The Convergence of an Infinite Domain, the Establishment of an Origin Reference Position, and the Generation of Elements
Year: 2025
Type: article
Abstract: This work develops an abstract framework for rethinking the classic question “Why is there something rather than nothing?” not from already-given discrete objects, but from a prior infinite domain and the structures that make “elements” possible. Instead of assuming that the world is fundamentally a collection of independent things to which relations are later added, the paper starts with an undivided infinite domain Ω and shows how an origin reference position and discrete elements can be generated step by step. First, a family of convergence operators {C_ε} is introduced to model multi-scale “compress-and-redraw” behaviors on Ω. Under a suitable topology, this family converges to a global contraction point o, interpreted as an origin reference position: a multi-scale superposition center where, under finite observational resolution, many differences are flattened into the experiential impression that “everything begins here”. A referentialization map κ: Ω → ℝⁿ then encodes deviations with respect to this origin, so that each finite reference vector corresponds to a large and complex preimage in Ω. Finally, a partial designation–response operator E: D ⊂ ℝⁿ → 𝒰 maps selected, structurally “open” reference values into a universe of elements 𝒰. In this framework, elements are not primitive building blocks but emergent outcomes of the structural chain Ω ⟶ {C_ε} ⟶ o ⟶ κ ⟶ ℝⁿ ⟶ E ⟶ 𝒰. The paper argues that, in this precise sense, “the finite contains the infinite” is not merely a poetic slogan but a structural and ontological necessity.
Author: Chen, Chris(陈奥)
Language: English
Subfield: Experimental and Cognitive Psychology
Field: Psychology
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7105811392
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