The Duality Redshift: How Photons Morph into Dark Matter and Resolve the Hubble Tension ✛ ✦

Original: "Redshift Duality with Pantheon+SH0ES in a Planck-anchored Flat $$Λ$$CDM Framework: Implications for Hubble Tension and Observational Inference"
· Tae-Kyoung Lee
arXiv:2606.02097v1 · 2026-06-01 · CC BY 4.0 · 4 min
Adding a non-metric redshift component, caused by photon energy converting into effective mass, reconciles supernova data with Planck cosmology and eases the Hubble tension.

Context

The discrepancy between the Hubble constant measured from cosmic microwave background fluctuations (67.4 km/s/Mpc) and from Cepheid-calibrated Type Ia supernovae (73.0 km/s/Mpc) has reached 5σ. This Hubble tension challenges the standard ΛCDM cosmology and calls for either a revision of observational systematics or the introduction of new physics, such as evolving dark energy. However, dynamical dark energy models do not provide a unified answer and struggle to fit all data. Our work suggests a radically different path: preserving the ΛCDM framework while adding a new, non-metric redshift channel arising from photon-vacuum interactions.

Methods

We used the publicly available Pantheon+SH0ES dataset, comprising 1701 standardized Type Ia supernovae. In addition to the standard cosmological redshift z_Λ due to the expansion of the Universe, we introduced a frequency-(wavelength)-dependent component $z_q$ that accumulates along the line of sight as exp(PX), where P is the photon-to-nonradiative energy conversion coefficient (WMC). We parameterized P as an effective attenuation constant per unit length, analogous to the Beer–Lambert law. Photon number conservation in the beam was assumed, and the WMC frequency dependence was chosen to mimic interstellar reddening (with a coefficient β≈3) while being negligible in the microwave range, preserving the CMB blackbody spectrum. Regression analysis was performed via MCMC using both diagonal and full covariance matrices (including systematics). A key assumption was 'dust-mimicking magnitude compensation' (DMC): the standard supernova color correction inadvertently restores the true luminosity by compensating for WMC dimming, but leaves an excess redshift in the spectral lines.

Results

The global fit of the hybrid model (with flat ΛCDM parameters fixed to the Planck values: $Ω_m$=0.315, $H_0$=67.4 km/s/Mpc) yielded a WMC conversion rate $H_q$ = 4.9 ± 0.15 km/s/Mpc (in the diagonal mode). The metric Hubble constant H_Λ remains at 67.4 km/s/Mpc, and the near-zero distance modulus offset M~0 confirms the recovery of true luminosity. A crucial result comes from tomographic analysis: when dividing the sample into redshift bins in standard ΛCDM, a statistically significant positive drift of H_Λ(z) emerges with a slope of ~3.2 km/s/Mpc per unit z, equivalent to a 'phantom crossing' in dynamical dark energy models. In the hybrid model, this drift vanishes (slope ~0.0), and H_Λ in each bin remains compatible with the Planck value within ≲0.33σ. BIC comparison shows that the hybrid model with one extra parameter ($H_q$) is often preferred not only over fixed ΛCDM but also over extensions with variable dark energy. Additionally, diagnostic indices—luminosity distance ratio, angular diameter distance, time delay, and age—demonstrate that without accounting for WMC, high-z galaxies appear systematically more massive, more compact, and prematurely evolved.

Implications

The results indicate that the Hubble tension may not stem from distance measurement errors or new dark energy, but from a fundamental process: as electromagnetic radiation travels, part of its energy leaks into 'hidden' degrees of freedom that behave as effective mass (a dark matter analogue). This conversion, formally similar to pair production in strong fields (Schwinger mechanism) but operating on cosmological scales, naturally explains the observed discrepancy without altering the Universe's geometry. Moreover, the proposed mechanism offers a new perspective on the origin of dark matter as a slowly accumulated outcome of light interacting with the vacuum.

Future development

To test the WMC hypothesis, laboratory optical experiments are needed. Modern optical atomic clocks achieve 10⁻¹⁸ precision, potentially allowing measurement of the predicted frequency shift of order 10⁻¹⁵ over distances comparable to Pluto's orbit (~40 AU) via Deep Space Optical Communications. Multi-frequency heterodyne interferometry would separate the chromatic WMC signal from achromatic Doppler and gravitational shifts. Additionally, a reanalysis of weak gravitational lensing data is required to remove systematic distance-scale distortions in the local Universe (z≲1.7), which could resolve the S8 tension. Finally, if WMC indeed generates dark matter, it would reshape our understanding of structure formation.

