ENI6MA a Cryptographic Engine for Zero-Knowledge Proofs Across Modalities

ENI6MA is not just an authentication platform—it is a next-generation proof infrastructure. At its core lies a novel cryptographic primitive, the Rosario–Wang Proof of Information Entanglement, a high-dimensional, zero-knowledge protocol that transforms human-memorable inputs into reusable, carrier-agnostic cryptographic proofs.

This architecture enables secure identity, data integrity, and authorization—without storing secrets, revealing credentials, or requiring specialized hardware. ENI6MA functions as a layer-zero trust substrate for post-quantum ecosystems, redefining authentication as an epistemic act, not a secret exchange.

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🔬 Cryptographic Foundations

ENI6MA introduces a universal symbolic language:

• A unified symbol set $L = \bigcup_i \Sigma_i$ spans multiple modalities—text, tone, color, gesture.
• A morphism-invariant commitment array encodes a secret word across any medium.
• Each symbol maps to an eigen-signature in a Hilbert manifold $\mathbb{M}$, enabling projection, verification, and recovery across media: light, sound, haptics, or RF.

Above this geometric layer operates the Rosario–Wang Protocol:

• Each session generates a nonce-shuffled alphabet $X^R$ and a round-specific projection $\Pi_{e^R}(P) \subset \mathbb{M}$.
• The prover must show correct subset membership of their projection across $n$ randomized rounds, producing a single-bit accumulator $\Lambda$ for verifier validation.
• This interaction is stateless, zero-knowledge, and replay-resistant—even when transcripts are fully observed.

The result is a zero-knowledge password proof (ZKPP)—a cognitive authentication primitive that is:

• Fully entropy-synchronized via symmetric nonce lifecycles (AVAILABLE → RESERVED → USED),
• Immune to phishing, replay, or brute-force attacks,
• Secure against quantum adversaries due to combinatorial projection hardness.

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🔐 Security Model

Threat Class	Defense Mechanism	Result
Replay Attacks	Entropy-gated morphisms $\Pi_{e^R}$, non-reusable nonces	Observed transcripts become invalid
Phishing / Keylogging	Symbol shuffling $\Sigma(A) \rightarrow X^R$ per round	Recorded keystrokes don’t replay secrets
Quantum Attacks	Hilbert lattice traversal over multiple combinatorial spaces	Grover and Shor ineffective
Storage Breach	Stateless commitments, no persistent secrets	Server-side breaches yield nothing usable

Mathematically, soundness and zero-knowledge are formalized via:

• Entropy-accumulated membership proofs,
• Roundwise projection foliations over disjoint symbolic subspaces,

• Probabilistic guarantees of security: $\Pr[\text{forgery}] \le (

  \Sigma

  ^{-1})^{nk}$.

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🌐 Applications Across Ecosystems

ENI6MA’s symbolic core and modular deployment model allow it to anchor secure communication, identity, and verification in:

🔗 Enterprise & IAM

• Replace MFA codes with in-memory cognitive proofs
• Integrate via SSO and Zero-Trust identity providers (Okta, Azure AD)

🌍 IoT & Embedded Systems

• Stateless zero-knowledge attestation on constrained hardware
• Supports gesture pads, LED rings, ultrasonic emitters

📡 Blockchain & Web3

• Post-quantum wallets with portable seed commitments
• ENI6MA proofs substitute for VRF/VRF+PoS-based block eligibility

🧠 Human Authentication & E-ID

• Memory-based passwords resistant to shoulder-surfing
• Cognitive symbol challenges rendered via QR, NFC, or audio

🎛️ Content Integrity & AI Provenance

• Symbolic eigen-signatures watermark neural networks
• Embed proofs in weights or activations without degrading performance

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🧩 Protocol Stack & Reference Architecture

Layer	Role	Patent Anchor
Commitment Engine	Builds $C = (s_k, \Sigma_j, t_k)$ from user-secret + nonce	Claim 1, Axiom 3
Projection Driver	Generates session-specific slice of manifold $X^R \subset \mathbb{M}$	Eq. 10, Claim 8
Verifier Module	Sensory matching $|\mathbf{v} - \varphi(s)| < \varepsilon$	Eq. 12–13

The system requires no vault, no shared secrets, and no device registration. Each login projects a new slice of the manifold, verified via entropic gating and human-memory input.

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📏 Formal Compliance

ENI6MA aligns with:

• NIST SP 800-63-C (AAL3) – provides hardware-free, phishing-resistant assurance
• ISO/IEC 19790 – cryptographic module verification in HSMs, e-passport chips
• IEC 62443 – industrial control and critical infrastructure authentication

Machine-checkable axioms enable formal proofs in Coq/Isabelle, suitable for regulatory approval or post-quantum standards.

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💼 Business Model

ENI6MA operates as a licensable cryptographic IP company, akin to ARM or Dolby:

• SDK Access: WASM verifier + RPC endpoints for IAM/SaaS ($/user/month)
• OEM IP Block: FPGA- and ASIC-level logic slices for embedded use
• Sovereign Suite: Turnkey stack for national ID, DIDs, and compliance

ENI6MA’s total addressable market spans authentication, IoT, AI provenance, and decentralized identity—well beyond $500B in aggregate.

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🧠 Closing Perspective

Where classical cryptography hides secrets inside devices, ENI6MA relocates trust into symbolic cognition. Each proof is ephemeral, unforgeable, and bound to a session-specific, entropy-driven projection—never stored, never repeated.

In a world of generative adversaries and broken credential chains, ENI6MA transforms authentication into a cognitive act, verifiable through structured projection—not static possession.

ENI6MA doesn’t secure passwords. It proves knowledge without ever revealing it.

References

1. FD. Rosario & L. Wang PhD, Proof of Information Entanglement, provisional patent USPTO 2025.
2. S. Goldwasser, S. Micali & C. Rackoff, “The Knowledge Complexity of Interactive Proofs”, SIAM J. Comput. 18(1), 1989.
3. E. Ben-Sasson et al., “Post-Quantum Zero-Knowledge Proof Systems”, J. Cryptology 35(4), 2022.