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Cosmology Distance Physical Comoving Label

Crosswalk an explicit same-epoch physical/comoving separation using a positive scale factor without confusing luminosity or angular-diameter distances.

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Description

Crosswalk supplied same-epoch physical and comoving lengths using a scale factor.

Cosmological quantities depend on scale factor, redshift, distance definition and the dimensionless Hubble parameter h. Proper and comoving distances differ at a specified epoch, and h-scaled units differ from the dimensional Hubble constant. A scalar rescaling or model contribution preserves supplied conventions without fitting a cosmology or inferring an observed distance.

Crosswalk supplied same-epoch physical and comoving lengths using a scale factor.

When to use this tool

Use Cosmology Distance Physical Comoving Label when you already have distance, scaleFactor, inputConvention and need to crosswalk supplied same-epoch physical and comoving lengths using a scale factor.

How to use the tool and how it works

  1. Enter distance, scaleFactor, inputConvention. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read physicalDistance, comovingDistance. Use the output convention below.

Require distance>=0, scaleFactor>0 and convention physical/comoving; physical=a*comoving, dividing by a for physical input and multiplying for comoving input.1

Proper separation at a stated epoch differs from comoving separation by the scale factor. This is separate from luminosity and angular-diameter distance.2

Input fieldMeaning and unitsAccepted input
distanceDistanceRequired. Finite number; minimum 0.
scaleFactorPositive dimensionless scale factor at the same epoch as both distance conventions; values above one are accepted.Required. Finite number; strictly above 0.
inputConventionInput ConventionRequired. Text; one of "physical", "comoving"; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
physicalDistanceProper distance at that epoch, equal to scaleFactor*comovingDistance in the same length unit.Required. Finite number.
comovingDistanceComoving DistanceRequired. Finite number.
json
{
  "input": {
    "distance": 100,
    "scaleFactor": 0.5,
    "inputConvention": "comoving"
  },
  "output": {
    "physicalDistance": 50,
    "comovingDistance": 100
  }
}

Limitations and assumptions

  • Scale-factor normalization and epoch are supplied. This is not a cosmological distance integral or an angular-diameter/luminosity distance conversion; future a>1 is accepted.
  • 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 the complete cosmological model and its parameter, epoch and unit definitions for a physical inference. Review redshift, distance, lensing and spectrum conventions before combining these local terms; they do not perform line-of-sight integration, parameter estimation or uncertainty analysis.

References

  1. Calculation and input contract: cosmology/cosmology-distance-physical-comoving-label — tool.io

  2. Distance measures in cosmology — David W. Hogg

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