The Holographic Circlette: Unifying the Standard Model, Gravity, and Cosmology via Error-Correcting Codes on a Fisher-Information Lattice

We propose a unified physical framework in which the Standard Model fermion spectrum corresponds to the set of valid codewords of an 8-bit quantum error-correcting code defined on a holographic lattice. Four local constraints select exactly 45 valid matter states from 256 possibilities. The dynamics are governed by a unique update rule - a CNOT gate at the bridge-isospin boundary - identified as the weak interaction. From this information-theoretic foundation, we derive: gravity as the curvature of the Fisher information metric; special relativity as a bandwidth constraint on the computational substrate; the cosmological constant as the vacuum information floor; and a resolution of the black hole information paradox via computational phase transition at the horizon. We demonstrate that the vacuum Fisher information Fvac(a) is not static but evolves due to competing effects of constraint establishment and matter dilution, yielding a dynamic dark energy model Fvac(a) ∝ aα exp(-β\, aγ) that matches DESI DR2 observations to within 1.5%. The mass hierarchy is explained through lattice criticality, with the Koide relation for charged lepton masses emerging from the Z₃ symmetry of the generation sector. The framework reinterprets pair production (the Schwinger effect) as dielectric breakdown of the error-correcting code, and predicts exactly three sterile neutrinos as pseudocodewords of the lattice. We further show that the continuous wave equations of quantum mechanics are not fundamental but emergent. The 1+1D Dirac equation is derived exactly as the continuum limit of a discrete quantum walk whose coin operator is the CNOT gate. The Dirac mass term mc²σₓ is literally the Pauli-X operator - the Boolean NOT gate acting on the isospin bit I₃. Rest mass is the CNOT execution frequency. The complex structure of quantum mechanics (the imaginary unit i) is forced by the unitarity requirement of a reversible Boolean swap. The Schr\"odinger equation follows as the non-relativistic limit. Leptons ($LQ=0$), which bypass the CNOT entirely, propagate as massless Weyl fermions at c in the bare theory. The lattice does not obey quantum mechanics. Quantum mechanics obeys the lattice.