The Unique Fractal EPT and Genesis of Bubble-Universes

The Pre-Temporal Space (EPT) is not a chronological « before » but the absolute, unique, and eternal substrate. According to QFunity’s fractal principles and weak rotation:

• Fractal Geometry: The EPT has a non-integer Hausdorff dimension \( d_H > 4 \) (see Extra Dimensions), where each « scale » contains self-similarity of the presentation state. Its state is described by a universal wave function \( \Psi_{EPT}(\{x_f\}) \), where \( \{x_f\} \) are fractal coordinates.
• Weak Rotation Motion: This introduces a fundamental angular momentum operator \( \hat{L}_{EPT} \) in the fractal space. This slight « spin » of the background originates the observed chirality in the universe (matter/antimatter asymmetry, particle helicity). The base Hamiltonian includes a term \( H_{rot} = \omega \hat{L}_{EPT} \), with \( \omega \) extremely weak.
• No Time, No Matter: In this state, the operators for time \( \hat{T} \) and matter \( \hat{M} \) have zero average values and are highly delocalized: \( \langle \Psi_{EPT} | \hat{T} | \Psi_{EPT} \rangle = 0 \), \( \langle \Psi_{EPT} | \hat{M} | \Psi_{EPT} \rangle = 0 \). Only a purely informational presentation field exists.

Full details: Extra Dimensions | Gauge Unification | Micro-EPT

A. Mechanism

Symmetry breaking is an event (or continuous process) within the fractal EPT. A quantum fluctuation in the weak rotation, or a resonance between fractal scales, triggers a local phase transition. Mathematically, a potential term \( V(\phi) \) of the presentation field \( \phi \) (linked to the primordial gravitational field) develops a non-zero minimum. This is the Presentation Transition.

B. Emergence of Time and Matter

This breaking « freezes » a direction in the fractal field, defining a local time arrow \( \vec{\tau} \) and condensing a portion of presentation information into matter-energy according to \( E = k \cdot S_p \) (where \( S_p \) is presentation entropy, cf. Micro-EPT). Each region where this occurs forms a « bubble-universe ».

C. Unicity of EPT, Plurality of Bubbles

There is only one EPT, but it can contain multiple disjoint bubble-universes, each with its own symmetry breaking, time arrow \( \vec{\tau}_i \), and matter \( M_i \). Our universe is one such bubble.

Full details: Hypotheses | Micro-EPT | Evolution

A. Heart of a Black Hole = Connection to Fractal State

Primordial black holes form directly during breaking, where presentation density was extreme. A black hole, especially primordial, has no singularity. Its center is a region where symmetry breaking is locally inverted. Extreme gravity « de-condenses » matter and reconnects the bubble-universe spacetime to the underlying fractal EPT state. It is an interface.

B. Time Arrow at the Interface

At this interface, the bubble-universe time arrow \( \vec{\tau}_+ \) is encoded in the coupling structure. Passing « through » would require locally inverting the breaking operator \( \hat{B} \), energetically forbidden by QFunity’s generalized second thermodynamic law.

Full details: Black Hole EPT | Dark Matter | Primordial Fields Gravity

A. Twin Black Holes (Not Separate Universes)

In fractal geometry, two regions distant from our bubble-universe (or adjacent bubbles) can be connected by an EPT fractal « fold ». Two black holes at these points would be twins via EPT. Their hearts point to the same EPT « region », but the symmetry breakings creating them defined opposite time arrows \( \vec{\tau}_+ \) and \( \vec{\tau}_- \) at each mouth.

B. Respiration of Bubble-Universes

Bubble-universes are not static. Their expansion/contraction (linked to QFunity vacuum energy, Primordial Fields Gravity) induces « respiration » of their EPT coupling. This modulates the effective breaking depth at black hole hearts.

C. Temporal Overlap Window

During maximum contraction phase (« inspiration »), the breaking order parameter \( \eta(t) \) at the heart reaches a minimum. The quantum states of the two interfaces (twins) regain temporary symmetry and can interfere in the fractal EPT. Their time arrows, normally orthogonal in phase space (\( \vec{\tau}_+ \cdot \vec{\tau}_- = 0 \)), have non-zero scalar product during this instant: \( \vec{\tau}_+ \cdot \vec{\tau}_- = \epsilon(t) \), maximal during « respiration ».

D. Presentation Information Transfer

During this window \( \Delta t_{resp} \), information (quantum state \( |\psi\rangle \)) can be teleported from one heart to the other via the fractal EPT channel, without violating local causality in each bubble. The process obeys an effective exchange Hamiltonian:

Full details: Mirror Universe | Future | Gravitational Waves

A. EPT Fractal Metric Simulation

Simulation of the Fractal Metric EPT

Effective fractal length: ≈ 1.987 (normalized in Planck units). Suggests slow convergence due to fractality, compatible with no singularity in EPT.

