Trans-Planckian Problem of Inflation

The ΛCDM Tension

Inflation's observable predictions require evolving modes from physical wavelengths below the Planck length, through a quantum-gravity regime nobody can compute, under an assumed standard vacuum. The Trans-Planckian Censorship Conjecture (Bedroya and Vafa 2019) formalizes the objection, bounding inflation so severely that observable tensor models are excluded. The standard cosmology derives its initial conditions from a calculation whose ultraviolet foundation it cannot exhibit.

The ΛCDM Assumption That Creates It

The model buys its initial conditions from inflation, and inflation buys scale invariance by stretching arbitrary small lengths: the mechanism has no infrared origin for structure, so it must mine the trans-Planckian regime and assume the mining is safe. The problem is not a parameter but the mechanism's address.

SCT Resolution: M1 (Structure Never Visits the Planck Regime)

SCT dissolves the problem by sourcing structure at macroscopic scales from the start: perturbations are deposited by collision stages acting on thermalized matter, with the spectrum built from the cascade's scale hierarchy (P36, P37, P38) and the tilt counting its levels, n_s = 1 - 1/L. No mode is ever stretched from sub-Planckian lengths because no stretching occurs: the smallest scales in the mechanism are collision-thermalization scales, dozens of orders of magnitude above the Planck length, and the quantum-gravity regime is simply never consulted (P22, P56). The trans-Planckian problem is not solved but unasked, the way SCT generally treats inflation's pathologies: by not owning the mechanism that generates them.

The censorship conjecture, if true, costs SCT nothing and arguably assists it: TCC's bound against observable tensors sits comfortably with SCT's registered prediction of r below 10⁻⁵ from the cascade (no inflationary gravitational waves exist to censor), so the conjecture's tightening grip on inflationary model space differentially favors frameworks with infrared structure generation. The same replacement that dissolves the horizon and flatness problems retires this one.

This is the same no-inflation economy behind the B-mode absence and the cosmic-origin entry. There is no need to defend a vacuum choice in a regime physics cannot reach.

Falsifier

The registered kill is shared with the framework's tensor sector: a confirmed primordial B-mode detection at r above 0.01 would simultaneously certify a high inflationary scale (forcing the trans-Planckian issue inside ΛCDM) and falsify SCT's cascade origin outright, since the collision mechanism cannot produce a tensor background above 10⁻⁵. Conversely, ever-tightening tensor bounds leave inflation holding the trans-Planckian liability while SCT's prediction stands confirmed by silence.

Premise Grounding

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