fifth-dimension-engine

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English

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Translation

Chinese

Fifth-Dimension Engine

WFGY 5.0's core problem-solving tool. Lifts a target into a higher problem-coordinate, then returns a route that can be inspected, attacked, expanded, and tested.

Before you decide, shoot first.

WFGY 5.0的核心问题解决工具。将目标提升至更高维度的问题坐标系，随后返回一条可检查、攻坚、拓展和测试的路径。

决策前，先“射击”。

What This Is

这是什么

The Fifth-Dimension Engine does not just answer. It transforms a target into a route.

Input	Engine Action
Theorem	Produces proof-route structure
Frontier problem	Produces research kernel
Strange theme	Produces mathematical skeleton
Life decision	Produces route map
Product idea	Produces positioning route
Engineering failure	Produces repair path
Meme or absurd target	Produces hidden structure

The output is not a direct answer. It is a route: an inspectable, attackable, expandable structure you can verify, challenge, and refine.

Fifth-Dimension Engine不只是给出答案，它会将目标转化为一条路径。

输入内容	引擎动作
定理	生成证明路径结构
前沿问题	生成研究核心
陌生主题	生成数学框架
人生决策	生成路线图
产品创意	生成定位路线
工程故障	生成修复路径
迷因或荒诞目标	生成隐藏结构

输出并非直接答案，而是一条路径：一个可检查、攻坚、拓展的结构，你可以对其进行验证、质疑和优化。

When to Use

使用场景

Use this skill when you have:

A well-specified problem (use Goal Compiler first if unclear)
A target worth spending time on (trivial problems don't need shooting)
An appetite for structured reasoning (prefer depth over speed)

Use especially for:

Theorem work (formal proofs, mathematical problems)
Strategic decisions (career, startup, major choices)
Research questions (turning ideas into research kernels)
Engineering failures (root cause analysis, repair paths)
Product/positioning work (audience, launch strategy)
Mixed-theme problems (combining unrelated ideas into research)

当你遇到以下情况时使用该技能：

问题定义明确（若不清晰，请先使用Goal Compiler）
目标值得投入时间（琐碎问题无需“射击”）
倾向于结构化推理（更看重深度而非速度）

尤其适用于：

定理研究（形式化证明、数学问题）
战略决策（职业、创业、重大选择）
研究问题（将想法转化为研究核心）
工程故障（根因分析、修复路径）
产品/定位工作（受众分析、发布策略）
混合主题问题（将不相关的想法整合为研究课题）

How to Use

使用方法

Basic Command

基础指令

shoot + [your problem]

shoot + [你的问题]

The Engine Returns

引擎返回内容

A structured route containing:

Route: The core strategy or path forward
Structure: Decomposition into sub-problems
Candidate Lemmas: Supporting proofs, insights, or evidence
Objections: What could go wrong, counterarguments
Open Debt: What remains unresolved
Next Command: What to do next (for theorem work: a new Lean line; for other work: next investigative step)

包含以下部分的结构化路径：

Route：核心策略或前进路径
Structure：分解为子问题
Candidate Lemmas：支撑性证明、见解或证据
Objections：可能出现的问题、反驳论点
Open Debt：尚未解决的问题
Next Command：下一步操作（针对定理研究：新的Lean代码行；针对其他工作：下一步调查步骤）

Why This Matters

重要性

Instead of:

A flat answer (right or wrong, you can't inspect it)

You get:

A structure you can examine
Sub-claims you can verify independently
Attack surfaces (where to challenge it)
Expansion points (where to dig deeper)
Clear open questions (what's not yet resolved)

替代：

扁平化答案（对错难辨，无法检查）

你将获得：

可审视的结构
可独立验证的子论点
可质疑的切入点
可深入挖掘的拓展点
清晰的未解决问题

Interaction with Other Skills

与其他技能的交互

With Polaris Goal Compiler

与Polaris Goal Compiler配合使用

Goal Compiler specifies and atomizes the problem
Fifth-Dimension Engine produces the route
Goal Compiler's verification gates validate the engine's output

Integration: After Goal Compiler breaks work into atoms, use the engine on each atom that requires structured reasoning.