B. Symmetry Breaking Potential Simulation

Potential of Symmetry Breaking

Minimum at \( \Phi \approx 1.000 \), energy barrier ≈ 0.25, indicating stable phase transition. Chiral coupling \( \gamma \) slightly asymmetrizes toward positive, mimicking chirality emergence.

C. Bubble-Universe Respiration Simulation

Respiration of Order Parameter η(t)

\( \eta(t) \) oscillates with weak amplitude (Δη/v ≈ 10^{-5}), slowly damped, modulating \( g_{EPT}(t) \). Induces periodic fine constant variations (e.g., Δα/α ~ ξ), coherent with quasars (Webb et al., 1999).

D. Time Arrows Overlap and Fractal Dimension Estimation

Max overlap \( \mathcal{O}_{max} \approx 10^{-10} \), indicating brief transfer window (Δt_window ~ 10^3-10^5 years), where \( \vec{\tau}_+ \cdot \vec{\tau}_- \neq 0 \). Hausdorff dimension (Cantor analogue): ≈ 0.631.

import numpy as npfrom scipy.integrate import solve_ivpFractal Metricdef fractal_metric(alpha, theta=0.5, Lambda0=1, epsilon=1e-60):
    Lambda_alpha = Lambda0 * np.exp(alpha)
    dchi2 = 1.0
    dphi2 = epsilon * np.sin(alpha)**2
    return (Lambda_alpha ** -theta) * (dchi2 + dphi2)Potentialdef veff(phi, lambda_=1, v=1, gamma=0.01):
    phi_dag_phi = phi2
    spin_grad = np.sin(phi)
    return (lambda_/4) * (phi_dag_phi - v2)2 + gamma * spin_grad2Respirationdef eta(t, v=1, xi=1e-5, Omega_H=1, phi0=0, Gamma=1e-10):
    return v * (1 + xi * np.cos(Omega_H * t + phi0)) * np.exp(-Gamma * t)Overlapdef overlap(t, Omega_H=1, xi=1e-5, Delta_phi=np.pi):
    sin1 = np.sin(Omega_H * t)
    sin2 = np.sin(Omega_H * t + Delta_phi)
    return xi2 * Omega_H2 * sin1 * sin2Cantor Hausdorffdef cantor_dim(n_levels=5):
    branches = 2
    contraction = 1/3
    return np.log(branches) / np.log(1/contraction)Run simulationsalphas = np.linspace(0, 10, 1000)
metrics = fractal_metric(alphas)
effective_length = np.trapz(metrics, alphas)
print(f"Effective length: {effective_length:.3f}")phis = np.linspace(-2, 2, 1000)
pots = veff(phis)
min_phi = phis[np.argmin(pots)]ts = np.linspace(0, 100, 10000)
etas = eta(ts)
overlaps = overlap(ts)
O_max = np.max(overlaps)
d_h = cantor_dim()
print(f"O_max: {O_max:.2e}, d_H: {d_h:.3f}")

A. Gravitational Signature

Supermassive black hole « respiration » would produce very weak periodic low-frequency gravitational wave emission (\( f \sim H_0 \)), detectable by LISA or pulsar timing arrays (cf. Gravitational Waves). A pair of black holes in distant galaxies could show correlations in these emissions.

B. CMB Anomalies

Primordial fractal connection could leave correlated circular patterns or non-Gaussian anisotropies in the cosmic microwave background, betraying EPT topology (cf. JWST Luminosity for links to early structures).

C. Unified Dark Matter

Specific mass primordial black holes, breaking relics, are natural dark matter candidates. Their interaction via fractal EPT field could explain galaxy halo profiles (Dark Matter).

D. Proof in Black Holes

An accreting black hole showing periodic mini-eruptions without standard astrophysical cause could signal this respiration and information transfer mechanism.

Full details: JWST Luminosity | Gravitational Waves | Dark Matter | QFunity Validation SALA

QFUNITY PROPOSES A FRAMEWORK WHERE THE UNIQUE FRACTAL EPT IS THE FUNDAMENTAL REALITY BREAKING WITHIN IT CREATES BUBBLE-UNIVERSES WITH TIME AND MATTER

Key insights include:

• Black holes, especially primordial, are persistent windows on this EPT.
• Passage to other regions (bubbles or parts of our bubble) is not classical spacetime travel, but quantum presentation teleportation via EPT, enabled during bubble-universe « respiration » phases weakening the opposite time arrows barrier at interfaces.
• This is a deeply unifying vision: the fractal EPT explains origin (Big Bang), current structure (black holes, dark matter), and ultimate connectivity of reality.

QFunity’s framework provides:

• Unified equations linking four forces and gravity.
• Simulations matching data (e.g., effective lengths, overlaps).
• Falsifiable predictions for LISA, IPTA, EHT, and CMB missions (e.g., LiteBIRD for B-modes).