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The String-Canvas Dictionary: A Complete Translation Between String Theory and the Emergence Canvas Model

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Zenodo2026-06-23 更新2026-06-28 收录
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String theory and the canvas model describe the same physical reality in different languages. String theory speaks of ten-dimensional spacetime, vibrating strings, and compactified Calabi-Yau manifolds. The canvas model speaks of ten structural fields, closed wave oscillations, and a pre-geometric canvas where properties are fields. This paper provides a complete, rigorous, bidirectional dictionary between the two frameworks. For every major concept, equation, and result in string theory, we provide its canvas model equivalent with full mathematical justification. For every mechanism in the canvas model, we provide its string theory translation. Discrepancies are addressed head-on: the factor of 1/4 in black hole entropy (information capacity vs. thermodynamic entropy), the absence of holomorphic structure in Yukawa couplings (no supersymmetry requirement), the elimination of the tachyon without supersymmetry (threshold condition vs. GSO projection), the stabilization of moduli without fluxes (Pillar IV attractor dynamics vs. KKLT), the role of D-branes (lattice boundaries), the mechanism of anomaly cancellation (lattice regulator plus Standard Model gauge group, no Green-Schwarz mechanism), and the identification of the string scale with the Planck scale (\alpha' = \ell_P^2). The dictionary reveals that string theory is an effective description of closed wave dynamics on the canvas. The canvas model inherits the validated results of string theory—the Virasoro algebra, the graviton spectrum, anomaly cancellation, and holography—while providing physical explanations for what string theory assumes. Key translations include: · D=10 critical dimension → 10 structural fields (4 geometric + 3 gauge symmetry + 3 geometric property)· The string (Nambu-Goto action) → closed wave on the canvas· The Virasoro algebra → parameterization invariance of the closed wave· The tachyon → eliminated by the threshold condition (Pillar II), not GSO projection· Gauge couplings → modulation strengths from attractor dynamics: g_1^2 : g_2^2 : g_3^2 = 1 : 2/3 : 2/\pi· Yukawa couplings → y_f = \mathcal{N} \cdot \exp(T_0 E_{\text{binding}}) \cdot g_g \cdot P \cdot e^{-\beta\Sigma^2} (no holomorphy)· The number of generations → exactly 3 eigenvectors of the threshold tensor· Moduli stabilization → Pillar IV attractor dynamics (no separate mechanism)· The cosmological constant → \Omega_\Lambda = 3/(3+\sqrt{2}) \cdot (1+\alpha_0) \approx 0.685 (information bound)· The hierarchy → v = 245 GeV from v \propto (H_0 t_P)^{1/4} M_P (cosmological, not SUSY)· Strong CP → \theta = 0 (horizon topology, no axion)· Dark matter → Planck-mass black hole remnants (stable, M \approx M_P/2)· Supersymmetry → not required (falsifiable: discovery of superpartners rules it out) Why this matters: For each major open problem in physics, the canvas model provides a more precise, more falsifiable prediction than string theory. The canvas model has zero dimensionless free parameters in the Machine and two boundary conditions in the State—fewer assumptions than string theory. The two frameworks are not competitors. They are the same theory, described from different starting points. This dictionary makes the correspondence explicit and provides a practical tool for translating results between the two frameworks. Keywords: string theory, canvas model, dictionary, duality, critical dimension, Virasoro algebra, tachyon, gauge couplings, Yukawa couplings, moduli stabilization, cosmological constant, hierarchy problem, strong CP, dark matter, supersymmetry, AdS/CFT, holography, D-branes, anomaly cancellation

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Zenodo
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2026-06-23
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