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Structural Mathematics
Model 03 · descriptive · falsifiable

நம்பிக்கை சிதைவு வளைவுTrust-Decay Curve T(t)

Backward-looking audit of the Sri Lankan state's commitment-default record since the Indo-Lanka Accord.

Formula
T(t) = T₀ · exp(−λ·t),  where λ increases discretely at each documented commitment-default event

§1What it measures

TDC is the most-misread of the five models. It is not a sentiment claim about how Tamils feel; it is an auditable record of formally adopted commitments and their formally documented non-implementation. The curve form is a presentational device — what matters is the discrete step series.

The point of the model is to convert 'why don't Tamils trust the Sri Lankan state's commitments?' from a vibes question into a citation question. Every λ step is a footnote.

§2Inputs & sources

T₀ — reference point

Set at the 29 July 1987 Indo-Lanka Accord. This is a documentation choice; the Bandaranaike-Chelvanayakam Pact (1957) and Dudley-Chelvanayakam Pact (1965) are recorded earlier in the Narrowing Timeline and could be used as alternative anchors. T₀ is not a claim about pre-1987 trust.

  • Indo-Sri Lanka Agreement to Establish Peace and Normalcy in Sri Lanka (29 July 1987), Ministry of External Affairs (India)
λ — decay rate, stepped at each commitment-default event

λ increases by a documented step at each of: 1989 IPKF withdrawal without full 13A implementation; 2003 P-TOMS Supreme Court collapse; 2010 LLRC non-implementation; 2020 co-sponsorship withdrawal from A/HRC/RES/30/1; 2022 OMP non-prosecutorial mandate; successive PTA replacement bills (2018, 2023, 2024) not delivering substantive reform.

  • Goodhand, Spencer & Korf (eds.), Conflict and Peacebuilding in Sri Lanka (2011), Routledge
  • International Crisis Group — Sri Lanka country series
  • OHCHR Annual Reports on Sri Lanka
  • International Commission of Jurists briefings on the PTA

§3Worked reading

T(t) is dimensionless. Its presentational form (exponential) reflects the empirical observation that successive defaults compound — each unkept commitment makes the next one structurally harder to fund, sponsor, or believe.

The curve form should not be over-read. If the Sri Lankan state fully implements a single commitment with a measurable timeline and independent verification, λ would not step further and the model's trajectory would flatten. This is the meaning of the falsifier.

Falsifier

If any one of the listed commitment-default events is reversed by completed implementation with independent verification, the corresponding λ step is removed and TDC's trajectory is correspondingly revised. If two or more are reversed, the model's argumentative force is materially weakened.

Non-claim: T(t) is not a forecast of future commitment behaviour. It is a backward-looking audit of the documented commitment-default record. It does not assert that Tamils 'should not trust' anything; it documents why, on the cited record, they have reason not to.

What this model is not

TDC does not name any individual sponsor, signatory, or minister.
TDC does not score the 'character' of any government, party, or community.
TDC is not a sentiment index, public-opinion poll, or psychological measurement.
Cited within TLTE by
Cite this model: tlte-cite:case-math-tdc · Aarambam · descriptive only
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