GE - GMm/R: Does Vacuum Energy Affect Gravitational Fall?

In summary, the conversation discusses the equation GE = minus GMm/R and how an increase in R results in an increase in M due to the vacuum energy, leading to a falling outward. However, the mass of vacuum energy is small and it is unclear if the increase in vacuum energy can be less than the increase in R, resulting in a smaller negative value of GE and a potential falling inward. The topic is related to a book on cosmology and the concept of GE being a negative value.
  • #1
keepitmoving
97
0
re: GE = minus GMm/R. It`s said that as R increases M increases to the third power and therefore falling outward is downhill but the increase in M is due to an increase in the vacuum energy which converts to a certain amount of mass. However, the mass of vacuum energy is very small. Could that mass increase less than the increase in R and therefore fall inward?
 
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  • #2
keepitmoving said:
re: GE = minus GMm/R. It`s said that as R increases M increases to the third power and therefore falling outward is downhill but the increase in M is due to an increase in the vacuum energy which converts to a certain amount of mass. However, the mass of vacuum energy is very small. Could that mass increase less than the increase in R and therefore fall inward?
What?
 
  • #3
it was in a book by Prof Mark Whittle. Since the volume , mass (vacuum energy) of a sphere increases as the third power of the radius increases, then the GE minus(GMm/R) would become more negative as R increases and there fore GE would cause a falling outward. I guess it depends however on how much vacuum energy increases when the R increases. If the increase in vacuum energy cubed was less than the increase in R then GE would become less negative and cause a falling inward.
 
  • #4
I don't understand what it is you're trying to ask.
 
  • #5
We have not read the book. Nor have you told us what book it is.

You are using too much shorthand for us to understand the issue in a contextual vacuum.
 
  • #6
it`s an outline book called "Cosmology: The History and Nature of the Universe" from one of the "Great Courses" DVD`s.
Basically i`m asking if the increased mass as a result of the vacuum energy (mass) created when the sphere expands can be less than the increase in Radius. Vacuum energy is small and if it is small enough the soution would result in smaller negative GE and therefore a falling inward rather than outward.
 
  • #7
according to this book GE is a negative value and that falling goes in the direction of greater negative value of GE.
 

Related to GE - GMm/R: Does Vacuum Energy Affect Gravitational Fall?

1. What is GE - GMm/R?

GE - GMm/R is the formula for calculating the acceleration of gravity, also known as the gravitational field, at a certain distance from a massive object. It takes into account the mass (M) and the distance (R) from the center of the object, as well as the universal gravitational constant (G) and the mass of the smaller object (m).

2. What is vacuum energy?

Vacuum energy, also known as zero-point energy, is a concept in quantum physics that refers to the energy that exists in a vacuum, even when there is no matter or radiation present. It is a fundamental property of space and is thought to play a role in the expansion of the universe.

3. How does vacuum energy affect gravitational fall?

The exact impact of vacuum energy on gravitational fall is still a subject of debate among scientists. Some theories suggest that vacuum energy may contribute to the overall mass and energy of the universe, which could potentially affect the strength of gravity. However, the effects of vacuum energy on gravitational fall are likely to be very small and difficult to measure.

4. Is vacuum energy related to dark energy?

There is currently no consensus among scientists on the relationship between vacuum energy and dark energy. Some theories propose that vacuum energy is the source of dark energy, which is thought to be responsible for the accelerated expansion of the universe. However, more research is needed to fully understand the connection between these two concepts.

5. How is GE - GMm/R affected by changes in vacuum energy?

Since vacuum energy is a fundamental property of space, changes in vacuum energy could potentially affect the value of the gravitational field at a given distance from a massive object. However, the exact impact of these changes on the GE - GMm/R formula is still unknown and requires further research and experimentation.

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