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# Reference Papers: Positive Geometries and Conscious Realism
## The Core Physics (Amplituhedron)
1. **The Amplituhedron**
- Authors: Nima Arkani-Hamed, Jaroslav Trnka
- ArXiv: `1312.2007`
- File: `Arkani_Hamed_The_Amplituhedron_1312.2007.pdf`
2. **Into the Amplituhedron**
- Authors: Nima Arkani-Hamed, Jaroslav Trnka
- ArXiv: `1312.7878`
- File: `Arkani_Hamed_Into_the_Amplituhedron_1312.7878.pdf`
## The Hoffman Synthesis
3. **Fusions of Consciousness**
- Authors: Donald D. Hoffman, Chetan Prakash, Robert Prentner
- Published: *Entropy* (2023), Vol. 25, Issue 1, 129
- Note: This is the seminal paper where Hoffman defines a mathematical map from the Markovian dynamics of conscious agents to "decorated permutations," which are the combinatorial objects that underpin positive geometries like the Amplituhedron.
4. **Traces of Consciousness**
- Authors: Donald D. Hoffman, Chetan Prakash, et al.
- Note: Follow-up work further exploring how Conscious Agents project physical phenomena via positive geometries.