Consider the uncertainty principle:(adsbygoogle = window.adsbygoogle || []).push({});

dp * dx = hbar

For photons we have the relation:

E = p c

Substituting into the above uncertainty principle:

dE = hbar c / dx (1)

As we look at a smaller and smaller piece of the zero-point field the (positive) energy diverges.

But that energy has a mass equivalent which therefore has a negative gravitational potential self-energy, dP.

dP = - G dM^2 / dx (2)

As dx -> 0 then dP -> -infinity as fast as dE -> infinity so they cancel each other out.

If we have:

dE = -dP = dM c^2

and substitute this relation into (1) and (2) we get a relation for the length scale dx:

dx = sqrt(G hbar / c^3)

This is the Planck length.

I would guess that space-time quantisation is equivalent to the zero-point energy at each point being cancelled out by its negative gravitational potential energy.

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Zero-point energy cancelled by its gravitational energy?

Loading...

Similar Threads - Zero point energy | Date |
---|---|

Zero-point energy density evaluation | Oct 20, 2014 |

Zero point energy | Sep 24, 2012 |

Simple proof that the zero-point energy spectrum is Lorentz Invariant? | Aug 26, 2011 |

Zero-point energy stops space shrinking? | Aug 22, 2011 |

**Physics Forums - The Fusion of Science and Community**