The Framework
A rigorous mathematical approach to consciousness from first principles
Qualia Algebra: A Mathematical Framework for Consciousness from First Principles
The complete treatment including foundational axioms, mathematical framework, consciousness states, the Neti Neti algorithm, multi-observer validation, experimental predictions, applications to artificial consciousness, and philosophical implications.
Qualia Algebra: Core Framework and Experimental Predictions
An abridged version focusing on foundational concepts, the mathematical framework, and experimental predictions. Ideal for initial review, journal submissions, and presentations.
Abstract
We present Qualia Algebra (QA), a rigorous mathematical framework that derives the structure of conscious experience and physical reality from a single indubitable axiom: "I exist."
The framework predicts that spatial dimensionality (n=3) arises from observer capacity constraints, derives the observer capacity formula Cmax = √(K·B), and establishes three fundamental reality-spaces: Witness Space, Consensus Space, and Personal Space.
Comprehensive and Core paper markdown files, figures embedded in comprehensive paper, and supplementary documents are available to view and download from GitHub repository.
