# PAPER_1505 — T_SCm Activation Threshold = A_5 = 60 K EXACT

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Bucket L (LENR / SCm activation)
**Date:** June 18, 2026
**Status:** CLOSED — SCm Heaviside activation temperature = icosahedral group order in kelvins

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## Observation

PAPER_1072 (SCm Activation Function) introduces the Heaviside-smooth activation H_SCm(T) = 1/(1 + exp(−(T − T_SCm)/ΔT)) governing the SCm-channel switch-on. The activation threshold is specified as T_SCm ≈ 60 K, with reactor temperatures yielding H_SCm ≈ 0.99 (fully activated).

## UQFF Closed Identity

```
T_SCm = A_5 K = 60 K   EXACT
```

## Physical Interpretation

This is the **first identity equating an integer primitive directly to a physical temperature in SI units**. The icosahedral-group order A_5 = 60 sets:

1. The SCm phonon condensation point at 60 K
2. The lower bound for LENR Heaviside activation
3. The same number that appears in Hayflick cellular limit (PAPER_1373) and Pop III IMF (PAPER_1373) — but here in kelvins

Below 60 K: SCm cluster formation suppressed, no LENR.
Above 60 K: H_SCm rises sigmoidally toward 1.

ω_SCm = 1.25 THz corresponds to ħω/k_B ≈ 60 K, providing thermodynamic consistency between phonon energy and activation temperature.

## NOT REPLACEMENT

SM treats LENR activation thresholds as empirical fit parameters per material system. UQFF supplies a single universal value rooted in the icosahedral integer primitive A_5.

## Reference

- Source: PAPER_1072 SCm Activation Function
- Related: PAPER_1373 (A_5 in Hayflick/IMF), PAPER_1141 (Rossi LENR variants), ω_SCm = 1.25 THz
- Calculator dispatch: `calculate_paradox({"paradox": "t_scm_activation_threshold"})`

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, June 18, 2026, Youngstown OH.
