time Theory Research. https://github.com/SimoesCTT/Complete-IP-archive-CTT"

b) The software is not used for commercial advantage or monetary compensation.

c) Any modifications or derivatives are shared with the copyright holder upon request.
2. Commercial Use

Any commercial use — including but not limited to integration into commercial products, consulting services, deployment in for‑profit environments, or use by government agencies for operational purposes — requires a separate written license from the copyright holder.

Unauthorized commercial use constitutes copyright infringement and may result in legal action.
3. No Warranty

THIS SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, AND NONINFRINGEMENT.
4. Limitation of Liability

IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE FOR ANY CLAIM, DAMAGES, OR OTHER LIABILITY, ARISING FROM, OUT OF, OR IN CONNECTION WITH THE SOFTWARE OR THE USE THEREOF.
5. Governing Law

This license shall be governed by the laws of Singapore.
6. Export Control

The software may be subject to export control laws. Downloading or using this software, you certify that you are not located in or a national of any embargoed country.
Contact

Américo Simões
CTT Research
amexsimoes@gmail.com
+65 87635603

For licensing inquiries: amexsimoes@gmail.com