Two New Scalar Bosons at 345 and 518 GeV: A Falsifiable Prediction of the Emergence Canvas Model

This paper presents a falsifiable prediction of the Emergence Canvas Model: two new scalar bosons with masses m_1 = 345 \pm 17 GeV and m_2 = 518 \pm 26 GeV. What the model predicts: The masses follow from the resonance mechanism of the canvas model. The four dynamic primitives—Order, Amplitude, Acceleration, and Polarity—have periods forced to be \{5,3,2,7\} times the Planck time by the synchronization axiom. The canvas period is T_{\text{canvas}} = 210\tau. Connected dynamic subsets with least common multiples 105 and 70 are resonant modes. The model predicts mass ratios, not absolute masses. Using the top quark—the heaviest known fundamental particle, corresponding to the maximal lcm=210 resonance—as the reference scale, the ratios are 210/105 = 2 and 210/70 = 3, giving: m_{105} = 2m_t = 345 \pm 17 \text{ GeV}, \quad m_{70} = 3m_t = 518 \pm 26 \text{ GeV} Why this matters: The two particles have fundamentally different primitive content. The 345 GeV particle (S_{105}) contains the Amplitude primitive (P2), which is also the primary constituent of the Higgs boson. This gives it tree-level mixing with the Higgs—it is a heavy Higgs-like scalar. The 518 GeV particle (S_{70}) lacks P2 and has no tree-level Higgs coupling—it is a gauge singlet. This structural distinction is the most robust prediction of the model. It follows directly from the primitive assignments and does not depend on the precise value of the mixing angle or the absolute mass scale. Experimental signatures: · S_{105} (345 GeV): Produced via gluon fusion, decays to WW, ZZ, and b\bar{b}. Potentially discoverable at the HL-LHC in the ZZ \to 4\ell channel if the mixing angle \sin\theta_{105} \sim 0.1-0.3. If \sin^2\theta \ll 0.01, it may be invisible at the HL-LHC.· S_{70} (518 GeV): A gauge singlet, invisible at colliders in the minimal scenario, and a viable dark matter candidate. Its discovery with tree-level Higgs couplings would falsify the model. Falsifiability: · Exclusion of the 345 GeV mass window (328–362 GeV) without discovery in dedicated ZZ \to 4\ell searches would falsify the model if the mixing angle is within the estimated range.· Discovery of a 518 GeV scalar with tree-level Higgs couplings (e.g., decaying to WW or ZZ) would falsify the model.· Discovery of a scalar at either mass with properties inconsistent with the predicted primitive content (e.g., S_{105} with dominant fermion decays, or S_{70} with tree-level Higgs couplings) would falsify the model. What this paper is: A pure, falsifiable prediction of the Emergence Canvas Model. The particles explain no currently observed experimental anomaly. Their value lies in their specificity and testability at the HL-LHC. Keywords: emergent canvas model, scalar bosons, Higgs mixing, gauge singlet, dark matter, HL-LHC, falsifiable prediction, resonance mechanism, lcm spectrum