Description
Calculate critical mass density from inverse-second Hubble rate.
Cosmological redshift relates emitted and observed scales through a declared normalization. Density components, lengths and temperatures follow different model-dependent powers of the expansion factor, so matching symbols or dimensions does not make their physical meanings interchangeable.
Calculate critical mass density from inverse-second Hubble rate.
When to use this tool
Use Critical Density Hubble Squared Factor when evaluating the stated redshift scaling under its explicit normalization and component assumptions.
How to use the tool and how it works
- Enter hubblePerSecond, gravitationalConstant. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read criticalDensity. Use the output convention below.
Calculate critical mass density from inverse-second Hubble rate. Require hubblePerSecond >= 0 and gravitationalConstant > 0; criticalDensity = 3*H²/(8*pi*G).1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| hubblePerSecond | Hubble Per Second | Required. Finite number; minimum 0. |
| gravitationalConstant | Gravitational Constant | Required. Finite number; strictly above 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| criticalDensity | Critical mass density; kg/m³ for hubblePerSecond in s^-1 and SI gravitationalConstant. | Required. Finite number. |
{
"input": {
"hubblePerSecond": 2,
"gravitationalConstant": 0.1193662073189215
},
"output": {
"criticalDensity": 4
}
}Limitations and assumptions
- With SI G the result is kg/m³; this is mass density, not energy density, and no model parameter is inferred.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use a complete cosmological model with justified parameters for expansion histories, component evolution and observational inference.
References
Similar or alternative tools
- Curvature Density Redshift Square Term
Return a supplied curvature contribution's redshift factor.
- Dark Energy Constant W Density Factor
Scale a constant-equation-of-state density component.