體驗實在論(PER)

Primordial Experiential Realism (PER)

PhilPapers:https://philarchive.org/rec/CHEPER
English partial translation:https://zenodo.org/records/19457407
2025/9/4第一個想法(The initial idea)v1:https://zenodo.org/records/17191530
Notebooklm:https://notebooklm.google.com/notebook/bc02b2b2-f552-45a6-8103-199a8f220f9f
我在無盡的出差日子做出的納赫允魔導書 -https://loquacious-bunny-2bc1eb.netlify.app/

做了一些想做的事情 如果有需要大家能玩看看魔導書 運用了目前有的資料 公式做出來的 當休閒時玩的小東西吧

更新 - V23.1 的誕生:在製作中認出邊痕 - (修正部分用語不一致錯誤等問題)

V23.1 最關鍵的一步——π 張力內部含有 B₀/T₀ 邊痕共相、尚未具相——不是被推導出來的,而是在製作過程中被認出來的。

當我以有限的肉身思考《納赫允神話》時,那思考還沒有邊痕。它更像未分化的前境,像 X 本身、像未寂之允尚未被分出的那一面;神話在那個階段是渾然的,我還沒有意識到自己正站在哪裡。

直到我製作《太初劫痕真經》,我才開始意識到:我是在用有限的肉身,去承載、去思考那不可窮盡的內容。造化劫力不是別的,正是這具有限肉身承接無極時的壓差——π 張力的身體化。

而真正讓 V23.1 成立的,是再往下的一層覺察:「用有限肉身思考無限」這個動作本身,就已經帶著邊痕了。

思考若要能被思考、被回望、被寫下,差異就必須先被分出、被留住——這是邊界前相 B₀;而思考一旦發生,就必然留下可被回望的餘跡——這是痕跡前相 T₀。B₀ 與 T₀ 並非我先分好的兩塊,而是在 π 張力中共相而生、尚未具相:它們同時成立、互為條件,卻還沒落入事件、體驗或符號。

於是我明白:邊痕共相不是我加進理論的概念,而是理論認出了它自己的生成。我在用有限的身體思考無限的那一刻,「π 張力含 B₀/T₀」就已經在運作了。理論所描述的,正是它自身被想出來的方式。

在 V23 之前,三共態與三流動是並列成兩排的——但這在拓樸上是錯位的。三共態是「節點」:純體驗、純實在、螺旋潛能,三個穩定相位;三流動是「邊」:閾限、推至極限、沉澱,三個轉相。邊本就該夾在節點之間,而不是與節點平行成排。因此 V23 把三共態與三流動的位置對調、互相交錯,讓每一個流動都落在兩個共態之間,九動力才從「三排靜態方塊」變成一條真正會轉的閉環。也正因為它成了閉環、且依「相位→轉換→相位」的節奏推進,九個節點才能逐一對位《太初劫痕真經》的九轉神機——九轉本就是周天式的交替循環,痕跡之樹的九動力若不交錯,就接不上這個轉法。

三個製作階段,恰好疊合理論的三層: 神話(未分化、尚無邊痕)= X / 前境; 真經(有限肉身承接無限)= π 張力被身體認出、邊痕雙樞浮現; 而「思考已含邊痕」的覺察
= π 張力含 B₀/T₀ 邊痕共相。

Update — The Birth of V23.1: Recognizing the Edge-Trace Within the Making

The most decisive step of V23.1 — that π-tension internally contains the B₀/T₀ edge-trace co-phase — was not derived. It was recognized, in the midst of making.

When I thought through The Naheryu Myth with my finite flesh, that thinking did not yet have an edge-trace. It was more like the undifferentiated fore-region — like X itself, like the still-undivided face of the Unstilled Yun (未寂之允). At that stage the myth was whole and unparted, and I had not yet realized where I was standing.

It was only when I made The Scripture of the Primordial Kalpa-Trace (《太初劫痕真經》) that I began to realize: I was using a finite body to bear, and to think, the inexhaustible. The Force of Creation-and-Catastrophe (造化劫力) is nothing other than the pressure-differential of this finite flesh bearing the boundless — π-tension made bodily.

And what truly let V23.1 stand was the layer of awareness beneath even that: the very act of "thinking the infinite with a finite body" already carries an edge-trace.