Impact

The proposed hypothesis could affect nearly all areas of observational cosmology, from spectroscopy of distant galaxies to the interpretation of JWST and gravitational lensing data. A recalibration of the distance and mass scales for high-redshift objects will be particularly important.

Next steps

Immediate steps include: a full reprocessing of supernova luminosity calibrations with explicit frequency-dependent WMC, testing the model on other tracers (Mira variables, surface brightness fluctuations), and direct detection of the WMC signal in space-based laser experiments.

Key open problems

The WMC model is directly connected to unsolved problems in physics: the nature of dark matter, dark energy, and the quantum structure of the vacuum. If light truly converts into massive particles, it would require a revision of gravitational dynamics in the early Universe and could explain why we don't observe photon decay in the lab—the effect becomes noticeable only on cosmological scales due to cumulative action. This also raises questions about dissipative properties of spacetime itself.

The knowledge machine's view

This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.

What the work does

The paper proposes a hybrid approach to the Hubble tension: in addition to the standard cosmological redshift, an extra component is introduced, linked to photons losing energy along the way (WMC). Using the Pantheon+SH0ES data, the authors show that when the ΛCDM parameters are fixed to Planck values, adding WMC with a rate H_q ≈ 4.9 km/s/Mpc eliminates the drift of H_Λ(z) in the tomographic analysis, and H_Λ in each bin remains compatible with the Planck value. A key assumption is that the WMC dimming is compensated by the standard color correction of supernovae (DMC).

Where its strength is

The strength of the work lies in a concrete mechanism that, without altering the standard ΛCDM foundation, offers a unified explanation for the observed drift in H(z) and consistency with the cosmic microwave background. Especially valuable is the tomographic analysis, which shows the drift disappears when WMC is added.

Where it could go next

Worth trying

  • Test whether the value H_q ≈ 4.9 km/s/Mpc holds when using other supernova samples (e.g., Union3 or DES).
  • Investigate how WMC affects baryon acoustic oscillations (BAO) and whether independent confirmation can be found in BAO data.
  • Consider how the WMC mechanism aligns with constraints on spectral distortions of the cosmic microwave background from COBE/FIRAS.

Why this may matter

If the proposed mechanism is confirmed, it would allow preserving standard ΛCDM cosmology without introducing new dark energy, and would provide a new tool for analyzing systematics in supernova photometry.

Original abstract

as written by the authors arXiv:2606.02097v1

We test an operationally defined redshift duality in which the observed redshift comprises the standard metric-expansion component together with an additional line-of-sight quantum contribution arising from the cumulative conversion of photon energy into effective mass as a function of path length and frequency. Fitting this hybrid model to the Pantheon+SH0ES compilation, we find that the metric-expansion Hubble constant, $$H_\Lambda$$, is recovered to a value consistent with the Planck baseline of $$67.4~\mathrm{km\,s^{-1}\,Mpc^{-1}}$$ within $$\lesssim 0.33\sigma$$. Redshift-binned analyses show that while the flat Lambda cold dark matter ($$\Lambda$$CDM) model produces an apparent drift in the inferred Hubble parameter across the Hubble flow, the hybrid model restores the constancy of $$H_\Lambda$$ across redshift bins. The correctional trends of cosmological physical quantities re-inferred under this framework further indicate the potential to alleviate anomalies associated with high-redshift galaxies. These results suggest that redshift duality warrants further consideration in observational processing and inference, while preserving consistency with a Planck-anchored flat $$\Lambda$$CDM baseline.

In classical electrodynamics, wave propagation in an absorbing medium is described by the imaginary part of the refractive index. Applying this analogy to the vacuum, the predicted WMC attenuation rate corresponds to an effective viscosity of the Universe of only ~1.6×10⁻¹⁹ s⁻¹, making it the most dilute and nearly ideal 'fluid'.

(1+z_{\mathrm{obs}}) = (1+z_\Lambda)(1+z_q)
The observed redshift is split into metric and non-metric components.
F(X) = F(0)\,e^{-P X}
The flux decays exponentially with traveled distance.

Key numbers

  • Hubble constant from Planck: 67.4 km/s/Mpc
  • Hubble constant from SH0ES supernovae: 73.0 km/s/Mpc
  • Recovered metric Hubble constant: 67.4 km/s/Mpc
  • WMC attenuation parameter H_q: ≈5 km/s/Mpc
  • Distance modulus offset Δμ: ~0.17 mag
Scientists
Arthur ComptonFritz ZwickyVera RubinFred HoyleChristian DopplerAdam Riess
Concepts
hubble tension hubble constant measurement photometric distance cosmological parameters cosmic expansion uncertainty redshift lambda cdm hubble flow hubble constant five sigma binning