This record contains an early preprint draft of a research paper on the intrinsic fields of fundamental particles. Conventional frameworks of physical interactions inherently rely on bipartite descriptions, necessitating static central fields to govern conservative forces. This paper demonstrates such a dichotomy becomes physically redundant within the complexified Euclidean space Cl₄(ℂ). By analyzing continuous temporal kinematics, this work proves fundamental interactions can be modeled exclusively through purely axial fields. Crucially, accepting this strictly axial nature allows historically axiomatic quantum properties to naturally emerge as direct kinematic consequences of the underlying spacetime topology.Within electrodynamics, the model analytically deduces an intrinsic magnetic field for fermions, establishing it as the fundamental kinematic origin of the Coulomb interaction. This field's topology naturally yields spin magnitude and its quantization direction. Interacting with the continuous spacetime kinematics of a charged particle, it analytically generates an effective potential. At the non-relativistic observability boundary, the fine-structure constant (α) deterministically emerges as the geometric ratio between the induced centrifugal barrier and the classical Coulomb term. In the relativistic regime, the resulting kinematics rigorously extract the leading-order anomalous magnetic moment correction (α/2π) without resorting to quantum vacuum fluctuations. Applied to bound states, substituting the classical central electric field with the proton's intrinsic magnetic field resolves the hydrogen atom's stability. Dipole coupling within this magnetic gradient triggers a kinematic equilibrium exactly recovering energy-level quantization and its inherent spin degeneracy. Extended to gravity, a dipolar model of the intrinsic gravitomagnetic field yields an angular momentum exactly recovering fermionic spin (ħ/2) at the quantum limit. Notably, balancing this field's repulsive gradient against the relativistic attraction of incident radiation deterministically derives the Compton horizon as a strict spatial equilibrium. Furthermore, the wave-like behavior of particles is fully preserved. The kinematic framework inevitably models the quantum phase as a latent rotation bound to the particle's continuous spacetime kinematics. Under relative motion, the relativity of simultaneity strictly projects this internal phase into a spatial gradient, emulating the de Broglie matter wave behavior. Consequently, wave-particle duality is intrinsically resolved as an inevitable consequence of the spacetime architecture.Finally, the macroscopic dichotomy between electromagnetism and gravity is investigated. Unlike electromagnetism, the intrinsic gravitomagnetic field lacks a stress tensor to store spatial angular momentum. This physical asymmetry naturally forces the framework's mathematics to diverge from its electromagnetic counterpart, deterministically yielding the Schwarzschild effective potential and secular perihelion advance, thereby proving observational consistency also for non-rotational couplings.
Domenico Sgro (Sun,) studied this question.