john hunter
31-August-2006, 10:17 AM
According to WMAP data the value of omega(matter) is approx 0.3 (http://map.gsfc.nasa.gov/m_mm.html)
Here is a suggestion that the value is 1/3
According to the rescaling principle, energy should be conserved if the universe rescales, (all length dimensions changing, and all physical constants with a length dimension changing in proportion) - www.gravity.uk.com/cosmological_model.html
In this theory gravity is caused by a rescaling, and the value of G (attractive gravitational mass of each mass m) is determined by the rescaling constant H, and the density of surrounding matter. The total energy due to each mass in the universe is conserved (remains at zero) as the universe rescales.
so (simplistically) for a mass m
mc^2 - GmM/R = 0 and as the speed of light and G rescale, the value remains at zero. Giving G=Rc^2/M
M is the mass of the universe , R is the radius of the universe = c/H,
H is half of the Hubble constant - www.gravity.uk.com/redshift_of_light.html
more detail: mc^2 = integral 0 to R of [Gm(4pi*r^2*rho)/r] dr, this is a sum of the potential energy of shells of thickness dr
This gives G= c^2/(2pi*R^2*rho), and using R=c/H .....G=H^2/(2pi*rho)........rho=H^2/2pi*G (here H is the rescaling constant)
so omega = rho/rho(critical) = rho/[3H^2/8*pi*G] can be calculated to be 4/3, the H in denominator being the Hubble constant, this introduces a factor 1/4 and gives omega = 1/3
John Hunter.
P.S the volume of a hypershere is 2pi^2*r^3, (the proper volume), a similar integral to above with surface area as the derivitive of this formula (6pi^2*r^2), gives a value for omega of 8/(9pi), which is also approx 0.3.
Here is a suggestion that the value is 1/3
According to the rescaling principle, energy should be conserved if the universe rescales, (all length dimensions changing, and all physical constants with a length dimension changing in proportion) - www.gravity.uk.com/cosmological_model.html
In this theory gravity is caused by a rescaling, and the value of G (attractive gravitational mass of each mass m) is determined by the rescaling constant H, and the density of surrounding matter. The total energy due to each mass in the universe is conserved (remains at zero) as the universe rescales.
so (simplistically) for a mass m
mc^2 - GmM/R = 0 and as the speed of light and G rescale, the value remains at zero. Giving G=Rc^2/M
M is the mass of the universe , R is the radius of the universe = c/H,
H is half of the Hubble constant - www.gravity.uk.com/redshift_of_light.html
more detail: mc^2 = integral 0 to R of [Gm(4pi*r^2*rho)/r] dr, this is a sum of the potential energy of shells of thickness dr
This gives G= c^2/(2pi*R^2*rho), and using R=c/H .....G=H^2/(2pi*rho)........rho=H^2/2pi*G (here H is the rescaling constant)
so omega = rho/rho(critical) = rho/[3H^2/8*pi*G] can be calculated to be 4/3, the H in denominator being the Hubble constant, this introduces a factor 1/4 and gives omega = 1/3
John Hunter.
P.S the volume of a hypershere is 2pi^2*r^3, (the proper volume), a similar integral to above with surface area as the derivitive of this formula (6pi^2*r^2), gives a value for omega of 8/(9pi), which is also approx 0.3.