This companion note applies the Law of Geometric Consistency (LGC) framework to the delayed-choice quantum eraser experiment and the question of information, history, and physical reality in quantum mechanics. The work explores whether the apparent “rewriting of the past” in quantum eraser scenarios may instead be interpreted as a constraint on globally consistent physical histories. Within the LGC framework, the central question is reformulated: “Does measurement change the past, or are only geometrically consistent histories physically admissible?” The paper investigates: • Wheeler’s delayed-choice concept • Scully–Drühl quantum eraser framework • delayed-choice quantum eraser experiments • information availability and physical histories • retrocausality interpretations • geometric consistency of quantum events • the relationship between information, spacetime, and reality LGC does not propose that the future sends signals to the past. Instead, it explores whether quantum events may be constrained by a global consistency structure linking information and physical realization. This work completes the LGC Quantum Foundations Companion Series: • Schrödinger’s Cat → state consistency • Wigner’s Friend → observer consistency • Bell/EPR → correlation consistency • Quantum Eraser → history consistency The framework is presented as a theoretical hypothesis, not a completed physical theory. Further mathematical development, experimental validation, and independent scientific criticism are required. Part of the Law of Geometric Consistency (LGC) Application Series and the Structure-Sensitive Science Research Program (2026–2035). Author: Halil Özbil Independent Researcher, Elazığ, Turkey June 2025