The relativity of cosmic time is developed within the framework of Cosmological Relativity in five dimensions of space, time and velocity. A general linearized metric element is defined to have the form , where the coordinates are time , radial distance for spatials x, y and z, and velocity v, with c the speed of light in vacuum and t the Hubble-Carmeli time constant. The metric is accurate to first order in and v/c？. The fields and are general functions of the coordinates. By showing that =, a metric of the form is obtained from the general metric, implying that the universe is flat. For cosmological redshift z, the luminosity distance relation is used to fit combined distance moduli from Type 1a supernovae up to z<1.5？and Gamma-Ray Bursts up to z<7, from which a value of is obtained for the matter density parameter at the present epoch. Assuming a baryon density of , a rest mass energy of (9.79+ 0.47) GeV？is predicted for the anti-baryonic and the particles which decay from a hypothetical
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![\"\"](\"Edit_3d4dd1a7-9cf4-486a-9622-bce94139a769.bmp\")
, where the coordinates are time ![\"\"](\"Edit_def2d3ce-d4ae-4da8-87e5-5a630d586500.bmp\")
, radial distance ![\"\"](\"Edit_650ed7dc-bf93-4ddb-a9e6-55caaead46ab.bmp\")
for spatials x, y and z, and velocity v, with c the speed of light in vacuum and t the Hubble-Carmeli time constant. The metric is accurate to first order in ![\"\"](\"Edit_8701127a-c009-43db-b965-d8db4ebb1610.bmp\")
and v/c？. The fields ![\"\"](\"Edit_0a6f0718-2a13-49e7-a7e2-ad7a51e6f39a.bmp\")
and ![\"\"](\"Edit_e336151d-bcb2-4fdb-8a33-51c2762096f4.bmp\")
are general functions of the coordinates. By showing that ![\"\"](\"Edit_56d84d30-f9e3-4942-b117-59c6aadbe151.bmp\")
is obtained from the general metric, implying that the universe is flat. For cosmological redshift z, the luminosity distance relation ![\"\"](\"Edit_a1ab1937-9db9-4907-9375-0c3f9383454e.bmp\")
is used to fit combined distance moduli from Type 1a supernovae up to z<1.5？and Gamma-Ray Bursts up to z<7, from which a value of ![\"\"](\"Edit_9d0c94cb-a81a-418d-827a-927ae97a1fac.bmp\")
is obtained for the matter density parameter at the present epoch. Assuming a baryon density of ![\"\"](\"Edit_de199346-e5a7-472b-8b37-484570f9b310.bmp\")
, a rest mass energy of (9.79+ 0.47) GeV？is predicted for the anti-baryonic ![\"\"](\"Edit_4cbae7ed-d154-4ee6-aebc-861bdba82723.bmp\")
and ![\"\"](\"Edit_a758975e-668d-4ef4-9f6b-511687f65df0.bmp\")
the particles which decay from a hypothetical ![](\"Edit_7bab4ae4-2fc6-4ec9-8567-8b2fb520af66.bmp\")
