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Since Omega-lambda is very close to Omega-matter, what could it mean if we assume they are exactly equal to each other. Also, let's assume they were always equal since coincident problem is unnatural.
Mordred said:Your use of terms is misleading in regards to your question.
In the title the vacuum energy is the same as the cosmological constant, lambda.
In your omega-matter, are you referring to the total mass including DM, radiation and energy. Or specifically just normal matter?
What you are probably looking for is the relation of the critical density vs lambda. Please confirm
Here is a quick article on critical density
http://map.gsfc.nasa.gov/universe/uni_shape.html
Chronos said:They don't, which is one reason dark matter is the favored explanation. We can strongly constrain the contribution of omega baryonic and omega lambda to critical density, and they fall far short of that necessary to account for the measured critical density of the universe.
Mordred said:One of the problems associated with forum based answers. Is the specific need of clarity on what the OP is asking for. This requires accurate feedback from the OP. Not only on a specified target but also a target of understanding vs the OP's line of thinking.
To answer your questions accurately in an educational manner requires us to formulate your thoughts. This is indicative of why I ask for better clarity on your understanding on the
related post
The cosmological constant, denoted by the Greek letter lambda (Λ), is a parameter in Einstein's theory of general relativity that represents the energy density of the vacuum of space. It is used to account for the observed acceleration of the expansion of the universe.
The cosmological constant has a repulsive effect on the expansion of the universe, causing it to accelerate. This means that the distance between galaxies is increasing at an ever-increasing rate.
Vacuum energy, also known as zero-point energy, is the lowest possible energy state that a quantum mechanical physical system may have. It is the energy associated with the empty space between particles in the universe.
The cosmological constant is a measure of the vacuum energy density of the universe. In Einstein's theory of general relativity, the cosmological constant is directly proportional to the vacuum energy density. In other words, as the vacuum energy increases, so does the value of the cosmological constant.
There is currently no evidence to suggest that the value of the cosmological constant changes over time. However, some theories, such as the quintessence model, propose that the cosmological constant may vary over time, leading to different rates of expansion in the universe.