Observer Geometry E; The Observer Horizon in Quantum Gravity

This paper proposes the existence of a novel horizon structure in quantum gravity theory, defined by cognitive complexity rather than gravitational strength —the observer horizon. By correlating the minimum area eigenvalue in loop quantumgravity with the dimension of the observer algebra, and introducing the Immirziparameter as a proportionality factor, we establish an area-algebra correspondence.Based on this relation, we derive an expression for the algebraic dimension of theminimal observer unit, which is approximately 62.5 under a specific parameterchoice. This structure leads to the emergence of a dual horizon geometry near thePlanck scale: when the observer horizon radius exceeds the gravitational horizonradius, the dynamics of spacetime are dominated by the observer’s informationprocessing capacity. We further demonstrate that this framework provides a newpath to resolving the black hole information paradox: the existence of the observerhorizon modifies the black hole evaporation equation, prevents the formation of asingularity, and predicts the existence of a stable remnant at the end of evaporation — the ”observer star”. In cosmology, the theory predicts testable oscillatoryfeatures in the cosmic microwave background power spectrum at high multipole moments, as well as modifications to primordial non-Gaussianity. The observer horizontheory unifies the quantum discreteness of spacetime, the black hole informationproblem, and early universe observations into a coherent framework, offering newresearch directions for quantum gravity phenomenology.