Spatial-Pressure Gravitational Theory (SGT)

空能引力理论 (Spatial-Pressure Gravitational Theory)

Status: Active & Exponentially Iterating | Protocol: IPSTP & ZKAV Compliant
Author: Li Zhijun (李志军)
ORCID: 0009-0004-8456-7107
Website: https://sgt.ac.cn
Contact: lizhijun@yuantai.ac.cn | zhijundi@qq.com

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🌌 Abstract / 摘要

The Spatial-Pressure Gravitational Theory (SGT) is a self-consistent, fundamental theory of gravity based on an elastic medium ontology. It postulates that the vacuum is not empty but filled with a continuous, elastic "spatial-energy medium." Matter acts as a local topological defect that stretches the medium, and gravity is the tension gradient (pushing force) generated by this stretching.

SGT does not modify the mathematical formalism of General Relativity (GR) in the weak/medium field; rather, it provides a physical medium interpretation for it. In the strong-field regime, SGT introduces a dynamic modulation of the effective gravitational constant ($G_{\text{eff}} = G \cdot \chi$), which naturally eliminates singularities in both black holes and cosmology, and yields unique, highly falsifiable predictions for next-generation observatories.

空能引力理论（SGT）是一套基于弹性介质本体论的自洽、基础引力理论。该理论提出：真空并非虚无，而是由连续的弹性“空能介质”填充。物质是介质中的局域拓扑缺陷，引力则是介质被撑开后产生的张力梯度（推力）。

SGT 在弱/中场不修改广义相对论（GR）的数学形式，而是为其提供物理介质解释。在强场区，SGT 引入有效引力常数的动态调制（$G_{\text{eff}} = G \cdot \chi$），在经典层面统一消除了黑洞与宇宙学奇点，并为下一代天文观测提供了独特的、可证伪的硬核预言。

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🧬 Core Ontology / 核心本体论

• The Medium & Order Parameter: The state of the medium is governed by the stretching parameter $f$ and the stiffness order parameter $\chi(f) = \frac{1-f}{1+f^2}$.

• Effective Gravitational Modulation: $G_{\text{eff}}(r) = G \cdot \chi(r)$.

• Non-Emptiability: The constraint $f \le 1$ guarantees $\chi \ge 0$, physically truncating singularities where GR fails.

• 介质与序参量：介质状态由撑开度 $f$ 和刚度序参量 $\chi(f) = \frac{1-f}{1+f^2}$ 控制。

• 有效引力调制：$G_{\text{eff}}(r) = G \cdot \chi(r)$。

• 不可排空性：约束 $f \le 1$ 保证了 $\chi \ge 0$，在物理上截断了 GR 失效处的奇点。

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🚀 Major Milestones / 最新理论里程碑

Document ID	Title / 标题	Core Contribution / 核心贡献
SGT-012	Flagship Manifesto (旗舰总纲)	Establishes the medium ontology, Non-Emptiability theorems, and cosmological singularity resolution.
SGT-016	CH Series & Rigidity Hierarchy (结构刚性)	Rigorously proves a 3-tier rigidity hierarchy under metric perturbations: Horizon ($\varepsilon^0$), ISCO ($\varepsilon^2$), Photon Sphere ($\varepsilon^1$).
SGT-017	Black Hole Physics & LEMA (黑洞物理)	Proposes LEMA. Discovers the 86% suppression of ISCO rotational inward shift due to $G_{\text{eff}}$ negative feedback.

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🔭 Unique Falsifiable Predictions / 独家硬核预言

1. ISCO Inward Shift (Static): $r_{\text{ISCO}} = 4.23M$ (GR: $6.00M$).
2. Rotational Suppression (86%): $C_1^{\text{SGT}} = -0.466$ vs $C_1^{\text{Kerr}} = -3.266$.
3. Gravitational Wave Echoes: Delay $\sim 14.3M$ due to reflection at the "frozen front".
4. Cosmological Singularity Resolution: Finite initial Hubble parameter $H(0) = 1.023 \times 10^{-1}$.

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🛡️ Methodology Protocols / 方法论协议

To balance academic disclosure with the strict protection of core derivations, this repository operates under two proprietary protocols:

1. IPSTP (Intellectual Property Spatiotemporal Proof Protocol)

SGT papers are published under the IPSTP framework, transforming theoretical releases into a judicially reviewable spatiotemporal evidence chain.

• Layer A (Fact Disclosure): Fully public (Conditions $C$ and Conclusions $Y$). Establishes the verifiable public fact occurrence point.
• Layer B (Generation Constraints): Described but not implemented publicly (Convergence rules, invariants). Ensures logical reproducibility without exposing algorithms.
• Layer C (Implementation): Fully retained. Submitted only for judicial/arbitration review if disputes arise.
• Legal Effect: Once $C+Y$ is archived, the "condition space" is contaminated (Prior Art established). Any subsequent similar conclusions trigger the Evidentiary Inference State, shifting the burden of proof to the latercomer.

2. ZKAV (Zero-Knowledge Academic Verification)

SGT invites mainstream institutions to initiate "blind calculation challenges." SGT independently computes observables without revealing internal field equations, allowing the requester to verify results against their own GR frameworks.

为平衡学术披露与核心推导保护，本仓库遵循两项协议：

1. IPSTP（知识产权时空证明协议）

将理论发布转化为可司法审查的时空证据链。

• Layer A（事实披露层）：完全公开（条件 $C$ 与结论 $Y$），确立可验证公开事实发生点。
• Layer B（生成约束层）：描述但不公开实现（收敛规则、不变量），确保逻辑可审查但不暴露算法。
• Layer C（实现层）：完全保留，仅在司法/仲裁争议时定向提交。
• 法律效力：一旦 $C+Y$ 存档，条件空间即被“污染”（Prior Art 成立）。后续相似结论将触发证据推断状态，举证责任倒置给后来者。

2. ZKAV（零知识学术验证）

邀请主流机构发起“盲算挑战”，在不公开底层方程的前提下证明预测能力。

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📂 Repository Structure / 仓库结构

The repository is strictly structured according to the IPSTP evidence chain requirements.

/
├── paper/                  # [Layer A: Fact Disclosure] 公开论文与快照
│   ├── SGT-PAPER-012/      # Flagship Manifesto (旗舰总纲)
│   ├── SGT-PAPER-016/      # CH Series & Rigidity (结构刚性)
│   └── SGT-PAPER-017/      # Black Hole Physics & LEMA (黑洞物理)
│
├── manuscripts/            # [Layer B & C: Constraints & Implementation] 
│   ├── constraints/        # [Layer B] 生成约束描述（收敛条件、不变量结构、逻辑框架）
│   ├── core_logic/         # [Layer C] 核心算法与 2+1D PDE 求解器（加密/受控访问）
│   └── README.md           # IPSTP Layer B/C 访问与解密规则说明
│
├── ip/                     # [Spatiotemporal Anchors] 时空锚点与司法证据
│   ├── TSA_Timestamps/     # 可信时间戳认证证书 (PDF) - 外部时间锚定
│   ├── DCI_Certificates/   # 数字版权标识证书 (PDF) - 内容哈希不可篡改证明
│   └── Copyright_Reg/      # 国家版权登记备案文件 (PDF)
│
├── CODE/                   # [Auxiliary] 辅助演算与数据验证代码
│   ├── ode_solvers/        # 球对称背景下的基础 ODE 验证代码
│   └── data_tables/        # 论文中使用的插值数据 (如 χ(r) 数据表)
│
└── README.md               # 本文件 (项目总览与 IPSTP 协议声明)