Description
Scale a constant-equation-of-state density component.
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.
Scale a constant-equation-of-state density component.
When to use this tool
Use Dark Energy Constant W Density Factor when evaluating the stated redshift scaling under its explicit normalization and component assumptions.
How to use the tool and how it works
- Enter presentDensity, redshift, equationOfState. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read densityFactor, density. Use the output convention below.
Scale a constant-equation-of-state density component. Require presentDensity >= 0 and z > -1; densityFactor = (1+z)^[3*(1+w)], density multiplies presentDensity.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| presentDensity | Present Density | Required. Finite number; minimum 0. |
| redshift | Dimensionless redshift z; the stated scaling formulas require z > -1. | Required. Finite number; strictly above -1. |
| equationOfState | Constant dimensionless w = pressure/energy-density, equivalently p/(mass-density*c^2). | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| densityFactor | Density Factor | Required. Finite number. |
| density | Density on the same physical and unit basis as the supplied reference or component; see the formula above. | Required. Finite number. |
{
"input": {
"presentDensity": 5,
"redshift": 2,
"equationOfState": -1
},
"output": {
"densityFactor": 1,
"density": 5
}
} Limitations and assumptions
- The dimensionless w is constant and means pressure divided by energy density; changing w or interacting fluids require another model.
- 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.
- Critical Density Hubble Squared Factor
Calculate critical mass density from inverse-second Hubble rate.