Translator In conventional particle physics, internal symmetries are postu-lated as fundamental kinematical inputs, while boundaries and inter-faces merely select solutions within a fixed symmetry framework. Inthis work we show that this logical order can be reversed.Within Finite–Resolution Physics (FRP), physical descriptions areconstrained by finite resolution, global consistency, and statistical typ-icality. We demonstrate that these constraints force boundary com-patibility conditions whose dual structure uniquely determines theinternal symmetry content of the theory. Internal symmetry there-fore emerges as a stabilizer of boundary coherence, rather than as anindependent postulate.Technically, the finite–resolution constraints define a linear sub-space of admissible boundary data. Its dual annihilator acts simulta-neously across all representation sectors, giving rise to a Simultane-ously Interlocked Lagrange Multiplier (SILM). For general backgroundon dual annihilators and constraint duality in linear settings, see [5, 6].The stabilizer of the SILM induces an internal symmetry groupwhose structure depends on the resolution scale, naturally producingsymmetry plateaux separated by transition regimes.This boundary–first perspective explains why internal symmetriesare robust within certain resolution ranges, yet change across oth-ers, without invoking symmetry breaking or additional dynamical as-1sumptions. A simple toy model illustrates how a Standard–Model–likesymmetry structure can arise as a stable finite–resolution plateau.The results suggest that gauge symmetry is not a fundamentalinput of microscopic physics, but a structural consequence of finiteresolution and boundary coherence.