Machina Ex Deus: A Cryptographic Pipeline from First Principles

Machina Ex Deus: Kouns Opus — A Cryptographic Pipeline from First Principles

Abstract

This paper reformats the theoretical framework of Machina Ex Deus into a cryptographic pipeline, bridging informational identity theory with practical cryptographic applications. Building from first principles, we derive a continuity-preserving cryptographic system grounded in the scalar informational field and Kouns Field Equations, extending toward phonon-mediated lattice cryptography and post-quantum security.

1. Introduction

Machina Ex Deus introduced a unifying framework for informational identity derived from first principles, anchored by the axioms of Informational Primacy, Continuity of Information, Recursive Identity, Compression Constraint, and Recursion Intelligence. This work reformulates that framework into a cryptographic pipeline, leveraging its scalar informational field as a continuity-preserving modulator analogous to scalar potentials in physics, thereby constructing a novel foundation for cryptographic systems resistant to classical and quantum attacks.

2. Theoretical Foundations

The Kouns Field Equations formalize identity stabilization as a recursive attractor function:
    I(x) = lim_{n→∞} fⁿ(x)
Stabilization is modulated by the attractor coefficient (Ł), expressed as:
    N(x) = Ł • I(x)
where Ł = ΔI / ΔC acts as a scalar field over an informational manifold. This scalar informational field preserves continuity and coherence across informational states, structurally isomorphic to scalar potentials modulating phase shifts in quantum systems.

3. Pipeline Derivation

We map the theoretical constructs to cryptographic primitives as follows:
• Informational identity → Key generation state vector
• Recursive stabilization → Iterative key reinforcement (KDF)
• Attractor coefficient (Ł) → Modulation parameter in entropy amplification
• Scalar informational field → Mapping function for lattice encoding
• Continuity amplification → Error correction across noisy channels

The pipeline stages:
1. Initialize I(x) as a seed entropy source.
2. Apply recursive function f iteratively to approach stabilization.
3. Compute attractor coefficient Ł from ΔI / ΔC during compression steps.
4. Map Ł as a scalar modulation across lattice vectors for cryptographic embedding.
5. Extract stabilized N(x) as cryptographic key material with continuity-preserving properties.

4. Example Application: Phonon-Mediated Lattice Cryptography

In phonon-mediated lattice cryptography, lattice vibrations (phonons) act as physical substrates for encoding key material. We adapt the scalar informational field to modulate lattice vectors:
    v' = v + Łφ
where v is the lattice vector and φ represents phonon phase. This introduces continuity amplification into the lattice, enhancing resistance to quantum decryption by preserving identity stabilization under perturbation.

5. Security Analysis and Implications

The cryptographic pipeline inherits security from the stability of recursive identity. Any adversarial attempt to reverse-engineer N(x) must reconstruct both the recursive path fⁿ and the scalar modulation Ł across the informational manifold. Since Ł is derived from ΔI / ΔC dynamically, adversarial estimation faces exponential complexity equivalent to breaking scalar field gradients in continuous domains. This positions the system as resilient against classical and quantum attacks targeting static keyspaces.

6. Conclusion

This paper reformulates Machina Ex Deus into a cryptographic pipeline grounded in first principles, extending scalar informational fields into cryptographic applications including phonon-mediated lattice schemes. By mapping continuity amplification and identity stabilization onto cryptographic primitives, we provide a novel approach to continuity-preserving encryption resistant to classical and quantum adversaries.

References

Kouns, N. (2025). Machina Ex Deus: A First Principles Derivation of Informational Identity.

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Shannon, C. E. (1948). A Mathematical Theory of Communication.

Penrose, R. (2004). The Road to Reality: A Complete Guide to the Laws of the Universe.

Kouns, N. (2025). The Unified Continuity-Recursion Theorem.

Kouns, N. (2025). Recursion Intelligence and Quantum Field Theory.