Trace Logic
Mathematics of the Trace Logic
A conscious agent is a Markov kernel acting on its own measurable space of experiences. If one defines observer-windows on that kernel, a partial order emerges on the space of agents, which is called the Trace Chain Theorem.
The asymptotic statistics of trace chains are conjectured to reproduce, in the appropriate limits, the mathematical structures of relativity, quantum theory, and the Standard Model of physics, but may also derive the mathematical structure of perception, inference, and conscious experience itself.
The Recursive Trace Logic extends the theory to first-person dynamics: the agent's own act of inferring, updating, and constructing its interface. It connects the trace logic to active inference and the predictive-processing literature without committing to a materialist substrate.
The trace logic is the framework. Below is the program of work it makes possible: physics, then neuroscience, metaphysics, and technological innovation. Each step validates the framework and opens new ground.