Positive Geometries

Donald Hoffman argues that positive geometries, such as the amplituhedron, exist outside of spacetime and quantum theory, acting as foundational structures that project spacetime phenomena. These geometries—defined by decorated permutations—suggest that spacetime is not fundamental, but rather a 'headset' or projection of a deeper reality based on interacting conscious agents. 

Key Aspects Of Positive Geometries Outside Spacetime:

  • The 'Doomed' Spacetime: High-energy physics implies spacetime cannot be fundamental, failing at Planck scales, making way for new structures.
  • Positive Geometries: Mathematical tools (like the amplituhedron) that calculate particle interactions simply, without assuming spacetime or quantum mechanics, operating in a more fundamental space.
  • Decorated Permutations: Combinatorial objects that serve as the fundamental 'language' or classification system behind positive geometries.
  • Conscious Agents: Hoffman suggests these structures represent the network dynamics of interacting conscious agents rather than physical particles.
  • Transition from Physics: These mathematical objects are seen as a 'projection' of a deeper, non-physical reality—a shift from physical substrates to a mathematical network of agents. 

Hoffman's theory implies that these mathematical structures exist behind the 'desktop' of our perceptual reality.

https://www.youtube.com/embed/pKm0e4pmUhU





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