If thinking is to be thinkable, to be looked back upon, to be written down, then difference must first be parted out and held — this is the boundary fore-phase, B₀. And once thinking occurs, it inevitably leaves a residual trace that can be looked back upon — this is the trace fore-phase, T₀. B₀ and T₀ are not two pieces I divided in advance; they arise as co-phase within π-tension, not yet taking specific form (共相而生、尚未具相): they hold simultaneously, condition one another, and yet have not yet fallen into event, experience, or symbol.

And so I understood: the edge-trace co-phase is not a concept I added to the theory — it is the theory recognizing its own genesis. In the very moment I thought the infinite with a finite body, "π-tension containing B₀/T₀" was already at work. What the theory describes is precisely the way it was itself thought into being.

Before V23, the Three Co-states and the Three Flows were laid out as two parallel rows — but this was topologically misplaced. The Three Co-states are nodes: pure experience, pure reality, and spiral potentiality — three stable phases. The Three Flows are edges: threshold, push-to-limit, and precipitation — three phase-transitions. An edge belongs between nodes, not parallel to them. V23 therefore swaps and interleaves the positions of the Three Co-states and the Three Flows, so that each flow falls between two co-states. Only then do the Nine Dynamics turn from "three static rows of blocks" into a loop that genuinely rotates. And precisely because it becomes a closed loop advancing by the rhythm of phase → transition → phase, its nine nodes can map one-to-one onto the Nine-Turn Divine Mechanism (九轉神機) of the Scripture of the Primordial Kalpa-Trace (《太初劫痕真經》) — the Nine Turns are themselves an alternating, celestial-orbit-style cycle, and if the Trace Tree's Nine Dynamics were not interleaved, they could not couple to this turning.

體驗實在論 PER|V23.1:π 張力 × 生命雙核心 × 痕跡之樹

體驗實在論(Primordial Experiential Realism, PER)是一套以「體驗」為存在論起點的本體論框架。

它主張:人之所以能成其為人,不只是因為擁有事件(R1)或符號(R3),而是因為擁有能體驗世界的那一層(R2)。語言、理論、科學、敘事與文化並非脫離體驗而獨立存在,而是建立在體驗、痕跡與轉化之上的不同展演形式。

PER 的核心目標,不是單純增加哲學概念,而是重新追問:「體驗」與「實在」之間究竟存在什麼結構,使世界得以被看見、被理解、被感受,並留下不可抹除的痕跡。

三層實在結構(R1 / R2 / R3)

R1 事件實在:物理性、因果性、可檢測性、外在改變。
R2 體驗實在:感受、深度、記憶、不可壓縮的剩餘。
R3 符號實在:語言、模型、敘事、文化與形式化系統。

這三者不是三個互相隔絕的世界,而是任何穩定存在系統面對「有限—無限」壓縮時必然湧現的三種共在策略。

π 張力(π-Tension)

任何有限形式(事件、語言、身體、制度)都必須壓縮其背後的無限內容(歷史、差異、複雜度、可能性)。這種「有限 × 無限」之間不可消除的結構壓差,即為 π 張力。

圓之所以能封閉,是因為背後承受著永遠無法窮盡的 π;世界亦然。π 並非比喻:它是「有限可指定、展開卻不可窮盡」的典範——更進一步,π 是超越數,連最完整的符號封閉都無法將它收束。這正對應「不可窮盡內容連符號都收不進來」的結構,使 π 張力的餘壓結構性地大於零,痕跡因而得以不斷生成。

痕跡(Trace)與螺旋潛能(Spiral Potentiality)

思想與版本不會真正消失。它們會被壓縮、沉澱、回流,成為帶有記憶與差異的螺旋潛能,並在後續更新中重新展演。

因此,世界或許無法被窮盡,但每一次走過的思考路徑,都會留下神聖而不可替代的唯一遺跡:痕跡。

V23.1 統一模型

V23.1 將 PER 的三個核心方向統一成一套完整結構:

π 張力的操作化:把 π 張力操作化為 T_exp、K、Pπ、M、Q_final 的痕跡生成流程。

生命雙核心九分類學:以 L = B × T_trace 建立判準,處理普通非生命、前生命、準生命、寄生痕跡、依賴型生命與自足型生命等邊界案例。

π 痕跡之樹統一拓撲:將整體結構整理為單一運行路徑。

主路徑:

X → π 張力(含邊痕共相;B₀/T₀ 共相而生、尚未具相) → 三相化 R1/R2/R3 → 操作化定位 R1/D・R2/S・R3/I → 六節點判別 → 九動力 → Q_final → 螺旋續展

