The Global ER=EPR Conjecture at the Planck Scale and the Cross-Scale Spacetime Topology Evolution Model

Taking the universal generalization of the ER=EPR conjecture as the core working hypothesis, combined with the fundamental physical boundary where classical local spacetime fails at the Planck scale, this paper proposes through rigorous logical deduction that the equivalence between quantum entanglement and microscopic wormholes at the Planck scale must manifest as a globally connected entangled wormhole network, rather than a discrete two-body correspondence structure under the background of classical spacetime. This network is not merely a transient structure existing in the very early universe, but the quantum substrate of spacetime running through the entire evolutionary process of the universe. This paper establishes a phenomenological framework of topological quantization. It presents the effective topological Hamiltonian at the Planck scale, the critical condition for first-order topological phase transition, the integral correspondence relation between global entanglement entropy and wormhole area, and the coarse-graining emergence formula of classical spacetime. A complete cross-scale evolutionary sequence is constructed, ranging from symmetric fluctuations at the Planck scale, first-order topological phase transition, successive symmetry breaking of force interactions, the birth of matter particles, to the formation of macroscopic cosmic structures. It clarifies that gravity is the macroscopic deformation effect of spacetime topology, while dark matter and dark energy are intrinsic products of topological collapse and topological stretching respectively. This paper further demonstrates that the Planck-scale cores of all black holes in the present universe maintain topological connectivity through this global network. The "Big Bang singularity" and "central singularity of black holes" in traditional general relativity can be reconstructed uniformly as two manifestations of the same topological phase transition node, offering a self-consistent theoretical route to resolve the physical pathology of classical singularities and the black hole information paradox. On this basis, three tiers of falsifiable observational predictions are put forward, covering multiple test dimensions including primordial gravitational waves from the very early universe, high-redshift supermassive black holes, black hole spin correlations, and high-energy photon dispersion. This model provides a concise, self-consistent and testable new theoretical route for the research of quantum gravity and the very early universe. 本文以 ER=EPR 猜想的普适性推广为核心工作假设,结合普朗克尺度经典局域时空失 效的基本物理边界,经过严格的逻辑推演,提出普朗克尺度下量子纠缠与微观虫洞的 等价性必然表现为全域连通的纠缠虫洞网络,而非经典时空背景下离散的两体对应结 构。该网络并非仅存在于极早期宇宙的瞬态结构,而是贯穿宇宙演化全过程的时空量 子基底。 本文建立了拓扑量子化的唯象框架,给出普朗克尺度有效拓扑哈密顿量、一级拓扑相 变临界条件、全域纠缠熵与虫洞面积的积分对应关系、经典时空的粗粒化涌现公式; 构建了从普朗克尺度对称涨落、一级拓扑相变、逐级作用力对称破缺到物质粒子诞 生、宏观宇宙结构形成的完整跨尺度演化时序,明确引力是时空拓扑的宏观形变效 应,暗物质与暗能量分别是拓扑坍缩与拓扑舒展的本征产物。 本文进一步论证:当前宇宙中所有黑洞的普朗克尺度内核均通过该全域网络保持拓扑 连通,传统广义相对论中的“宇宙大爆炸奇点”与“黑洞中心奇点”可统一重构为同一拓扑 相变节点的两种表现形式,为消解经典奇点的物理病态与黑洞信息悖论提供了自洽的 理论路径。在此基础上,本文提出三级可证伪观测预言,覆盖极早期原初引力波、高 红移超大质量黑洞、黑洞自旋关联、高能光子色散等多个检验维度。该模型为量子引 力与极早期宇宙研究提供了一条简洁自洽、可检验的新理论路径。 作者:张洪海