QTT and the Bullet Cluster: Substrate Lensing, Renewal Dust, and the Open Test

The plasma is slowed by ram pressure.

Most ordinary baryonic mass in the cluster system is hot X-ray gas. During the collision, this gas shocks and lags behind the galaxy components.

The stars mostly pass through.

Compact galaxy distributions behave effectively collisionlessly on merger timescales. Their projected profiles are much sharper than the shocked gas ridge.

The convergence peaks follow the galaxy side.

The hard sign test is not whether lensing exists. It is whether the dominant convergence can move away from the dominant X-ray gas and toward the collisionless galaxy swarms.

The occupancy coefficient is fixed.

The corpus audit forces Z_occ = 1/(16π). No extra 24-lock multiplier survives the log-Laplacian, and no hidden normalization should be inserted by hand.

The shock map is severely suppressed.

The energy-counting check collapses to κ_C = -ℓ_tilde F_RH^los/(c³Σcrit), which is Planck-ruler suppressed. It cannot be treated as a large free gas-side correction.

Fallback profiles overproduce κ_occ.

Using the fixed prefactor, a simplified profile model gives |κ_occ| around 10^4 to 10^5 at 5 to 10 arcsec smoothing, far above observed κ around 0.1 to 0.4. That is not a final closure; it is a serious full-map test.

ΛCDM

Wins the Bullet sign directly: collisionless dark matter follows the galaxies. QTT’s critique is not that this fails observationally, but that the abundance, Λ, and a0 remain independent dark-sector inputs.

No-hidden-mass MOND

Faces the sign problem because the dominant baryonic mass is shocked gas. Without an extra lensing source, the convergence wants to sit where the gas sits.

QTT

Adds substrate terms to the baryonic source and a closure-fixed RD residual. The price is a hard one: the same equations must match the absolute Bullet convergence map, not merely the qualitative peak side.

Structural sign route

QTT has a specific equation-level route for pushing lensing toward galaxy cusps and away from shocked gas.

Map-level closure

The actual stellar luminosity map and deconvolved gas map must replace fallback profiles before claiming numerical closure.

Absolute overproduction

The fixed occupancy coefficient can make the correction far too large unless the full map, smoothing, and source decomposition resolve it.

Not rhetoric-proof

A clean Bullet-style merger with the required profile class but robust gas-centered convergence would cut against the peak theorem.

Direct RD coupling

A reproducible non-gravitational Standard-Model coupling for the component carrying the RD mass budget breaks L_int,RD = 0.

Bullet sign failure

A high-quality Mach > 2 Bullet-style system with cuspy stellar profiles but gas-centered lensing at high significance would falsify the peak route.

Absolute κ mismatch

If κ_occ/κ_N remains orders of magnitude too large after real-map projection and smoothing, the current coefficient cannot be the final physical lensing map.

Closure failure

A failure of the ABC/WV closure, baryon invariant, or QTT derivation of G would undermine the RD clock anchor used here.

Renewal Dust paper

QTT Bullet conditional peak theorem, RD closure residual, and lensing-source decomposition.

10.5281/zenodo.20073889

Main QTT framework

Axioms, world-cell substrate, weak-field source language, and QTT reconstruction context.

10.5281/zenodo.17527179

G derivation

Artian-G theorem connecting G to the QTT micro-ruler and angular-capacity normalization.

10.5281/zenodo.20057431

Bullet observation

Clowe et al. weak-lensing observation of 1E 0657-558, the empirical target for the sign test.

10.1086/508162