Historical content. This page belongs to the former “solved problems” section. The Tratado de Fundamentos (v35, Jun 2026) does not present these problems as solved: it develops them in full, classifies several results as conditional and keeps seven open fronts. The values of S and the thresholds quoted here may correspond to the earlier formulation. The current classification of each result is in the status of the results.

ECV: Virtual Quantum Energy

“Dark energy” is not a mysterious substance: it is primordial tension almost already released into space. It is the engine of expansion, identified as ρ_id.

This page is a translation of the Spanish original. Where they differ, the Spanish text prevails.

The Cosmological Constant Problem

The vacuum energy calculated from QFT is:

~10¹²⁰

times larger than the observed value of Λ. This is the worst prediction in the history of theoretical physics.

The Discrepancy

QFT (Prediction)

$$\rho_{vac} \sim \frac{M_{Pl}^4}{\hbar^3 c^5} \sim 10^{113} \text{ J/m}^3$$

Sum of zero-point modes up to the Planck cutoff

Observation

$$\rho_\Lambda \sim 10^{-9} \text{ J/m}^3$$

Measured via Ia supernovae and CMB (Planck)

The fine-tuning required to cancel 120 orders of magnitude is considered the greatest unsolved problem in fundamental physics.

Redefinition: ECV (ρ_id)

The MCMC redefines “dark energy” as Virtual Quantum Energy (ECV), identified with the idea density ρ_id:

Formal Definition of ECV

ECV (ρ_id): Contribution that behaves like cosmological vacuum energy, smooth, homogeneous, associated with accelerated expansion. It is almost already on the SPACE side.

$$\text{ECV} = \rho_{id} \quad \text{(Tension liberada al vacio)}$$

Function: It is the “Engine of the exterior” — it drives global expansion.

Origin: Sealed Energy

ECV is energy sealed in each collapse S_n that did not manifest as determinate mass, but does contribute to the background curvature:

$$\rho_{id}(z) = \rho_{\Lambda,0} \cdot \left[1 + \epsilon \cdot f(z)\right]$$

With ε ≈ 0.012 (1.2% dynamic variation) and w_id ≈ -1.

Why Is It Small?

In the Primordial State, Mp = Ep (almost perfect equilibrium). The primordial imperfection δ₀ generates a minimal tension:

$$\rho_\Lambda = \delta_0^2 \cdot \rho_{Pl}$$

Since δ₀ is extremely small, Λ turns out to be naturally small, which the earlier corpus presented as not requiring fine-tuning.

Resolution of the Fine-Tuning

ΛCDM

  • Λ is a free parameter
  • Requires cancellation of 120 digits
  • No explanation of the value
  • Cosmic coincidence problem

MCMC

  • Λ emerges from Mp/Ep
  • Smallness comes from initial symmetry
  • Value determined by δ₀
  • Coincidence explained by current S

Derivation of the Value

Starting from the Primordial State with imperfection δ₀:

$$P_{ME}(S=0^+) = \frac{Mp - Ep}{Mp + Ep} = \delta_0 \approx 10^{-60}$$

The dark energy density scales as:

$$\rho_\Lambda = \delta_0^2 \cdot \rho_{Pl} = (10^{-60})^2 \cdot 10^{113} = 10^{-7} \text{ J/m}^3$$

This is within an order of magnitude of the observed value, without parameter adjustment.

ECV = ρ_id
Released tension → Engine of the exterior

“Dark energy” is primordial tension almost already delivered to space

Coincidence Problem

Why Is Ω_Λ ≈ Ω_m Now?

In ΛCDM, it is a “coincidence” that we live when ρ_Λ ≈ ρ_m. In the MCMC, this is a consequence:

  • The S₂ → S₃ transition marked the onset of Λ domination
  • Complex observers require z ~ 0 (anthropic coincidence)
  • The MCMC predicts that we will always be close to equality

Difference from Alternative Models

Model Nature of DE w(z)
ΛCDM Cosmological constant w = -1 (exact)
Quintessence Dynamic scalar field Variable w(z)
MCMC Residual Mp/Ep tension w ≈ -1 + O(ε)

The MCMC predicts small deviations from w = -1, potentially detectable with DESI and Euclid.

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