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The Emergence Canvas Framework: A Finite-Parameter, Forward-Calculating Programme for Fields, Thresholds, and Localized Particles

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Zenodo2026-08-15 更新2026-08-20 收录
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What This Paper Does This paper formulates the Emergence Canvas Framework as an incomplete, finite-parameter programme for connecting a compact pre-geometric ontology to local quantum field theory. It does not claim to have derived the Standard Model from first principles. Instead, it answers three progressively stronger questions: (i) Can a compact primitive ontology be represented by a coherent local field theory?(ii) Does that field theory possess localized, stable excitations and a finite parameter count?(iii) After a finite calibration, does it calculate additional observables without further adjustment? The paper answers the first two questions constructively and provides explicit forward maps for parts of the third. The Architecture The foundation consists of eight primitive concepts and four dynamical pillars. The primitives specify order, amplitude, acceleration, polarity, chirality, dimension, angle, and charge. The pillars specify wave propagation, threshold activation, spectral organization, and attractor selection. These postulates define the research architecture; they do not by themselves fix a unique low-energy action. To make the framework operational, the paper constructs an explicit Lorentz-invariant effective field theory containing a compact Abelian connection, a Dirac carrier, a complex order parameter, and a threshold mediator. The scalar sector has a bounded potential and a nonempty region supporting Q-ball-type localized solutions. Eliminating an auxiliary threshold mediator generates a factorized rank-one interaction comprising a selective four-fermion term, an open–closed reciprocal coupling, and threshold feedback. After canonical normalization the minimal one-species realization contains one cutoff scale and eight dimensionless constitutive parameters. Its isolated scalar soliton sector compresses to three observable combinations. A complementary reciprocal lattice model gives an exact one-voxel bound-state condition 1 = (Q/2) g(\varepsilon), and therefore a forward-calculable bound-state curve E_b(Q) = -\varepsilon(Q). Voxel projection fixes the microscopic source support, and the product threshold projects the linear source onto the symmetric carrier channel. Reciprocal return and pole formation are the same spectral equation; consequently they determine the curve but not a unique value of Q. The presently specified energy contributions are monotone in Q on the stable interval 0 < Q < 9, so Q is retained as one finite constitutive input in this sector. For contact and collider phenomenology the paper defines a minimal-flavour-violating fermion portal. A propagating scalar realization has the parameter set \{M_X, \kappa\} and predicts all fermionic widths and loop-induced gluon and photon channels. In particular, the ratio \Gamma_{\gamma\gamma}/\Gamma_{gg} is independent of \kappa and is a forward prediction once the pole mass is known. Multiple scalar poles require one portal matrix element per pole unless a common residue or overlap theorem is supplied. The resulting theory is deliberately finite rather than parameter-free. It calculates continuous families of masses, radii, energies, widths, branching fractions, scattering effects, and stability boundaries from a declared finite input set. Its principal unresolved bridge is the derivation of the physical inverse propagator, pole spectrum, residues, and Standard Model operator assignments from the primitive architecture. Why This Matters The Emergence Canvas Framework is not a completed theory of everything. It is an incomplete unification programme with a finite parameter count, explicit forward maps in multiple sectors, and clear falsification criteria. It is designed to be scientifically generative: once a finite set of parameters is calibrated, it predicts correlations, branching ratios, localized states, and stability thresholds without further adjustment. The paper states an explicit calibration/holdout protocol and falsification criteria by which this incomplete unification programme can be evaluated. It distinguishes four provenance classes (Postulated, Derived, Conditional, Calibrated) and applies them consistently. It identifies the principal open bridge: deriving the renormalized inverse propagator and portal current from the primitive architecture, which would convert the present finite-parameter realizations into a common Canvas spectrum. The framework is a coherent, finite-parameter, forward-calculating programme. It is not parameter-free, and no parameter-free claim is required for its scientific use. The appropriate classification is: incomplete, finite-parameter, forward-calculating unification framework. Keywords: canvas framework, finite-parameter, forward-calculating, QFT realization, threshold mediator, Q-ball localization, reciprocal lattice, fermion portal, incomplete unification, calibration protocol

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Zenodo
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2026-08-14
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