Temporal Feeding, Dual Time Reflections and the Hubble Tension within the Temporal Reflected Spectrum Model (TRSM)

     Recent cosmological observations exhibit a persistent discrepancy between the value of the Hubble constant inferred from early-universe probes (cosmic microwave background, CMB) and late-universe measurements (distance ladder, lensing time-delays, etc.). This discrepancy, commonly known as the “Hubble tension”, is at the level of several percent and appears robust against known sources of systematic error. In this paper we revisit the Hubble tension within the framework of the Temporal Reflected Spectrum Model (TRSM), a cosmological model in which our observable universe is realized as a negative–time reflection (a temporal archive) of a more advanced positive-energy universe.

     Within TRSM the dark sector is not introduced ad hoc but emerges from the structure of time itself. A universal cutoff energy Ecut defines the deposition of reflected energy into a negative-time archive, leading to a primary linear time reflection associated with a stable dark-energy background and a secondary quadratic reflection associated with the build-up of dark matter.

   We show how a simple single-reflection TRSM background already generates a small effective shift in the inferred Hubble constant between early and late epochs, and then introduce a dual-reflection extension in which the secondary time reflection grows with the size and complexity of the emerging positive-time universe. The accumulated negative time archive leads to an effective repulsion between stacked negative-time layers, naturally enhancing the late-time expansion rate.

     We derive a set of background equations connecting temporal feeding, the dual reflection structure, and the effective Hubble parameter H(z), and we show how the difference between H0 inferred from early and late cosmic epochs can be reinterpreted as a difference between early and late temporal feeding rates rather than as an inconsistency in the cosmic expansion itself.

This provides a unified TRSM-based interpretation of the Hubble tension, where the observed discrepancy becomes a direct probe of the growth of the negative-time archive and the interplay between primary and secondary time reflections.