Leynstrinsic Field Theory (LFT) proposes a unified physical framework in which spacetime geometry, gauge structure, and particle mass spectra emerge from a single underlying connectivity field. The theory introduces dimensional crossover dynamics in which the effective spectral dimension flows continuously from four dimensions in the infrared toward two dimensions in the ultraviolet. This dimensional flow provides a natural ultraviolet completion mechanism for gravity and gauge interactions while preserving a classical Einstein–scalar–gauge structure at observable energy scales. Within this framework, geometry is not assumed as a fundamental background but arises as an emergent large-scale limit of connectivity dynamics. The connectivity field governs the structure of spacetime through spectral flow and eigenmode organization. Mass spectra emerge as eigenvalues of the connectivity operator, linking particle properties directly to the underlying connectivity structure. Gauge interactions arise through symmetry structures embedded in the connectivity field multiplet, producing the standard gauge sector through symmetry breaking and dimensional crossover behavior. The framework introduces a dimensional renormalization flow described by the effective dimension equation: dDₑff / d ln μ = −α (Dₑff − 2) with solution: Dₑff (μ) = 2 + (DIR − 2) (μ/μ₀) ^ (−α) This relation drives the effective dimension toward two in the ultraviolet, suppressing divergences and stabilizing the high-energy structure of the theory. As a result, gravitational and gauge interactions remain well-behaved at high energies without requiring additional ultraviolet regulators. The resulting field system yields a unified Einstein–scalar–gauge action describing gravitational dynamics, connectivity field evolution, and gauge interactions within a single coherent theoretical structure. In the infrared limit the theory reproduces classical spacetime geometry, while ultraviolet behavior is governed by dimensional reduction. The work presents the theoretical construction of the connectivity field, the dimensional crossover framework, the governing action and equations of motion, and the implications for ultraviolet structure in gravity and gauge theory. The manuscript represents the first publication of the Leynstrinsic Field Theory program and establishes the foundational mathematical framework for further analysis of ultraviolet completion, particle spectra generation, and dimensional emergence in fundamental physics.
Joquin Leyn Pillay (Wed,) studied this question.