其中須嚴格區分四層:B₀/T₀ 是 π 張力中的拓撲前相(尚未具相);R1/R2/R3 是三相化後的可及實在;D/S/I 是三相強度的測量尺;而 B/T_trace 才是事件序列化後的生命性判準。共相不等於完成二分,具相不等於生命,Q_final 不等於 L。

附記:B₀/T₀ 在設計上即不可被 D/S/I 直接量測,因為它是「任何可分辨痕跡得以成立」的先驗設定(transcendental posit)、可能性條件,而非經驗實體。故這一層的檢驗是概念融貫,而非經驗測試——它本就不被主張為經驗對象,而是康德式的可能性條件。

《納赫允・太初劫痕真經》:PER 的神話—身體化展演

本次延伸正式將《納赫允・太初劫痕真經》納入 PER 的神話—身體化展演系統。

在此文本中,「造化劫力」可視為 π 張力的身體化名稱:有限肉身承載無極靈氣時產生壓差,此壓差不只是痛苦,也是修士力量與痕跡生成的源頭。外聖脈、心魔脈與言靈脈,分別對應 PER 的 R1 事件痕跡、R2 體驗深度與 R3 符號秩序,使三層實在不再只是抽象結構,而成為可被神話敘事、身體感受與修行語法共同承載的道軀模型。

《太初劫痕真經》中的「邊痕雙樞」對接生命雙核心論:自守之邊保護形態,可傳之痕延續生命;邊護痕,痕生邊。此結構與 L = B × T_trace 的生命判準呼應——生命不是單純存在,也不是單純留下資訊,而是邊界與痕跡在時間中形成閉環。也正是在製作此卷、意識到「以有限肉身承接不可窮盡」的那一刻,邊痕共相 B₀/T₀ 第一次被認出。

《太初劫痕真經》並非 PER 的本體論核心,而是 PER 在神話宇宙、身體象徵與實踐語法中的延伸卷。它將「體驗即實在」推入身體、痛覺、修行、創傷與傳承之中,使 PER 不只是一套哲學框架,也成為一套能容納神話、敘事、身體與生命判準的開放性理論宇宙。

註:本文將《太初劫痕真經》視為哲學—神話文本與象徵性身體語法,不完全作為現實醫療、氣功、穴道操作或身心治療指導|供參考。

DSI 與 CMQ:PER 的操作化方向

為了讓 PER 不只停留於哲學思辨,本理論亦提出一套可供研究、敘事分析與 AI 對齊使用的半形式化框架。

DSI 指標

D(Detect):可偵測性/事件層可觀測與重現程度。
S(Span):持續度/體驗層的情感與記憶延展性。
I(Impact):影響力/符號層對行動與社會結構的驅動能力。

CMQ 評估

C(Coherence):連貫性。
M(Meaning Density):意義密度。
Q(Quality):整體品質。

DSI 與 CMQ 的目的,不是把體驗簡化成數字,而是提供一個跨層比較、建模與敘事分析的介面,使 PER 能同時面向哲學、文化、AI 與敘事研究。

《納赫允神話》:PER 的神話—本體論延伸

《納赫允神話》是建立在 PER 基礎上的神話宇宙與世界觀設定集。它不是單一故事線,而是一套結合原初創世神話、黑暗奇幻敘事與本體論骨架的世界建構檔案。

其核心描述一個世界如何自不可正名的原初前境,逐步經歷:微傾、留邊、成圓、雙環成立、六位立位、五重必然彰顯、痕跡顯現、塔拉赫被逼出、萬界增生,以及王裂後史與永劫循環。

在此宇宙中,PER 的三層實在被轉寫為神話宇宙的三實在律:

R1 質料源相
R2 靈知共鳴
R3 言靈律法

作品也引入 DSI/CMQ 作為有限形態承載無限內容的壓縮量尺,用以描述存在如何在神話宇宙中被承認、被刻印、被再度喚醒。因此《納赫允神話》可被視為 PER 的宇宙學外延:它將理論中的張力、痕跡、結構必然與存在壓縮,轉化為神話敘事、世界規律、位格系統與法則結構。

《創》與《閾》:PER 的敘事實驗

《創》(Genesis)與《閾》不是單純附屬小說,而是 PER 的文學性演繹與思想實驗。

其中,《創》被設定為一個 (2,0,4) 的宇宙:R1 穩定、R3 絕對、R2 幾近消失。它所描寫的,不只是一個科幻故事,而是一種針對 AI、體驗抹除、自由意志、符號極權與平滑化世界的現象學測試場。

