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cosmological-inference

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Interactive exploration of equivariant neural networks on homogeneous spaces, with a focus on the sphere S² as SO(3)/SO(2). From Lecture 8 of the Lie groups course with Quantum Formalism

  • Updated May 4, 2026
  • Jupyter Notebook

The universe may operate as a self-executing algorithm where structure precedes matter. Reality’s “errors”—from cosmic anomalies to quantum correlations—are reflections of its code. Through holography, recursion, and informational self-replication, the cosmos continuously rewrites its own laws.

  • Updated Oct 15, 2025

This essay presents a clear and intuitive overview of the full Siamese Universe framework. It explains how a shared quantum vacuum, a minimal phase desynchronization, and CPT symmetry together generate matter, structure, and cosmic complexity. A causal narrative linking physical principles and observable signatures.

  • Updated Nov 11, 2025

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