從幾何溢位探討空間與重力
中文說明
本文探討了對觀測者而言難以復原的結構梯度，在局部可能被表示為距離或度規的可能性。我們不將空間視為固定的背景，而是將其視為由觀測者依賴的簡約（reduction）所產生的關係性結構，並提出其與有效重力的關聯。
本研究的定位
這並非要取代廣義相對論的既定理論。這是一個需要透過數學一致性與觀測預測驗證的研究假說。
原標題： Emergent Metric Structure and Effective Gravity from Geometric Overflow
英文原文
檔案 https://doi.org/10.5281/zenodo.19027042
作者/創作者
描述
In earlier developments of Selection Geometry, geometric overflow was introduced as the part of structure that remains inaccessible under observer-dependent realization. It was proposed as a natural source of local mixedness and irreversibility.
In this paper, we examine the possible spatial expression of that same structure. We argue that gradients of unrecoverable accessibility within the realized sector may generate an effective metric organization: what is harder to access, distinguish, or reconstruct may appear as more distant within the local representation of reality.
On this view, space need not be treated as an externally given background. Instead, it may emerge as a relational geometry produced by observer-dependent reduction.
We further suggest that gravity-like behavior may be understood as an effective geometric response to persistent non-closure, rather than as a primitive interaction assumed from the outset.
This paper does not claim a full derivation of general relativity or a reconstruction of Einstein’s equations. Its aim is more limited: to identify a structural route by which algebraic non-closure and accessibility constraints can give rise to emergent metric structure and effective gravitational behavior.
In this sense, geometric overflow is developed here as a structural bridge from informational asymmetry to spatial form.