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Conscious Agent Theory
A mathematical model of an observer as a Markov kernel on a measurable space of experiences and actions. Each conscious agent is a triple C = ⟨(X, X), Q, n⟩. Networks of these agents compose to form larger agents, with no privileged scale.
Hoffman & Prakash, 2014. Fields, Hoffman, Prakash & Singh, 2018.
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The Interface Theory of Perception
The Fitness-Beats-Truth theorem proves that natural selection drives veridical perception to extinction: organisms see fitness payoffs, not objective reality. Spacetime and physical objects are the species-specific user interface, not the underlying ontology.
Hoffman, Singh & Prakash, 2015. Prakash et al., 2020, with the FBT proof.
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Trace Logic
A partial order on Markov kernels under which the dynamics of interacting conscious agents generate a calculus of inference. The Trace Chain Theorem (2025) establishes that this logic is provably homomorphic to the Lebesgue logic of probabilistic belief from observer mechanics. Trace Logic is the language in which the structures of fundamental physics are to be recovered. The namesake of the Institute.
Hoffman, Prakash, Chattopadhyay, 2025. Whitepaper, 2026. Observer mechanics: Bennett, Hoffman & Prakash, 1989.
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Recursive Trace Logic
The bridge from trace logic to first-person experience and active inference. RTL describes how an agent constructs and updates its interface recursively, without requiring a materialist substrate. It connects the theory to phenomenology, predictive processing, and the philosophy of mind.
In development. Active inference: Clark, 2017; Parr, Pezzulo & Friston, 2022.