Historical content.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.

Origin of Time

Why does time exist? What generates it? Why does it have a direction?

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

The Problem

In fundamental physics, time is treated as an external parameter. Relativity merges it with space, but does not explain its existence or its directionality (arrow of time).

Unanswered Questions

  • What is time? — Substance, relation, or illusion?
  • Why does it flow? — The equations are symmetric under t ↔ -t
  • Why are there a past and a future? — The arrow of time
  • Did it exist before the Big Bang? — The boundary condition

Traditional Approaches

Newtonian

  • Absolute, external time
  • Flows uniformly
  • Independent of the observer

Relativistic

  • Time relative to the observer
  • Merged with space (4D)
  • Still a parameter, not emergent

The MCMC Solution

The MCMC proposes that time is born at S = 1.001 (third entropic seal) together with the relative dual metric 3+1D:

The Third Seal: S = 1.001

Time does not exist from the beginning. It is born at the seal S = 1.001 when the relative dual metric with signature 3+1D emerges:

$$S_{tiempo} = 1.001 \quad \Rightarrow \quad g_{\mu\nu} \rightarrow \text{signatura } (-,+,+,+)$$

Before this threshold, the space-time distinction does not exist. At S = 1.001, the relative dual metric emerges, separating time from space.

Ontological Gradient

Once born, time arises from the difference between “being as mass” (Mp) and “being as space” (Ep):

$$dt \propto d\left(\frac{Mp - Ep}{Mp + Ep}\right) = dP_{ME}$$

The “flow of time” is the continuous conversion of potential into manifestation, activated at S = 1.001.

Relational Time

In the MCMC, time is relational, not absolute:

$$\Delta t = \int_{S_{tiempo}}^{S} \frac{dS'}{\dot{S}'} \quad \text{(desde } S = 1.001 \text{)}$$

Time “passes” because entropy increases. The integral begins at the birth seal S = 1.001.

The Arrow of Time

Origin of Directionality

The direction of time reflects the direction of relaxation of the primordial tension:

$$\vec{t} \parallel \vec{S}: \quad S_0 \rightarrow S_{100}$$

The temporal arrow points in the direction of tension relaxation, from the Primordial State (S₀) toward the final equilibrium (S₁₀₀).

Entropic Increment

Irreversibility emerges from the entropic increment:

$$dS \geq 0 \quad \Rightarrow \quad dt > 0 \quad \text{(para } S > 1.001 \text{)}$$

In the Primordial State (S = 0), there is no time because there is no space-time distinction. Time is “born” at S = 1.001.

Birth at S = 1.001
Relative dual metric 3+1D

Time is born at the third entropic seal, together with the space-time separation

Entropic Structure and Time

Entropic Chronology: Seals → Processes → Collapses

  • S₀: ROOT — timeless, Mass-Space integration
  • S₀.₀₀₁: SEAL₁ — V₀D (point) emerges
  • S₀.₀₀₉: COLLAPSE C₀ — Planck scale
  • S₀.₀₁₀: SEAL₂ — V₁D (motion) emerges
  • S₀.₀₉₉: COLLAPSE C₁ — CPT violation, c fixed
  • S₀.₁₀₀: SEAL₃ — V₂D (rotation) emerges
  • S₀.₉₉₉: COLLAPSE C₂ — electroweak scale
  • S₁.₀₀₀: SEAL₄ — V₃D (volume) emerges
  • S₁.₀₀₁: COLLAPSE C₃ — Birth of time, 3+1D metric
  • S → 100: Current universe — fully developed time

Time has not “always” existed; it has a precise point of birth in the collapse C₃ of the entropic evolution of the universe.

The Mechanism: Expansion and Decay

Time = Change through Expansion

What we interpret as time is the change that occurs in the system due to the expansion of space:

  1. The CPT violation at S₀.₀₉₉ fixes c and generates irreversibility
  2. This coupled energy causes the expansion of space
  3. As it expands, the energy density decays
  4. This decay produces the changes = time
$$\text{Tiempo} = f(\text{Expansion}, \text{Decaimiento de } \rho)$$

Vacuum Energy and Mass Gap

The quantum vacuum energy is the energy coupled to space, coming from the energy below the manifestation threshold (Mass Gap):

  • Sub-gap energy → coupled to space
  • Its decay generates time
  • It is the same ECV (Virtual Quantum Energy)
  • The current rate is so low that it appears constant (Λ)

Before the Big Bang?

Standard Cosmology

  • “Before” makes no sense
  • t = 0 is a singularity
  • Time begins there
  • Poorly formulated question

MCMC

  • S < 1.001: there is no time
  • S = 0: timeless (no singularity)
  • Time is born at S = 1.001
  • “Before” = pre-temporal state

Philosophical Connection

The Path and Time

In the philosophy of the MCMC, time is the Path (道) through which Being manifests itself. The present is the only “real” moment; past and future are projections of memory and anticipation.

This vision connects physics with Eastern philosophical traditions and Western phenomenology.

Implications

  • Problem of time in QG: Solved — time emerges
  • Thermodynamic arrow: Derived from dS ≥ 0
  • Quantum timelessness: At S ~ 0, timeless effects
  • Time travel: Impossible — it would require dS < 0
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