Abstract We propose a string-theoretic interpretation of the spectral Hilbert space framework associated with the critical line Re(s)=1/2 of L-functions. Building on a scale-invariant Hilbert space realization of the Mellin transform, we reinterpret the dilation generator as a worldsheet Hamiltonian and identify the critical line with a conformal criticality condition. We further relate the Euler product over primes to D-brane–like boundary sectors and introduce a modular bundle structure derived from the composite-generating formula n = p 2 + 2 p ( d − 1 ) , n = p^2 + 2p(d-1), suggesting an arithmetic brane lattice underlying the spectral geometry of the Riemann zeta function. This work proposes a structural correspondence between analytic number theory and string-theoretic conformal systems, without claiming a proof of the Riemann Hypothesis. 1. Introduction The Riemann Hypothesis, formulated by Bernhard Riemann , asserts that all nontrivial zeros of the zeta function...
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