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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

  1. 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.
  2. 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.