Lux(λ) |光尘|空灵|GEB
Lux(λ) |光尘|空灵|GEB|Jul 31, 2025 12:06
🧵 [1] From Turing Machine to Bitcoin: Constructing a Decidable Irreversible Time System Why is Bitcoin not Turing complete but able to build global consensus? It is not a failed formal system, but a meta formal system. Let's dismantle it 👇 [2] The Bitcoin system structure can be divided into three layers, corresponding to three types of judgment problems: TX layer: Turing machine system Block layer: Oracle+Ultra poor Iterative System Time layer: Axiomatic time system composed of dissipative structures Three layer collaboration, from undecidable to decidable, and then to embedding irreversible time. [3] 🧩 TX layer issue: Double Flower This is a classic undecidable problem, similar to the business version of the "shutdown problem": the system cannot determine whether a certain TX has been executed internally. The Turing machine system cannot solve this problem internally and must be elevated to a higher level. [4] 🧠 Task of Block Layer: Conversion+Adjudication The double flower problem has been transformed into a Block fork problem - a problem of type ∼ x ∃ y. The formal system cannot solve the problem, it can only be handed over to an "external judge": the oracle system. This is precisely the core idea of Turing's 1939 paper on ordinal logic systems. [5] 💡 How does the oracle system make judgments? Construct higher-order judgment systems through super poor iteration. Each new ruling accumulates on the basis of the previous order, gradually establishing a nearly complete system. This allows the Block to choose a "trustworthy arbiter" that, although formally non constructible, is executable in operation. [6] 🔥 Judgment is not equal to time, time needs to be 'physicalized' Each block determined by the oracle needs to be written into the timeline and become a part of the global history. This requires the emergence of a third layer system: dissipative structure systems. [7] ⛓️ Dissipative structure system: an axiomatic system that transforms time into irreversibility The PoW mechanism constructed by Bitcoin using computing power consumes thermal resources in reality, casting a time stamp every 10 minutes. Each block is embedded in an irreversible sequence of physical events. Thermodynamics=Axiom. [8] 📐 The three-layer system corresponds to Turing's three papers: 1936 "computable numbers": Turing machines 1939 "Ordinal Logic System": Oracle and Ultra poor Iteration 1952 "Fundamentals of Morphology": dissipative structures Bitcoin is not Turing complete, but it combines these three theories into a running philosophical machine. [9] 🎯 How does Bitcoin solve the "trust" problem? Double flowers cannot be determined → Rise to fork selection Fork cannot be constructed → decision given by super poor iteration Judgment not trusted → Physical embedding with thermodynamic structure Ultimately, trust=time=calculating irreversible costs. [10] 🧠 Essence: Bitcoin is a hyper formal system It does not rely on Turing completeness, but on a three-layer coupled system to achieve: Computable logic External arbitration system Physical time basis It unifies "computability, selectivity, and temporality" into one machine. [11] 🚀 We are living in an unprecedented moment: Bitcoin has constructed a referable irreversible time machine using a formal system, oracle, and thermodynamics. This is not only a monetary revolution, but also a significant leap in computational philosophy. Bitcoin Turing Computational Philosophy Time Consensus
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