From One as Boundary to Minus as Depth

Abstract This paper constitutes the seventh step in a series that progressively reorders the ontological and formal grammar of physics and related numerical thought. The earlier papers fixed occurrence, or boundary-occurrence, as the sole primal assumption, positioned Sunoh as the higher generative structure following it, reinterpreted physical constants as compressed reference values rather than primal terms, reread zero as non-capture rather than nothingness, introduced @ as the sign of residual non-null continuity, distinguished resultant time from causal time, relocated measurable physics and the Hilbert action within a generative-projective framework, and reformulated variational principle, Yang-Mills theory, and the mass gap problem through the grammar of @-residual settlement 1-6. The present paper turns inward and reopens the ontology of number itself, arguing that the inherited neutrality of numerical signs can no longer be maintained once the earlier ontological displacements have already been made. The central thesis of the paper is that one is not merely the first unit of counting, but the first sign of boundary-captured being. From this follows a generative asymmetry in numerical direction. Plus and minus cannot remain merely symmetrical algebraic signs. Plus is reread as the direction of divergence, amplification, disclosure, and emissive outward articulation, while minus is reread not as lack or negation, but as the direction of depth, convergence, retention, and inward binding. On this basis, infinity itself must be split into divergent infinity and depth infinity. The infinity associated with plus is the infinity of surface proliferation and unending outward extension, whereas the infinity associated with minus is the infinity of uncapturable inward depth rather than mere negative unboundedness. Within this framework, zero can no longer function as the primary internal origin of the system. Zero is displaced from ontological primacy and restricted to the role of null- marking, local non-registration, and surface closure. By contrast, @ is elevated from an auxiliary distinction into a general sign of residual generativity, threshold continuity, and non-collapsed persistence. The paper further argues that exponentiation cannot remain ontologically neutral: positive power intensifies divergence, while negative power intensifies depth. Distinct numerical forms such as n, nⁿ, and n^-n may therefore differgreatly in explicit arithmetic appearance while still requiring comparison at the level of generative flow-character rather than only surface magnitude. The paper then extends this numerical ontology into measurable physics. Energy is reread as the surface flow of divergence, while mass is reread as the surface stability of depth. Thus mass and energy are not treated as independent primal terms, but as differentiated measurable expressions of the same generative field reopened numerically. Finally, the paper reformulates minimal stable unit not as primitive objecthood, but as locally stabilized capture-event. Capture is not brute seizure of what is already complete; it is the boundary event through which deeper order becomes minimally holdable, measurable, and one-like without collapsing into either nullity or false self-sufficient closure. In this context, particle- like identity, including electron-like identity, is approached not first as pre-given substance but as minimal stable capture-mode. The paper concludes by gathering its claims into a set of quasi-formal propositions and generative expressions. It does not claim to offer a completed axiomatic system or a closed physical theory. Rather, it defines itself as an open formalization and a structured research program. Its main contribution lies in reopening number as generative ontology and in showing that the distinction among one, plus, minus, infinity, zero, @, mass, energy, and minimal unit belongs to a single directional and boundary-conditioned architecture. In this way, the paper seeks to transform number from a supposedly neutral formal syntax into one of the first visible surfaces on which generative order becomes legible.