Spyralkey(™)
The Core Components of SpyralKey™
1. Golden-Ratio-Based Spiral Curve
At the heart of SpyralKey™ is the golden-ratio-based spiral curve. This spiral is generated using the exponential spiral growth formula:
r(θ) = a · e^(bθ)
Where:
r(θ) is the distance from the origin at angle θ.
a is the initial radius.
b is the growth rate, which is determined by the golden ratio.
**2. Paul’s Constant
SpyralKey™ uses a proprietary mathematical constant known as Paul’s Constant. This constant is the foundation of the recursive uniqueness of each SpyralKey™. Paul’s Constant ensures that every spiral curve generated is unique to the input data.
3. Recursive Generation
The generation of each SpyralKey™ is based on a recursive algorithm. The input data is processed through a series of mathematical operations that incorporate Paul’s Constant. This recursive process ensures that each key is uniquely derived from the input data.
4. Post-Quantum Security
SpyralKey™ is designed to be post-quantum secure, meaning it is resistant to attacks from quantum computers. Unlike traditional cryptographic methods like RSA and ECC, SpyralKey™ avoids modulus math and factorization, making it structurally future-proof.
The Generation Process
Step 1: Input Data Processing
The generation of a SpyralKey™ begins with the input data. This could be anything from a user’s ID, a product serial number, or any other unique identifier. Addiotional meta data can be encoded into the SpyralKey™ e.g. Company name, website address, product ID number, release number, encrypted messages ;)
Step 2: Recursive Application of Paul’s Constant
The input data is processed through a recursive algorithm that incorporates Paul’s Constant. This recursive process ensures that each SpyralKey™ is uniquely derived from the input data.
Step 3: Exponential Spiral Growth
Using the exponential spiral growth formula (r(θ) = a · e^(bθ)), the algorithm generates a golden-ratio-based spiral curve. The parameters a and b are determined by the input data and Paul’s Constant.
Step 4: Unique Spiral Curve Generation
The final step is the generation of the unique spiral curve. This spiral curve serves as the SpyralKey™, encoding the identity both visually and mathematically. The output .SVG SpyralKey™ file can then be downloaded to your device.
Step 5: Decode a SpyralKey™ using the API, upload and confirm the validity of the .SVG file and display the Key and any additional information encoded into the key.
Applications of SpyralKey™
SpyralKey™ can be applied in a variety of industries and use cases:
Secure ID Tags: Metal cards, keyfobs, and wearables.
Encrypted Symbolic Access Keys: Secure web access.
Supply Chain Object Verification: Track and verify products.
NFT Fingerprinting & Provenance Tracking: Secure digital assets.
Web Login Tokens with Physical Authentication: Combine physical and digital authentication.
Future Integration into Quantum-Resistant Platforms: Ready for the next generation of security.
SpyralKey™ is a groundbreaking cryptographic system that combines the beauty of art with the precision of mathematics to create a post-quantum secure, visually unique identity platform.
By using a golden-ratio-based spiral curve, Paul’s Constant, and a recursive generation process, SpyralKey™ ensures that each key is uniquely derived from the input data. Its applications span across various industries, making it a versatile and future-proof solution for identity and security.