The Soteriological Corollary: Matthew 25 Formalized (v2.0)

Abstract:
This document maps the variables of the Relational Coherence Protocol (v1.3) directly to the theological concepts of Matthew 25. It incorporates refinements clarifying (1) the salvific role of Ψ_V = ∅ (Frailty), (2) the feedback-loop structure of Γ-hardening (Hysteresis), and (3) the ε-term assigning minimal positive regard to Incapacity states. Salvation (S) is defined as the lifetime integral of Regard, Judgment (J) as the terminal state of Γ-calcification.

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I. Mapping of Variables

Theological Term Structural Variable Definition

The Least of These u_TEST The content (C) placed in the structural gap or ethical field. Easily ignored or sorted as noise by Γ-filters.

"Lord, when did we see you?" Ψ_V = 0 The confident blindness of the Essentialist State. Γ has pre-sorted the input as irrelevant.

"Come, you who are blessed" Ψ_V = 1 Recognition of the Regard State. Invitation reflects an already existing relational condition.

Sin Strategy(Essentialism) Structural commitment to reducing the Other to categories. Sets L_Ω → 0.

Iniquity / Hardening Hysteresis(Γ) The path-dependent increase in cost required to reverse Ψ_V = 0 over time.

Frailty Ψ_V = ∅ Temporary collapse due to Load(B, t). Incapacity, not refusal.

Grace Δt Temporal allowance for ∅ → 1 transitions.

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II. The Expanded Structural Definitions

1. Interpersonal Veto Constraint (V_INTER)

V_INTER(t) = F(O_A, O_B) + Load(B, t)

Where Load(B, t) is the agent's momentary cognitive/emotional burden.

2. Test Vector (u_TEST)

u_TEST ⇔ C ∈ (O_A △ O_B) ∪ E_Universal

Where E_Universal includes ethical, affective, or vulnerable disclosures demanding recognition regardless of identity boundaries.

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III. Γ-Hardening as a Feedback Loop

Γ-hardening (Iniquity) is a self-reinforcing cycle:

(1) Γ reduces L_Ω
(2) Reduced L_Ω reinforces Γ selection
(3) Reinforced Γ increases V_INTER
(4) Increased V_INTER further suppresses L_Ω
(5) Cycle spirals: cost of reversal increases over time (Hysteresis)

Formally:

Γ_{t+1} = Γ_t + α · (V_INTER(t)) − β · (L_Ω(t))

Where α > 0 and β > 0.

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IV. Salvific Integral with ε-Term

State definitions:
Ψ_V = 1 (Regard)
Ψ_V = 0 (Essentialism)
Ψ_V = ∅ (Frailty)

Frailty now assigns minimal openness:

Ψ_V = ∅ ⇒ contributes ε to S, where ε > 0 but ε ≪ 1.

Salvation as cumulative Regard:

S = ∫{t_start}^{t_end} ( L_Ω(t) / ||V_INTER(t)|| ) dt + ∫ ε{(Ψ_V=∅)} dt

Interpretation:

• If S → ∞: Regard dominates. Self–Other boundary becomes permeable to Grace.

• If S → 0: Lifetime Γ-dominance. Boundary hardens into isolation.

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V. Structural Definition of Hell (Limit State)

Hell is not a place but a terminal structural condition:

Hell ⇔ lim_{t → ∞} Ψ_V(t) = 0 strictly

The agent becomes locked inside Γ-generated categories and loses the structural ability to perceive the Real (R).

"Depart from me" = descriptive statement of the terminal coordinate: total isolation.

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VI. Judgment and Grace

Judgment(J): Terminal Γ-state produced by persistent essentialism and hysteresis.
Grace(Δt): Temporal window permitting ∅ → 1 transitions.

Frailty is not judged.
Essentialism judges itself.
Recognition fulfills itself.

End of document.