The geometry of the physical world has the most profound impact on human inner freedom and sense of life.

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• If living structure impacts inner freedom, then the physical world has impact on the most precious attribute of human existence.hypothesis0.879
  Stated early in the chapter as a conditional.
• The geometry of space plays an enormous role in the presence or absence of deep human life: centers in space either support or hinder the evolution of free life.claim0.861
  Synthesis of geometry and life.
• The wholeness of geometry is intensified and brought to its maximum potential by inner light in color.claim0.837
• The impact of the geometry of the environment—its living or not-living structure—has a trace-like, catalytic effect on emotional, social, spiritual, and physical well-being.claim0.836
  Analogy to trace elements and enzymes.
• The deep nature of space appears to be so profound that just the geometric unfolding, when done properly, leads to results which make sense from an engineering point of view.claim0.828
  The mystery that beautiful geometry often yields good structural behavior is acknowledged but not yet fully explained mathematically.
• The profound wholeness of living structure, almost every time it has been done most profoundly, has been done in a mystical‑religious context.claim0.801
  A sweeping historical observation that grounds the claim that mystical context is a near‑universal condition for the highest living structure.
• Curved manifolds often represent concepts better than linear directions.claim0.793
  Proposes that nonlinear geometric structure is superior to linear feature spaces for capturing semantic content.
• All living processes are governed by the emergence of a special recognizable geometry that shows feeling and life.claim0.792