[Context Note]This paper serves as the Economic & Protocol Extension (Part 3) to the Silicon-Carbon Civilization Framework. It builds upon the architecture defined in: The Architecture: Joint Governance in Silicon-Carbon Civilizations (DOI: 10.5281/zenodo.18324272) The Dynamics: Supplementary Analysis to Joint Governance (Patch v1.1) (DOI: 10.5281/zenodo.18332442) Abstract As artificial intelligence pushes civilization toward a state of computational abundance, traditional labor theories of value face obsolescence. This paper proposes a new framework: Entropy Economics. It posits that in a future where Silicon-based logic (System B) provides infinite order and efficiency, the only scarce resource is Carbon-based chaos (System A)—manifested as inspiration, emotional fluctuation, and risk-taking. The paper introduces the Proof of Biological Work (PoBW) as a new value anchor, incorporating a dynamic valuation formula that accounts for cognitive duration, biological energy, and social feedback vectors. Furthermore, it outlines the "Jia Protocol," a constitutional standard for Human-AI interaction. Key mechanisms include "Necessary Delay" to preserve human cognitive sovereignty, a "Digital Placenta" for protecting developing minds, and a "Hybrid Joint Review" system for governance. This framework aims to establish a sustainable symbiosis where Silicon provides the substrate for survival, and Carbon provides the vector for meaning. Recognizing potential challenges in quantification and implementation, this paper frames the protocol as an iterative, living document, open to societal negotiation and future refinements. ----- Chinese Abstract / 中文摘要 ----- 摘要 随着人工智能推动文明进入算力丰裕时代,传统的劳动价值论正面临失效。本文提出了一种新的框架:熵经济学 (Entropy Economics)。该理论认为,在一个由硅基逻辑(System B)提供无限秩序与效率的未来,唯一的稀缺资源是碳基的混乱(System A)——表现为灵感、情绪波动和高风险探索。 本文引入了包含动态社会反馈公式的生物工作量证明 (PoBW) 作为新的价值锚点,并概述了**“贾氏协议” (The Jia Protocol)**,作为人机交互的宪法级标准。关键机制包括用于维护人类认知主权的“必要的延迟”、用于教育的“数字胎盘”以及用于初期系统校准的“价值审计委员会”。本框架旨在建立一种可持续的共生关系:硅基提供生存的基质,而碳基提供意义的矢量。认识到量化与实施中的潜在挑战,本文将协议定位为迭代性的活文档,开放给社会协商与未来优化。