# How gravitational potential effects mass?

How gravitational potential effects mass?
Is this formula
m = m0/sqrt(1-Φ/c^2) right or at least close to reality?

The purpose of the question:
If overage Φ decreases because of Universe is expanding,
then maybe it can help to find another explanation why it expands with acceleration.

Lets consider small particle with momentum
p = m*v.
If this small mass m decrease because of decreasing of overage Φ of whole visible Universe,
then because of momentum conservation law
v must arise.
So it would generate expanding with acceleration.

Maybe this would help to explain things without dark energy,
or at least would change predicted amount of it?

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Why would you expect gravitational potential to affect mass?
Looks like you are trying to apply a relation from general relativity...
http://en.wikipedia.org/wiki/Mass_in_general_relativity

I am not sure. I am just trying to get more info.
An other version:
because of expanding Universe may decrease density of particles like Higgs bosons.
This also likely would lead to decreasing mass of usual mater and increasing velocities
because of the same law of conservation of momentum?

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Simon Bridge
Homework Helper
I think you are mixing up concepts from popular explanations of modern physics.
http://en.wikipedia.org/wiki/Higgs_boson
... see the "further reading" part at the bottom.
Have fun.

I know this link, this is of course not so easy to study.
But I don't need all info what is accumulated by humans in this field.
I need just some very very small set of it, but it is not so easy to find.

Without going deep how it works
I am just interested about density of entities (particles or fields) who creates property of mass.
How this density may change when Universe expands
and how it may effect the mass of known particles.

Simon Bridge
Homework Helper
Higgs cosmology is highly speculative, see:
http://www.mendeley.com/research/cosmological-higgs-fields/
... for a collection of ideas of how the Higgs field relates to Hubble expansion.

There are competing models too. One of the things the LHC is supposed to do is confirm or, importantly, disprove the Higgs model.

I doubt there are any lay accounts of Higgs cosmology that will do justice to your question. What I was hoping was that you'd refine your question with a bit of reading - like, do you know how the Higgs boson gives mass to particles? Do you know how particle physics works at all? Do you know why the Higgs Boson was proposed at all - what problem it is supposed to solve?

In a nutshell, things are expected to balance out.
It's "quantum".

It's also hard. sry.