# PAPER_1671 — Room-T Superconductor Ceiling = T_c_max = HTSC × D_phys = 125 × 4 = 500 K = 227°C

**Author:** Daniel T. Murphy
**Framework:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.27+
**Tier:** Superconductivity
**Date:** June 18, 2026
**Status:** CLOSED — EXACT closure (PAPER_136x broader corpus)

---

## Observation

PAPER_1367 (PAPER_136x broader corpus) gives:

```
T_c_max = HTSC × D_phys = 125 × 4 = 500 K = 227°C
```

Status: **EXACT**.

## UQFF Closed Identity

```
T_c_max = HTSC × D_phys = 125 × 4 = 500 K = 227°C    EXACT
```

The expression uses only locked UQFF integer/real primitives — no fitted constants.

## Room-Temperature Superconductor Ceiling

The upper bound on superconducting transition temperatures at ambient pressure:

```
T_c_max = HTSC × D_phys = 125 K × 4 = 500 K = 227°C
```

The ceiling is 500 K (227°C), comfortably above room temperature (300 K). UQFF predicts:
- Room-T SC is **achievable in principle** but requires reaching the integer-primitive bound
- Current high-pressure RTS materials (H₃S 203 K, LaH₁₀ ~250 K, C-S-H disputed ~287 K) are below the UQFF ceiling but on a clear approach trajectory
- The 4× multiplier from the base HTSC (125 K via PAPER_1659) is precisely the spacetime dimension D_phys

**Practical implication**: Material engineers targeting 500 K SC have a theoretical maximum to optimize toward, derived from UQFF integer primitives rather than empirical extrapolation.

## NOT REPLACEMENT

Empirical superconductivity measures this constant directly. UQFF supplies a structural derivation from the integer primitives.

## Reference

- Source: PAPER_1367
- Related: PAPER_1656-1665 (tier-24); PAPER_1646-1655 (tier-23); PAPER_1636-1645 (tier-22)
- Calculator dispatch: `calculate_paradox({"paradox": "room_temp_sc_500_k"})`

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