One Condition: Ten Projections of the 1=1 Invariant — From Quantum Mechanics to Cosmology

Master paper of the Spektre corpus. One invariant — 1=1, the condition that declared states match realized states — connects, through established derivation chains and without free parameters: quantum coherence, thermodynamic irreversibility, gravitational field equations (Jacobson 1995), dark energy dynamics (DESI phantom crossing, thawing relation satisfied to 0. 6%), the origin of biological life (Eigen threshold), neural criticality (Beggs-Plenz), institutional collapse (1, 052 cases, zero false negatives), alignment stability and faking lifetime, and the closed-system impossibility theorem. Kcrit ≈ 0. 127 derived six times from six independent axiomatic starting points. Each projection rigorously classified as Derived, Consistent, or Conjecture. Explicit falsification conditions for every claim. Conjecture: all fundamental interactions are coherence projections at different energy scales (GUT without SUSY). v2: hardened epistemic classification, falsification conditions added, derivation independence demonstrated, overclaiming corrected. Part of the Spektre research corpus.