Observer Geometry I: Beyond Distance - Projection, Basis, Accumulation, and Observer Signatures

Key Points

• The central aim is to formalize observer comparison and characterize replayability, visibility, and reliability under constraints.
• Formalization of observer geometry.
• Separation of projection, basis, and accumulation concepts.
• Analysis of task reliability under resource limits.
• Distinction between structural information loss and decoder-induced error.
• Provides finite, checkable witnesses for core separation results.
• Clarifies loss of structural information versus decoder error impacts.
• Demonstrates implications for distributed and provenance-aware systems.