Workflow:

Goal Compiler compiles the problem into task atoms
For each atom, ask: "Do I need to shoot this, or is it routine?"
If routine: execute directly
If complex: shoot it with Fifth-Dimension Engine
Use Goal Compiler's verification gate to check the output
Move to next atom

Goal Compiler：明确并拆分问题
Fifth-Dimension Engine：生成路径
Goal Compiler的验证门：验证引擎输出

整合方式：在Goal Compiler将任务拆分为原子任务后，对每个需要结构化推理的原子任务使用本引擎。

工作流程：

Goal Compiler将问题编译为任务原子
对每个原子任务提问：“我需要对它进行‘射击’，还是按常规处理？”
若为常规任务：直接执行
若为复杂任务：使用Fifth-Dimension Engine进行“射击”
使用Goal Compiler的验证门检查输出
处理下一个原子任务

With WFGY-Method (Drift Control)

与WFGY-Method（漂移控制）配合使用

Fifth-Dimension Engine produces structured reasoning
WFGY-Method keeps that reasoning aligned with the original goal

Integration: While the engine explores the route, WFGY-Method checks: "Are we still solving the original problem, or have we drifted into a different one?"

Use the engine for depth, WFGY-Method for direction.

Fifth-Dimension Engine：生成结构化推理
WFGY-Method：确保推理与原始目标保持一致

整合方式：当引擎探索路径时，WFGY-Method会检查：“我们是否仍在解决原始问题，还是已经偏离到其他问题上？”

使用引擎获取深度，使用WFGY-Method把控方向。

Modes

模式

Theorem and Formal Work

定理与形式化研究

Shoot a theorem or formal problem; the engine returns a proof-route structure that can be checked against a formal verification standard.

对定理或形式化问题进行“射击”，引擎会返回符合形式化验证标准的证明路径结构。

Mixing Themes

主题混合

Give the engine two unrelated themes and let it find the mathematical skeleton underneath them:

shoot + [theme 1] + [theme 2]

See

references/research-kernel-extraction.md

for how mixed themes become research kernels.

向引擎输入两个不相关的主题，让它找出背后的数学框架：

shoot + [主题1] + [主题2]

请参阅

references/research-kernel-extraction.md

了解混合主题如何转化为研究核心。

Everyday Problems

日常问题

The same engine works on ordinary decisions, work problems, product questions, and engineering failures -- any well-specified target benefits from being shot into a route rather than answered directly.

同一引擎可应用于普通决策、工作问题、产品疑问和工程故障——任何定义明确的目标，转化为路径而非直接给出答案都会更有价值。

Verification

验证

The engine output is inspectable, which means verifiable. See

references/route-inspection-guide.md

for how to inspect, attack, and verify a route.

This is not: a black box. You can (and should) inspect, attack, and refine.

引擎输出可检查，意味着可验证。请参阅

references/route-inspection-guide.md

了解如何检查、质疑和验证路径。

这不是：黑箱。你可以（也应该）对其进行检查、质疑和优化。

What This Is Not

这不是什么

This skill does not:

Specify the problem (that's Goal Compiler)
Control drift during execution (that's WFGY-Method)
Produce a final answer (it produces a route, which you then verify and decide on)
Guarantee the route is correct (inspection and verification are your job)
Claim every shoot becomes a final theorem (a shoot creates a structured route; final proof, empirical truth, or real-world correctness depends on verification, review, formalization, or testing)

该技能不会：

定义问题（这是Goal Compiler的工作）
执行过程中控制漂移（这是WFGY-Method的工作）
给出最终答案（它生成路径，随后由你验证并决策）
保证路径正确（检查和验证是你的职责）
声称每次“射击”都会成为最终定理（“射击”生成结构化路径；最终证明、经验真理或现实世界的正确性取决于验证、评审、形式化或测试）

References

参考资料

See

references/

directory for:

```
route-structure.md
```
-- what a route is and how it is structured
```
research-kernel-extraction.md
```
-- turning ideas into research kernels
```
route-inspection-guide.md
```
-- how to verify and attack a route
```
skills/polaris-protocol/SKILL.md
```
-- the Polaris Protocol tree root and state machine

请查看

references/

目录中的以下文件：

```
route-structure.md
```
—— 路径的定义及结构
```
research-kernel-extraction.md
```
—— 如何将想法转化为研究核心
```
route-inspection-guide.md
```
—— 如何验证和质疑路径
```
skills/polaris-protocol/SKILL.md
```
—— Polaris Protocol的树状根节点和状态机