CVR Protocol Mathematical Framework Series

Proposal: A Continuous Verifiable Reality (CVR) Framework for Reducing RWA Collateral Risk Weights

The founding paper. Establishes Continuous Verifiable Reality (CVR) as the framework for reducing tokenized real-world-asset collateral risk weights under Basel IV by reducing model risk in underlying asset valuation. Distinguishes credit risk from operational risk and locates signature forgery on attestation chains in the operational-risk category.

ProofLedger Protocol: Core Tenets and Mathematical Framework

Formalises the ProofLedger Protocol: the layered architecture in which sensor attestations, threshold-convergent oracle consensus, and chain-anchored commitments compose into a continuously-verifiable record of physical-asset state. Defines the anchoring cadence, the commitment structure, and the proof-replay semantics that downstream papers build on.

MCMC as Computational Engine for Basel SCO60 Group 1a Tokenized Physical Asset Verification

Develops Markov Chain Monte Carlo as the computational engine for Group 1a tokenized physical-asset verification under Basel SCO60. Quantifies the parameter posteriors over asset state, defines convergence diagnostics that support supervisory dialogue, and gives the construction by which an MCMC-grounded valuation can be audited against the standard supervisory review criteria.

Threshold-Convergent Systems: Quantum Error Correction and Oracle Consensus Under Basel IV

The consensus-layer paper. Derives convergence bounds for Byzantine-fault-tolerant oracle consensus when the underlying execution substrate carries quantum error correction overhead. Locates the threshold-convergent regime in which oracle agreement is achievable under the same physical-cost accounting that the next paper applies to the signature layer.

Asymmetric Computational Burning: Burn-Bound Schnorr Signatures and the T-Gate Quantum Shield for CVR Protocol Attestations

The signature-layer companion to CVR4. Introduces Asymmetric Computational Burning (ACB), a cryptographic paradigm that deliberately exploits the chasm between classical AES-NI hardware acceleration (approximately 2 ns per block) and the magic-state distillation bottleneck of fault-tolerant quantum computers. The QUBIT_BURN construction iterates AES-256 over 10⁷ rounds; classical evaluation completes in approximately 20 ms via AES-NI, while a single Grover query in superposition requires approximately 158,500 physical qubit-years to run. The full Grover search demands approximately 5.4×10⁴³ physical qubit-years — physically impossible by tens of orders of magnitude under any projected technology, including aggressive qLDPC and magic-state cultivation assumptions.

The Burn-Bound Schnorr (BBS) construction binds the burn output to each individual message via a random-oracle H₂(m), closing a replay vulnerability present in the preliminary Burn-Attested Schnorr (BAS) predecessor and forcing any quantum forger to evaluate QUBIT_BURN in superposition for every fresh message. The paper provides a complete STARK engineering specification over the Goldilocks prime field, with LogUp lookup arguments for the AES S-box and two-tier STARK-of-STARKs aggregation. BBS is positioned as an Asynchronous High-Value Attestation primitive activated at four anchoring moments: registry commits, Basel SCO60 reporting events, EU CRCF Regulation 2024/3012 issuance, and cross-chain bridge crossings.

Appendix B documents two material errors corrected from the BAS predecessor: the replay vulnerability noted above, and a 1,000× unit-conversion error in the original physical-qubit-year arithmetic (each T-gate costs 100 physical qubit-seconds, not 0.1 — the corrected figure strengthens the security claim by three orders of magnitude). The transparent error correction is in line with the Trellison 18-signal methodology commitment that negative results and identified errors are themselves results.