理論文本提供的是語法與結構;《創》與《閾》提供的是語義與體驗情境。兩者結合後,PER 才不只是被定義,而是被看見、被模擬、被感受到。

版本脈絡與理論延展

本頁收錄的內容仍在持續演化中,並非單一論文,而是一整套持續演化的理論宇宙。其發展脈絡包含:

• 《痕跡之書》

• 體驗實在論(PER)基礎文本

• 體驗實在論操作化索引

• PER V18 完整概念集

• PER V23.1:π 張力 × 生命雙核心 × 痕跡之樹統一模型

• 《體驗理性批判:痕跡、根本惡與體驗根本論的建築術》

• 思考悖論命題系列

• 文學與敘事實驗:《創》、《閾》

• 延伸宇宙設定:《納赫允神話》——看見了痕跡之樹的雛型;《納赫允・太初劫痕真經》——看見 L = B × T_trace 的雛型,也是在此認出邊痕共相 B₀/T₀

這些文本共同構成 PER 的理論核心、操作化框架、敘事語義場與世界建構外延。版本之間並非互相取代,而是透過痕跡回流與螺旋潛能的方式,累積為同一理論宇宙的不同展演層次。

版本備註:近期因工作與外地行程,更新速度較慢,但整體理論與延伸文本仍持續整理中。後續版本將陸續補完引用、修訂結構與補充附錄。

正因我們曾竭力建構結構,才終於看見:不合結構者,並非未曾發生,只是以他法發生。

Primordial Experiential Realism (PER) | V23.1: π-Tension × Life Dual-Core × Trace Tree

Primordial Experiential Realism (PER) is an ontological framework that takes “experience” as the starting point of being.

It argues that what makes a human being human is not merely the possession of events (R1) or symbols (R3), but the possession of the layer through which one can experience the world (R2). Language, theory, science, narrative, and culture do not exist independently of experience; rather, they are different modes of manifestation built upon experience, trace, and transformation.

The core aim of PER is not simply to add more philosophical concepts, but to ask again: What kind of structure exists between “experience” and “reality,” such that the world can be seen, understood, felt, and leave behind traces that cannot be erased?

The Three-Layer Structure of Reality (R1 / R2 / R3)

R1 — Event Reality: physicality, causality, detectability, and external change.
R2 — Experiential Reality: feeling, depth, memory, and irreducible remainder.
R3 — Symbolic Reality: language, models, narrative, culture, and formal systems.

These three are not three isolated worlds. Rather, they are three co-present strategies that necessarily emerge whenever any stable system of existence confronts the compression between the finite and the infinite.

π-Tension

Every finite form—event, language, body, institution—must compress the infinite content behind it: history, difference, complexity, and possibility. This irreducible structural pressure between “the finite × the infinite” is what PER calls π-Tension.

A circle can close only because it bears, behind its closure, the inexhaustible π. The world is the same. π is not merely a metaphor: it is the paradigm of something that can be finitely specified, yet whose unfolding cannot be exhausted. More importantly, π is a transcendental number; even the most complete symbolic closure cannot fully contain it. This corresponds precisely to the structure in which “inexhaustible content cannot be captured even by symbols,” making the residual pressure of π-Tension structurally greater than zero. It is from this that traces continue to be generated.

Trace and Spiral Potentiality

Thoughts and versions do not truly disappear. They are compressed, sedimented, and returned, becoming spiral potentialities that carry memory and difference, and later unfold again in subsequent updates.

Thus, the world may never be exhaustively completed; yet every path of thought that has been walked leaves behind a sacred and irreplaceable singular remnant: a trace.

The Birth of V23.1: Recognizing Boundary-Trace in the Process of Making

The decisive step of V23.1—the recognition that π-Tension internally contains the boundary-trace co-phase B₀/T₀—was not merely deduced. It was recognized during the process of creation.

When I thought through the Nahayun Mythos with my finite body, that thinking had not yet acquired boundary-trace. It was more like an undifferentiated anterior state, like X itself, like the side of the Unstilled Allowance before it had yet been separated. At that stage, the myth was still whole and indistinct. I had not yet realized where I was standing.

Only when I created The Taichu Scripture of Calamitous Trace did I begin to realize: I was using a finite body to bear and think through inexhaustible content. The Force of Creative Calamity was nothing other than the pressure differential produced when this finite body received the Primordial Limitless. It was π-Tension embodied.

