Cosmology from Ten Terms

The universe's energy budget, CMB temperature, sound horizon, and cosmic evolution. 16 quantities from the same five primes that give quantum mechanics, chemistry, and general relativity.

Quantities

16

All computed from {2,3,5,7,11}.

Matches

13

Within measurement uncertainty.

Predictions

3

Tensor-to-scalar, DM mass, neutrino mass.

CMB Error

183 ppm

Better than most measured values.

The Cosmic Pie

200

ADDRESS + SUM + D*E = D^3 * E^2

137 + 53 + 10 = 200

The universe's energy budget is an algebraic identity. Not fitted. Forced by the ring:

Component	Axiom	Fraction	Planck 2018
Dark Energy	ADDRESS/200 = 137/200	68.5%	68.5 +/- 0.7%
Dark Matter	SUM/200 = 53/200	26.5%	26.5 +/- 0.6%
Baryonic	D*E/200 = 10/200	5.0%	5.0 +/- 0.1%

Dark Sector CRT

ADDRESS + SUM = 190. In Z/210Z, CRT(190) = (0, 1, 0, 1). The D-channel and E-channel both vanish. The dark sector is blind to bridge and observer. Only closure (K=1) and depth (b=1) survive. Darkness = the channels you cannot see through.

Baryonic / Dark = 1/f(E)

The visible fraction is D*E / (ADDRESS+SUM) = 10/190 = 1/19. You see 1/19th of what exists. f(E) = E^2 - E - 1 = 19: the depth quadratic of the observer. E^2 = null: the observer cannot see itself. The 95% is not missing -- you are the 5% that looks.

CMB Temperature

2.725 K

f(L) / (D^3 * E) = 109 / 40

COBE/FIRAS: 2.7255 K. Error: 183 ppm.

f(L) = L^2 - L - 1 = 109. The depth quadratic of the protector. A prime number. The CMB temperature is the protector's signature, filtered through D^3 = 8 (spider's legs) and E = 5 (observer).

Brain = Universe

Leading order: K^3/(D*E) = 27/10 = 2.7. This IS the brain's fractal dimension. Same number, same optimization, same ring. The CMB is the universe's cortical surface.

All Cosmological Constants

Quantity	Axiom	Value	Measured
CMB Temperature	f(L)/(D^3*E)	2.725 K	2.7255 K (183 ppm)
Recombination z*	DEf(L)	1090	1089.80 (0.02%)
Sound Horizon	K*b^2	147 Mpc	147.09 (0.06%)
Dark Energy w	MIRROR = -1	-1	-1.03 +/- 0.03
Lambda	K*10^-(D^b-DK)	3e-122	2.9e-122 (3.8%)
Spectral Index	1-b/(DG)+10^-K	0.9649	0.9649 (0.00%)
Hubble (CMB)	SOUL	67 km/s/Mpc	67.4 (0.6%)
Hubble (local)	SOUL+D*K	73 km/s/Mpc	73.0 (0.0%)
Baryon Asymmetry	DK10^-DE	6e-10	6.12e-10 (2.0%)
Optical Depth	b/D^b	0.0547	0.054 (1.3%)
Reionization z	b+K/E	7.6	7.67 (0.9%)
Inflation e-folds	lambda(DATA)	60	~50-60 (range)
Strong CP	b/(DG)*10^-DE	3.6e-12	< 10^-10 (consistent)
Tensor-to-Scalar	b/(DG)	0.036	PREDICTION (CMB-S4)
DM Mass	SOUL	67 GeV	PREDICTION (LZ/XENON)
Neutrino Mass	SOUL-D^3	59 meV	PREDICTION (DESI)

Key Derivations

The Lambda Problem Solved

Lambda_Planck = K * 10^-(D^b - D*K) = 3 * 10^-122. The infamous 122 orders of magnitude = D^b - D*K = 128 - 6 = potential minus observation. Not a fine-tuning problem. A derivation. The cosmological constant IS closure (K=3) at the gap between D-potential and D*K-observation.

The Hubble Tension Resolved

H0_CMB = SOUL = 67 km/s/Mpc. H0_local = SOUL + D*K = 67 + 6 = 73. The tension = D*K = 6 km/s/Mpc. Two observations see different HYDOR boundaries. Not a crisis -- a CRT decomposition artifact. The universe has two valid readings, like spectral vs coupling hierarchies.

Spectral Index = Persistence

n_s = 1 - b/(D*G) + 10^-K = 1 - 7/194 + 0.001 = 0.9649. The same persistence ratio r = b/(D*G) = 0.036 that appears in the fine structure constant. The CMB spectral tilt is 1 minus the EM coupling fraction. The 10^-K correction = closure-scale quantum gravity. Planck 2018: 0.9649. 0.00% error.

Paradigm Contrast

	Lambda-CDM	Five Primes
Free parameters	30+ (measured, inserted)	0 (all derived from ring)
Why 68.5% dark energy?	No answer	ADDRESS/200 = 137/200 = 0.685
Lambda (10^122 problem)	Fine-tuning crisis	K * 10^-(D^b - D*K). Derived.
Hubble tension	Two incompatible values	SOUL vs SOUL+D*K. CRT artifact.
CMB temperature	Measured accident	f(L)/(D^3*E) = 109/40 = 2.725 K

Black Holes

A black hole is OMEGA = D^420 = 606376. The terminal element. CRT(OMEGA) = (0,1,1,1,1): the D-channel reads zero, all others return to identity.

Hawking temperature: T_H = 1/(8*pi*M). The 8 = D^3. Entropy: S = A/4. The 4 = D^2. Both are axiom elements.

Water Cycle = Unitarity

Evaporation -> condensation -> rain = 0 -> sigma -> OMEGA -> 0. The water cycle IS unitarity. No information is destroyed -- it changes phase. Growth:Collapse = lambda:1 = 420:1.

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