Entanglement is information distributed over the parts of a system, classical or quantum. It can be modeled as a reduction of the structure group, of horizontal symmetries, extending the Gauge Theory paradigm. Many conflicting interpretations are rooted in considering quantum properties as ``intrinsic'', e.g. in the Point-Form QFT / Gauge Theory, and needing a causal connection for ``changing'' the unknown state of the partner-particle, or confirming that QM is (was) ``incomplete'': EPR. The natural explanation of entanglement starts with Einstein's time synchronization and takes advantage of the advancement in our models of particle physics and quantum computing. The ``external variables'' emerge from the ``intrinsic variables'' and the entanglement relations are in fact generalizations of conservation laws. New aspects will be discussed: beyond Noether Theorem, from gauge fiber to horizontal symmetry groups, Hopf algebras model change of symmetry group, analogous to creation-annihilation of pairs of particle-antiparticle, but for information, corresponding to entanglement. Relations with quantum eraser, 2-slit experiment and retrocausality are discussed.