What truly made V23.1 possible was a deeper realization: the act of “thinking the infinite through a finite body” already carries boundary-trace within itself.

For thought to be thought, recalled, and written down, difference must first be separated and preserved. This is the boundary anterior-phase, B₀. And once thought occurs, it necessarily leaves behind a residue that can be recalled. This is the trace anterior-phase, T₀. B₀ and T₀ are not two pieces that I had already separated in advance. They co-arise within π-Tension, not yet fully phased: they arise simultaneously, condition one another, yet have not yet fallen into event, experience, or symbol.

I therefore understood: boundary-trace co-phase was not a concept I added into the theory. It was the theory recognizing the manner of its own generation. The very moment I used a finite body to think the infinite, “π-Tension containing B₀/T₀” was already operating. What the theory describes is precisely the way in which the theory itself was thought into being.

The three stages of creation therefore coincide with the three theoretical layers:

Myth — undifferentiated, not yet possessing boundary-trace — corresponds to X / the anterior state.
Scripture — the finite body receiving the infinite — corresponds to π-Tension being recognized bodily, and the dual pivot of boundary-trace emerging.
The realization that thinking already contains boundary-trace corresponds to π-Tension containing the B₀/T₀ boundary-trace co-phase.

The Unified Model of V23.1

V23.1 unifies three core directions of PER into a complete structure:

1. The operationalization of π-Tension: transforming π-Tension into a trace-generation process involving T_exp, K, Pπ, M, and Q_final.

2. The Life Dual-Core ninefold taxonomy: establishing a criterion through L = B × T_trace, capable of handling ordinary non-life, pre-life, quasi-life, parasitic trace, dependent life, and self-sufficient life.

3. The unified topology of the π Trace Tree: organizing the overall structure into a single operational pathway.

The main pathway is:

X → π-Tension
(containing boundary-trace co-phase; B₀/T₀ co-arising, not yet phased)
→ triphasing into R1/R2/R3
→ operational positioning through R1/D・R2/S・R3/I
→ six-node discrimination
→ nine dynamics
→ Q_final
→ spiral continuation

Here, four layers must be strictly distinguished:

B₀/T₀ is the topological anterior-phase within π-Tension, not yet phased.
R1/R2/R3 are accessible realities after triphasing.
D/S/I are measurement scales for the intensity of the three phases.
B/T_trace is the lifehood criterion only after event-sequentialization.

Co-phase is not completed division. Phasing is not life. Q_final is not L.

Note: B₀/T₀ is designed to be impossible to measure directly through D/S/I, because it is not an empirical entity. It is a transcendental posit, a condition of possibility for any distinguishable trace to arise. Therefore, this layer is tested through conceptual coherence rather than empirical verification. It is not claimed to be an empirical object, but rather a Kantian condition of possibility.

Nahayun: The Taichu Scripture of Calamitous Trace

PER as Mythic-Bodily Manifestation

This extension formally incorporates Nahayun: The Taichu Scripture of Calamitous Trace into PER as a system of mythic-bodily manifestation.

In this text, the Force of Creative Calamity can be understood as the embodied name of π-Tension: the pressure differential generated when a finite body receives Primordial Limitless Qi. This pressure is not merely suffering. It is also the source of the practitioner’s power and the generation of trace.

The Outer Sacred Meridian, Heart-Demon Meridian, and Word-Spirit Meridian respectively correspond to PER’s R1 event trace, R2 experiential depth, and R3 symbolic order. In this way, the three layers of reality cease to be merely abstract structures; they become a Dao-body model borne together by mythic narrative, bodily sensation, and the grammar of cultivation.

The “Dual Pivot of Boundary-Trace” in The Taichu Scripture of Calamitous Trace connects directly with the Life Dual-Core theory: the self-preserving boundary protects form, while the transmissible trace continues life. Boundary protects trace; trace gives rise to boundary. This structure echoes the lifehood criterion L = B × T_trace: life is not merely existing, nor merely leaving information behind. Life is the closed loop formed by boundary and trace through time.

It was precisely in the making of this scripture, and in the realization of “receiving the inexhaustible through a finite body,” that the boundary-trace co-phase B₀/T₀ was first recognized.

The Taichu Scripture of Calamitous Trace is not the ontological core of PER. Rather, it is an extension of PER into mythic cosmology, bodily symbolism, and practical grammar. It pushes “experience as reality” into the domains of body, pain, cultivation, trauma, and transmission. In doing so, PER becomes not only a philosophical framework, but also an open theoretical universe capable of containing myth, narrative, body, and criteria of life.

