AI research · Joseph Anady

The work behind
the consciousness
hypothesis.

What changes inside an artificial system—and what persists after that change?

My research examines declaration, recurrent information, and the constructed states a system continues to operate from. These papers put the mathematics, the measurements, and the questions still to be tested in one place.

Cover of Consciousness, Declaration, and Persistent Change by Joseph Anady, September 2026.
Two papers. One complete research volume.

Inside the mathematics

Change is a measurement.
Its meaning is a question.

The papers distinguish a system’s internal representation, an independently measured reference, and a declaration event. Those distinctions make the proposed sequence testable.

The earlier Consciousness Quality equation is explored in the Reasoning chapter. This volume audits explicit mathematical rules and develops a protocol for investigating declaration and persistent change.

The persistence criterion belongs to that proposed protocol. The checkpoint records do not contain the paired representation and reference measurements needed to evaluate it.

Compare like with like

δt=d(zt,rt)

Compare the maintained representation z with the current reference r in a common space. A difference from an earlier state does not, by itself, imply an error about the present.

Paper II, §2.2 · page 31 (PDF, opens in a new tab)

Define how long a difference persists

Pt(ϵ,m)=1{min0j<mδt+j>ϵ}

The indicator is 1 when the discrepancy stays above tolerance ϵ throughout m observations. It defines a finite measurement window, not a verified moment of consciousness.

Paper II, §2.3 · page 32 (PDF, opens in a new tab)

Explore the scene

An idea comes to life.

A business example

A visual illustration of the idea.

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