Version-ready description This record presents a structurally explicit academic formulation of the manifold-tension program in arc geometry. The purpose of the present release is to state the conceptual architecture of arc theory in a form suitable for rational communication with established mathematical and theoretical-physics language, while preserving the distinct internal content of the framework. Overview The manuscript proposes that gravitational, weak, and electromagnetic responses may be interpreted as sectoral manifestations of a common manifold-tension substrate, organized in arc-geometric terms. The construction is built from two structurally related bases, called the energy base and the mass base, together with a 2+1 projection principle. Within this setting, a 4: 12 partition of a total temporal count 16 yields a baseline ratio χw=14, ₖ = 14, χw=41, which is interpreted as a geometric electroweak reference value rather than as a complete derivation of the renormalization-scheme and scale-dependent weak mixing angle of standard quantum field theory. What this version contains This version presents the manifold-tension interpretation in a more rigorous academic format by explicitly separating: structural postulates projection rules response ansätze toy models interpretive claims The paper includes: a structural formulation of dual sectoral bases (energy base and mass base) ; a projection rule leading to the 4: 12 partition; a logarithmically normalized operator-overlap ansatz for a gravitational response modulus; a boundary-confinement toy model in which discrete geometric mass scales arise from localized Dirichlet conditions; a section on interpretive scope, present limitations, and falsification criteria. Academic positioning This work is not intended as a polemical rejection of established science. Rather, it is an attempt to present the arc-geometric program in a form consistent with high-standard mathematical and theoretical-physics exposition. In particular: The 4: 12 split is presented as the output of a projection rule, not as the unconstrained minimizer of the auxiliary reference functional. The gravitational overlap formula is stated as an ansatz for a response modulus, not as a completed operator-theoretic derivation of Newton’s constant. The mass-emergence construction is stated as a toy boundary-confinement model, not as a full spectral theory of matter. The intention is therefore to make the current status of the manifold-tension program explicit, discussable, and open to scrutiny. Current status of claims The present release should be read as a geometric research program rather than as a finalized replacement for established field-theoretic or gravitational frameworks. Its main contribution lies in clarifying the mathematical status of its components and in formulating the resulting relations in a way that allows critical examination and future development. Citation note If citing this work, please cite the specific Zenodo version DOI corresponding to the version you used. Zenodo also provides a concept DOI covering all versions of the record. Version note This release supersedes earlier versions by providing: a stricter separation between definitions, assumptions, propositions, and interpretive remarks; a more disciplined academic tone; an explicitly delimited statement of limitations and falsification criteria.
Frank F. (Arcman) Meng (Sat,) studied this question.