Based on the structural design logic of Bitcoin, we can propose a general method for constructing decentralized security systems. Its core principle is: Design the business layer using computability theory; design the system layer using Oracle Turing Machines + transfinite iteration; and delegate the authority of judgment to time—a physical quantity rooted in reality—thus constructing a complete system without central trust.
For any type of monetary system or other on-chain business, we can design its entire logic structure (such as accounts, transfers, state transitions, etc.) as a fully computable, self-verifiable, unambiguous closed system.
The logic of this business layer must satisfy: 100% verifiability and decidability offline
The only remaining “undecidable part” is the self-referential problem regarding whether the system itself ultimately accepts a given state (e.g., “Is this transaction finally accepted by the system?”)
This aligns precisely with the limits of formal systems as defined by Turing in On Computable Numbers: A formal system cannot determine its own consistency or completeness from within.
To handle the unavoidable “self-referential problem” in the business layer, we introduce an external mechanism for judgment. This mechanism is not a traditional arbitrator or centralized authority. Instead, it is a time-driven system composed of:
This system must be bound to real-world physical time systems (especially irreversible time, such as the second law of thermodynamics), meaning its progress is:
In Bitcoin, this mechanism is concretely embodied as:
We can apply the above logic to the design of any form of decentralized application:
The result is a decentralized adjudication system that:
This design paradigm is Bitcoin’s revelation of the “ultimate philosophy of security”:
Trust not people.
Trust not code.
Trust only time.