The Compressed Map as Holonomy of the Spin Connection

This work investigates whether a narrative intuition (that a time traveler carries with them a compressed structural imprint of their origin reality) has a precise counterpart in known physics. Through a sequence of formal identifications, the proposed object Ψₘ is shown to correspond to the holonomy of the spin connection along a worldline: the geometric phase accumulated by a spinor under parallel transport in a non-trivial spacetime geometry. The analysis examines several candidate realizations, including gravitational infrared dressing, where the effect is suppressed by infrared cancellations and observationally inaccessible. The physically relevant regime emerges instead in topologically non-trivial geometries, where the phase becomes a global invariant protected by holonomy. The same mathematical structure appears independently in three contexts: cosmic string geometries in general relativity, disclinations in Dirac materials such as graphene, and relativistic spinor transport in curved spacetime. This unified interpretation connects the original narrative intuition with a well-defined geometric object in differential geometry and quantum field theory. The work also suggests a possible mixed holonomy contribution in hybrid systems combining lattice defects and spin–orbit coupling in Dirac materials.