Golden Hawking Temperature Normalization

Abstract

Golden scale data alone do not determine Hawking temperature without a physical-time normalization.

Theorem 1.1 (Golden Data Do Not Determine Hawking Temperature).

$$(\exists a:GoldenTemperatureSpecification,b:GoldenTemperatureSpecification,(\mathrm{goldenTemperatureData}\left(a\right)=(goldenScalePeriod,goldenScalePeriod))\wedge ((\mathrm{goldenTemperatureData}\left(a\right)=\mathrm{goldenTemperatureData}\left(b\right))\wedge (\mathrm{goldenHawkingTemperature}\left(a\right)\ne \mathrm{goldenHawkingTemperature}\left(b\right)))).$$

Proof. Machine-checked in Lean as D5/S3/Observer/GoldenPrimeCircle/GoldenHawkingTemperatureNormalization.golden_data_does_not_determine_hawking_temperature (✓ std3). ∎

Source. Repository-derived.

Commentary.

Two positive affine-to-Killing-time conversions share the same golden scaling rate and regulator period but give different Hawking temperatures.

The witness isolates the missing time normalization; it does not claim that every pair of specifications has different temperatures.

References

• Truth anchor: D5/S3/Observer/GoldenPrimeCircle/GoldenHawkingTemperatureNormalization.golden_data_does_not_determine_hawking_temperature
• Dependency: D5/S3/Observer/GoldenPrimeCircle/GoldenScaleCircle