MIND EXPERIMENT: Remove Expansion

Purpose

This study is a deliberate removal of one assumption from the interpretation of cosmological redshift: assume nothing about expansion.

The purpose is not to demonstrate that the universe is static, nor to establish an alternative cosmological model. The purpose is to determine what questions become visible when expansion is removed from the starting premises.

The universe is expanding, or it is not. It is not "almost pregnant." If expansion is treated as a physical mechanism, it must ultimately survive comparison with observation without requiring an indefinitely adjustable collection of additional mechanisms to preserve the interpretation.

The Conventional Chain

Cosmological distance is commonly inferred through a chain of relationships in which observed redshift is interpreted as evidence of recession associated with an expanding universe.

\[ \text{redshift} \rightarrow \text{recession} \rightarrow \text{distance} \rightarrow \text{cosmic scale} \rightarrow \text{cosmic history} \]

Each step depends upon the interpretation assigned to the preceding observation. Redshift itself is an observation. Recession, distance, and cosmological history are interpretations or quantities derived from additional assumptions.

The mind experiment therefore asks what remains if the first interpretive step is deliberately suspended.

The Experiment

Consider the observed spectrum of a distant source. Its spectral features are shifted relative to the corresponding features measured locally.

Record the observation without assigning a cause:

\[ f_{\mathrm{observed}} \neq f_{\mathrm{reference}} \]

The measured difference is real and reproducible. The cause has not yet been specified.

Now remove expansion from the premises.

The question changes from

How much is this source receding because the universe is expanding?

to

What physical process occurred between emission and observation that changed the received signal?

Propagation Becomes the Subject

Once expansion is removed as an assumed cause, the propagation path becomes an active part of the investigation.

The signal does not travel through an abstract description of distance. It travels through whatever physical environment exists between source and detector.

The working question therefore becomes:

Can the propagation environment alter the frequency, phase, direction, coherence, or energy distribution of a signal without requiring the source to be receding?

This is deliberately broader than any particular proposed mechanism. The purpose is to identify the physical degrees of freedom that expansion may currently be standing in for.

A Candidate Mechanism: Deflection or Lensing

One possibility under investigation is that the observed frequency shift is associated with a propagation process involving deflection, lensing, phase rotation, or another interaction between the signal and the electromagnetic structure encountered along its path.

This study does not identify which of these mechanisms is correct. It records them as candidates for investigation.

The distinction is important:

\[ \text{Observed redshift} \neq \text{identified mechanism} \]

A frequency shift tells us that the received signal differs from the reference signal. It does not, by itself, identify the physical process responsible for the difference.

The Reactance Question

The transmission-line analogy introduces another question. Electromagnetic propagation through a physical medium depends upon the electrical properties of that medium.

In a transmission-line description, propagation is associated with distributed inductive and capacitive properties:

\[ v = \frac{1}{\sqrt{LC}} \]

The corresponding characteristic impedance is

\[ Z_0 = \sqrt{\frac{L}{C}}. \]

These relationships do not establish a cosmological mechanism. They provide an engineering question: if the propagation environment is physically structured, what aspects of that structure can alter the signal without destroying its identity?

Reactance, impedance, phase, coupling, reflection, refraction, and propagation velocity therefore become quantities worth investigating rather than quantities to be assumed away.

The Calibration Problem

The significance of this mind experiment is not limited to the explanation of redshift. It reaches downstream into the calibration of cosmic distance.

If redshift is used to infer recession, and recession is used to infer distance, then the physical interpretation of redshift becomes part of the distance calibration.

\[ z \rightarrow v_{\mathrm{recession}} \rightarrow d \]

If the first arrow represents an incorrect or incomplete physical interpretation, the quantities downstream of it inherit that error.

The resulting question is therefore not:

What alternative number should replace the conventional size of the observable universe?

It is:

How much of the inferred cosmic scale depends upon interpreting redshift as expansion?

The Cosmic-Scale Thought Experiment

The existing workbench provides three useful numerical scales:

Working cosmic-distance scales
Reference Diameter
Conventional observable-universe estimate 93.0 B ly
Standard-candle working scale 112.5 B ly
Equal-density balance scale 120.4 B ly

These numbers are not presented here as competing measurements of the physical universe. They are working scales generated by different assumptions and calculations.

The useful feature is that the two alternative calculations lie closer to one another than either lies to the conventional 93-billion-light-year reference.

That numerical relationship does not establish a new cosmic diameter. It establishes a question worth asking:

Could the conventional distance scale contain a systematic effect introduced by the physical interpretation of redshift?

Do Not Rescue the Premise Automatically

Suppose increasingly distant observations produce systematic departures from the predictions associated with expansion.

There are at least two fundamentally different responses.

  1. Retain expansion as the underlying mechanism and assign the discrepancy to additional effects.
  2. Re-examine whether expansion was the correct physical interpretation of the original observation.

The second response is the purpose of this study.

It is not legitimate to decide the answer in advance. But neither is it necessary to preserve a mechanism merely because it has become embedded in the calibration procedure.

What the Mind Experiment Does Not Claim

This study does not claim that the universe is static.

It does not claim that redshift has been explained.

It does not establish lensing, deflection, phase rotation, reactance, or any other propagation mechanism as the cause of cosmological redshift.

It does not establish that the observable universe is 112.5 or 120.4 billion light-years across.

Its purpose is narrower: remove expansion from the premises and examine what the observations require without it.

Working Questions

  1. Can a propagation mechanism produce a systematic frequency shift over cosmological distances?
  2. Can such a mechanism alter frequency without destroying coherence?
  3. Can deflection, lensing, or phase rotation produce an observable spectral consequence?
  4. Does the observed redshift correlate with the structure of the propagation path?
  5. Can an independent distance scale be established without using redshift as the primary calibration?
  6. If an independent scale differs substantially from the expansion-derived scale, what assumption accounts for the difference?
  7. Can the difference be related to measurable electromagnetic properties of the propagation environment?

Current Status

Study / Mind Experiment.

No alternative cosmological model is asserted here. No redshift mechanism has been established. No revised cosmic diameter is asserted.

The investigation begins by removing expansion as an assumption and asking what the measured signal itself requires.

Conclusion

Expansion is either a physical property of the universe or it is not. It should therefore be treated as a hypothesis subject to investigation rather than as a permanent premise of the investigation.

If redshift can be explained as a consequence of propagation through a structured electromagnetic environment, then the inference from redshift to recession is no longer automatic. If that inference changes, the distance scale derived from it must be reconsidered.

The immediate objective is therefore not to replace expansion with another story.

The objective is to determine whether the signal itself requires expansion in the first place.