# De Broglie equation and black holes

## Main Question or Discussion Point

Does this apply to a black hole? What would be the consequences of it? Thanks

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I assume you are talking about the De Broglie wavelength describing the wave-like nature of any object.

$$\lambda = \frac{h}{p} = \frac {h}{\gamma mv} = \frac {h}{mv} \sqrt{1 - \frac{v^2}{c^2}}$$

The is a Quantum Mechanical description. Yes it applies to black holes, yet in practice the wavelength is so small as to be pointless. Note that the wavelength and frequency is defined as probability waves. Getting into interpretations is probably too problematic here. The consequences is that if you had a few trillion trillion times longer than the life of the Universe you could get black holes produce an interference pattern in a double slit experiment. Not a consequence worth thinking much about.

Ok, we will try it here: Gh/CC is the Universal flow constant, so what does that say about black holes?

ok sammy, for me it means that space-time is flowing and it accelerates due to black holes presence. What do you think about that ?

I do not think that space-time flows, rather photons and other matter flow in space-time. If E=hn does -E=-hn ie. dE=hdn? For a black hole we can use Albert's photo-electric effect but reverse it (Sammy's electro-photic effect) and use anti-matter, then we should get photons going backwards in time ie. going back to the source and let the source be the black hole. This is a linear model like simple relativity, but we could also use GR for a gravitational model.

Gh/CC is the space/time constant; the units: dxdydz/dt; this is the first derivative of space with respect to time and it is constant.