Keep the sunlight. Change the escape.: sources & model

Freeze two model temperatures, change infrared transfer and release time. Follow every energy route, move the accounting boundary and compare the model with real atmospheric evidence.

What supports the explanation?

What this model assumes

1. Global mean, one grey layer, fixed reflectivity and declared heat capacities. No geography, seasons, circulation, cloud/humidity feedback, carbon cycle or numerical real-world CO₂ forecast.
2. Incoming solar includes ultraviolet, visible and infrared; the shorter/longer wavelength distinction is relative, not a claim that sunlight has no infrared.
3. The model omits atmospheric shortwave absorption, evaporation and moist convection. Dry adjustment is a chosen stability closure, not a calculated wind or weather field.
4. Changing a reservoir definition restarts the trial from its identified reference equilibrium. Visibility and accounting-boundary choices never change physics.
5. The Earth photograph and NOAA abundance series are observed evidence. The flux arrows, times and temperatures are model outputs, not satellite observations.
6. No CERES measured flux file or measured infrared spectrum is bundled. Source papers are linked with their scope; figures are not republished without rights.
7. The paper activity balances calculated route cards. A sealed sun-warmed jar would change several processes and is not validation of this atmospheric mechanism.
8. Two reservoirs with a declared grey layer: The surface is a thermal blackbody. One isothermal atmospheric layer absorbs a fraction ε of surface infrared and emits εσTₐ⁴ in each direction. Solar and thermal channels are separate. Atmospheric shortwave absorption is omitted after aggregate planetary reflection. The layer is a calculation, not a solid lid or an observed emission altitude.
9. Power per area and stored energy: Q=S₀/4, A=(1−α)Q, Eₛ=σTₛ⁴ and Eₐ=σTₐ⁴. OLR=(1−ε)Eₛ+εEₐ. Surface net is A+εEₐ−Eₛ−F꜀; atmosphere net is εEₛ−2εEₐ+F꜀. Their sum is A−OLR. W/m² is power per area; integrate over seconds to obtain J/m².
10. Parameter origins matter: S₀=1361 W/m² and α=0.30 are rounded reference choices. σ=5.670374419×10⁻⁸ W m⁻² K⁻⁴ is the displayed CODATA value. The chosen ε values 0.75 and 0.85, surface capacities 2×10⁸ and 4×10⁷, and atmospheric capacity 10⁷ J m⁻² K⁻¹ are illustrative. They are not fitted CO₂ concentrations, actual ocean depths or calibrated climate response times.
11. Dry adjustment has a specific rule: The optional closure limits Tₛ−Tₐ to 39.2 K: the dry lapse-rate scale 9.8 K/km times an author-chosen 4 km separation. On an active boundary, F꜀=(CₐRₛ−CₛRₐ)/(Cₛ+Cₐ) must be nonnegative; both temperatures then change at (A−OLR)/(Cₛ+Cₐ). A negative required transfer releases the cap. This is not resolved wind, moist convection or the original Manabe model.
12. Numerics keep energy when regimes change: The model uses RK 4 with event splitting for the dry cap. An initial over-threshold contrast transfers J=(Tₛ−Tₐ−D)/(1/Cₛ+1/Cₐ) upward, conserving CₛTₛ+CₐTₐ. Daily steps reproduce the selected independent reference histories. Integrated net input is checked against the change in reservoir energy.
13. Balance each reservoir, not just the total: At ε=0.75, Tₛ≈267.0064 K and Tₐ=250 K, the total incoming and outgoing power can match while the surface gains about 116.10 W/m² and the atmosphere loses the same amount. Zero total storage change alone does not establish thermal equilibrium.
14. Downward radiation is not a new source: A cooler atmosphere can emit toward a warmer surface. For Tₛ>Tₐ, the net longwave exchange εσ(Tₛ⁴−Tₐ⁴) is upward. Both directions belong in the ledger. Internal downward emission must not be counted again as new sunlight.
15. What the optical endpoints mean: At ε=0, a separate no-longwave-atmosphere reference has T≈254.578 K and no relevant atmospheric temperature or convection. It is not a real atmosphere-removal forecast. At ε=1, direct surface escape is zero, but the atmospheric emission to space continues.
16. No unsupported conversion to a CO₂ forecast: The calculated dry-adjusted temperature difference for ε 0.75→0.85 is about 4.4645 K. No ε-to-ppm relationship is supplied. It cannot be labeled the warming from doubling real CO₂. Real spectroscopy, abundance records and attribution analyses have distinct quantities and methods.

What has been checked

Analytical reference cases, conservation or transition invariants, finite drawing commands, bounded setup parsing, discovery and route integrity are checked automatically. These checks do not establish anatomical fidelity, learner outcomes or browser/device compatibility. Independent subject review, learner trials, comprehensive accessibility review and browser video encoding checks remain pending.

Each source supports the associated claim. Sources do not certify this implementation or its visuals.

About the cover illustration

NASA DSCOVR/EPIC RGB composite, acquired July 6, 2015. It combines real red, green and blue filtered exposures. The local original is unchanged; the cover is a resized format derivative displayed without a crop. NASA educational/informational media guidance applies; no endorsement implied. It is visual context, not a thermal-radiation measurement.