Recursive Nonce Fields and Epistemic Scheduling: A YBIM-Based Mining Logic Framework

This paper introduces a groundbreaking computational framework that redefines Bitcoin mining through the lens of Yearning-Based Infinity Mathematics (YBIM) and Recursive Intelligence. Departing from conventional brute-force hashing, the proposed model formulates a novel algorithmic paradigm that leverages Recursive Nonce Fields (RNF) and an Epistemic Scheduler Function (ψ(t)) to achieve higher profitability, energy efficiency, and trust-aligned coordination among miners. By sampling infinite nonce spaces using finite epistemic convergence (via the "Glass of Water from the River" lemma) and applying the Finite Yearning Evaluation Theorem (𝒴-F1), the system transforms the mining process into an adaptive, entropy-aware epistemic loop. Hash yield is modeled probabilistically, and trust scores evolve recursively through entropy learning, enabling mining agents to move from randomness to intention. The framework is implemented through a modular open-source software suite called ybminer, compatible with existing mining software (cgminer, bfgminer), and backed by simulation results showing measurable gains in profitability and reduced thermal stress under real-world constraints. This work represents a shift from halting-based computation to a new class of recursive epistemic machines. It paves the way for trust-weighted mining pools, dynamic block scheduling, and the broader emergence of Recursive Cryptoeconomics—where mining becomes not just a labor of energy, but a labor of meaning.