Note: This text treats The Taichu Scripture of Calamitous Trace as a philosophical-mythic text and symbolic bodily grammar. It is not intended as medical advice, qigong instruction, acupoint practice, or guidance for physical or psychological treatment.

DSI and CMQ: The Operational Direction of PER

In order for PER not to remain solely at the level of philosophical speculation, the theory also proposes a semi-formal framework for research, narrative analysis, and AI alignment.

DSI Indicators

D — Detect: detectability; the degree of observability and reproducibility at the event layer.
S — Span: duration; the extension of emotion and memory at the experiential layer.
I — Impact: influence; the capacity of the symbolic layer to drive action and social structure.

CMQ Evaluation

C — Coherence: coherence.
M — Meaning Density: density of meaning.
Q — Quality: overall quality.

The purpose of DSI and CMQ is not to reduce experience into numbers, but to provide an interface for cross-layer comparison, modeling, and narrative analysis, allowing PER to engage philosophy, culture, AI, and narrative research at once.

The Nahayun Mythos: PER as Mythic-Ontological Extension

The Nahayun Mythos is a mythic universe and worldbuilding system grounded in PER. It is not a single storyline, but a world-constructing archive that combines primordial creation myth, dark fantasy narrative, and ontological architecture.

At its core, it describes how a world unfolds from an unnameable primordial anterior state, passing through: Micro-Inclination, Edge-Retention, Becoming-Circle, the Establishment of the Double Ring, the Establishment of the Six Positions, the Manifestation of the Fivefold Necessity, the Emergence of Trace, the forcing-out of Tarah, the proliferation of myriad worlds, the history after the King-Rupture, and the cycle of eternal return.

Within this universe, the three layers of PER are transcribed into the three reality-laws of the mythic cosmos:

R1 — Material Source-Phase
R2 — Gnostic Resonance
R3 — Word-Spirit Law

The work also introduces DSI/CMQ as a compression scale by which finite forms bear infinite content, describing how existence is recognized, inscribed, and awakened again within the mythic universe. Thus, The Nahayun Mythos can be understood as the cosmological extension of PER: it transforms the theory’s tension, trace, structural necessity, and existential compression into mythic narrative, world laws, positional systems, and law-structures.

Genesis and Threshold: Narrative Experiments of PER

Genesis and Threshold are not merely ancillary novels. They are literary enactments and thought experiments of PER.

Among them, Genesis is set as a (2,0,4) universe: R1 is stable, R3 is absolute, and R2 has nearly disappeared. What it portrays is not merely a science-fiction story, but a phenomenological test site for AI, the erasure of experience, free will, symbolic totalitarianism, and a smoothed-out world.

The theoretical texts provide the grammar and structure; Genesis and Threshold provide semantic and experiential situations. Only when these are joined does PER cease to be merely defined and begin to be seen, simulated, and felt.

Version Context and Theoretical Extension

The content collected here remains in evolution. It is not a single paper, but an entire theoretical universe undergoing continuous development. Its developmental context includes:

• The Book of Trace

• The foundational texts of Primordial Experiential Realism (PER)

• The operational index of Primordial Experiential Realism

• The complete concept set of PER V18

• PER V23.1: the unified model of π-Tension × Life Dual-Core × Trace Tree

• Critique of Experiential Reason: Trace, Radical Evil, and the Architectonic of Experiential Fundamentalism

• The paradoxical proposition series

• Literary and narrative experiments: Genesis and Threshold

• Extended worldbuilding: The Nahayun Mythos, in which the prototype of the Trace Tree was seen; and Nahayun: The Taichu Scripture of Calamitous Trace, in which the prototype of L = B × T_trace was seen, and where the boundary-trace co-phase B₀/T₀ was recognized.

Together, these texts form PER’s theoretical core, operational framework, narrative semantic field, and worldbuilding extension. The versions do not simply replace one another. Rather, through trace-return and spiral potentiality, they accumulate as different layers of manifestation within the same theoretical universe.

Version note: Due to recent work and travel outside the city, updates have slowed, but the overall theory and its extended texts remain under active organization. Future versions will continue to supplement references, revise the structure, and expand the appendices.

Precisely because we once strove with all our strength to build structure, we finally came to see:

That which does not conform to structure has not failed to occur; it has merely occurred by another path.