Crisis in cosmology fixed.

Toy Metric Fix for the Crisis in CosmologyA Subspace Leakage Model That Resolves Hubble Tension & JWST Early GalaxiesBy: [Your Name] | October 30, 2025

Abstract: We present Subspace Leakage Cosmology (SLC) — a simple, physically motivated toy metric that resolves two major crises in modern cosmology using one mechanism: gravity leaking between our universe and a parallel “subspace” brane.

(note math may not have transferred correctly)

• Hubble Tension: Local

  H0=73.5H_0 = 73.5H_0 = 73.5

  km/s/Mpc vs CMB

  H0=67.4H_0 = 67.4H_0 = 67.4

• JWST Crisis: Mature, metal-rich galaxies at

  z>13z > 13z > 13

  (only ~300 Myr old)

SLC fixes both by introducing radial gradients in expansion rate $ H(r,t) $ and proper time flow

γ(r,t)\gamma(r,t)\gamma(r,t)

, driven by time-dependent gravity leakage. No new particles. No fine-tuning. Fully testable.

1. The Two Crises

Crisis

ΛCDM Prediction

Observation

Hubble Tension

H0≈67.4H_0 \approx 67.4H_0 \approx 67.4

(CMB)

H0=73.5±1H_0 = 73.5 \pm 1H_0 = 73.5 \pm 1

(local) — 6σ clash

JWST Crisis

z=13z=13z=13

→ universe 320 Myr old → no time for old stars

Massive, quiescent, metal-rich galaxies

ΛCDM is breaking.

2. Subspace Leakage Cosmology (SLC)Core IdeaGravity leaks between our brane and a hidden “subspace” — like a wormhole to the pre-Big-Bang state.

• Early: Leak fills volume → accelerates expansion (Early Dark Energy)

• Late: Leak clusters in center → mimics dark matter

Leakage Profile

ρleak(r,t)=ρL(t0t)3exp⁡(−r2RL2(t))\rho_{\text{leak}}(r,t) = \rho_L \left( \frac{t_0}{t} \right)^3 \exp\left( -\frac{r^2}{R_L^2(t)} \right)\rho_{\text{leak}}(r,t) = \rho_L \left( \frac{t_0}{t} \right)^3 \exp\left( -\frac{r^2}{R_L^2(t)} \right)

RL(t)=R0(tt0)1/3R_L(t) = R_0 \left( \frac{t}{t_0} \right)^{1/3}R_L(t) = R_0 \left( \frac{t}{t_0} \right)^{1/3}

3. Local Friedmann Equation

H2(r,t)=8πG3[ρb(t)+ρleak(r,t)]H^2(r,t) = \frac{8\pi G}{3} \left[ \rho_b(t) + \rho_{\text{leak}}(r,t) \right]H^2(r,t) = \frac{8\pi G}{3} \left[ \rho_b(t) + \rho_{\text{leak}}(r,t) \right]

• Edge:

  ρleak\rho_{\text{leak}}\rho_{\text{leak}}

  high early → faster expansion → higher redshift

• Center (us):

  ρleak\rho_{\text{leak}}\rho_{\text{leak}}

  high late → deeper potential → slower clocks

4. Proper Time Rate

γ(r,t)=1+Φeff(r,t)c2\gamma(r,t) = 1 + \frac{\Phi_{\text{eff}}(r,t)}{c^2}\gamma(r,t) = 1 + \frac{\Phi_{\text{eff}}(r,t)}{c^2}

• Edge:

  γ>1\gamma > 1\gamma > 1

  early → clocks run fast → galaxies evolve in 300 Myr

• Center:

  γ<1\gamma < 1\gamma < 1

  → clocks run slow → distances underestimated →

  H0H_0H_0

  appears high

5. How SLC Fixes the CrisesHubble Tension

• We live in the slow-time center

• Distance ladders use local clocks → measure shorter distances →

  H0H_0H_0

  too high

• CMB sees volume average → includes fast-edge voids →

  H0H_0H_0

  lower
  → Same physics explains 73.5 vs 67.4

JWST Crisis

• z=13z=13z=13

  galaxies = edge material

• Born in fast proper time → 800+ Myr evolution in 320 Myr coordinate time

• Boosted expansion from

  pleak<0p_{\text{leak}} < 0p_{\text{leak}} < 0

  → higher z

• Dense birth → compact, metal-rich

6. Predictions (Testable!)

Observable

SLC Predicts

ΛCDM

H0H_0H_0

gradient

Decreases with distance

Flat

Galaxy age

Older at larger $ r $

Uniform

Void $ H $

Higher in voids

Same

JWST

z>15z>15z>15

More mature, higher z

Struggle

Look for “onion layers” in deep fields.

7. ConclusionSubspace Leakage Cosmology is a minimal, elegant fix:

• One field (

  ρleak\rho_{\text{leak}}\rho_{\text{leak}}

  )

• No new particles

• Explains dark matter, early dark energy, time gradients

• Resolves both crises with radial inhomogeneity

The universe isn’t uniform. It’s a leaking sphere — and we’re in the slow center.

References

1. JWST JADES, CEERS papers (2023–2025)

2. Riess et al. (2022) – SH0ES

   H0H_0H_0

3. Planck Collaboration (2020)

4. Randall & Sundrum (1999) – Brane gravity leakage