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Bott periodicity, Bott periodicity for octonion maniacs
- April 12 deadline
- Regular papers, with a length limit of 10 pages (including references), presenting new research results or rigorously describing new research ideas.
- Appropriate topics include: AGI Architectures, Knowledge Representation, Cognitive Modeling, Theoretical Foundations of General Intelligence.
2024 Conference presentations
- 2024 accepted papers
3 Levels of Awareness Cycling Through 8 Mental Contexts
- Understand the origins of the three minds in the 12 circumstances, the levels of understanding and the 24-fold sciences.
- Understand the logic of how the three minds are variously manifested.
- Understand the {$3\times 8$} equations.
- Understand how quantum symmetries describe the collapse of the linear complex structures.
- Consider how the eight-cycle may be cycling through the seven quaternionic subalgebras of the octonions along with one "implied" quaternionic subalgebra. In what sense is a quaternionic subalgebra a division of everything? or an expression of the three minds?
General intelligence applies to multiple contexts, and arguably, to all relevant contexts. Similarly, absolute truth is true in all contexts. This suggests that general intelligence can be explored as inhabiting a metaphysics for absolute truth. We present such a solipsistic metaphysics of human experience informed by proposals by several researchers working independently and consider the extent to which it could be modeled by eightfold Bott periodicity, specifically, an embedding of classical Lie groups.
3 Minds
Identify within us: Answering, questioning, investigating.
Consider what it means for all three minds to act in harmony upon the same states. What do those states look like? Consider the investigatory mind, where we let go of all of the prejudices of the answering mind, and the preconceptions of the questioning mind, and contemplate the resulting abstract void where questions and answers come together.
8 Mental Contexts
Complex things are defined in terms of simple things. But how do we define the simplest things? In terms of their relationships with each other. These are frameworks of perspectives, of channels between questions and answers.
24 Recontextualizations
Bott periodicity
A perspective is a linear complex structure. It is a symmetry-breaking operator. It is the time evolution operator {$i \times \mathcal{H}$} where {$\mathcal{H}$} is a Hamiltonian satisfying the relevant quantum symmetries.
Octonions
- L is Kaufman's "looking glass", Goertzel's "inner eye"
References
John Baez. The Octonions. {$\mathbb{OP}^1$} and Bott Periodicity.
Louis Kauffman. From Hamilton's Quaternions to Graves and Cayley's Octonions
Ben Goertzel. On the Algebraic Structure of Consciousness.