1. Introduction: SVOM Mission and QFunity Context

The SVOM (Space-based multi-band astronomical Variable Objects Monitor) mission, launched to detect and study gamma-ray bursts (GRBs), provides a unique dataset to test QFunity’s predictions. GRBs are extreme cosmic events tied to the dynamics of the Espace-Particule-Temps (EPT), where torsional discharges and rotational energy play central roles.

2. Original QFunity Model for GRB Dynamics

Initial QFunity analysis (see Model EPT) proposed that GRBs result from torsional discharges in compact objects interacting with the EPT substrate.

Key Equation:

$$ \frac{d}{dt} B^\epsilon = -\nabla \times V^\epsilon + \kappa \rho_{\text{matter}} \omega_{\text{rot}} – \Gamma_{\text{diss}} B^\epsilon $$

Where \(B^\epsilon\) represents torsion, \(V^\epsilon\) the fractal potential, and \(\omega_{\text{rot}}\) the rotational energy source.

3. New Data Integration: GRB 250702B Analysis

🆚 Synthesis of Data: Original vs. New Findings

Original QFunity Model (from Old SVOM Page):

• Duration estimated: ~1 day.
• Sequence: X-rays followed by gamma-rays.
• Model: Repeated torsional discharges from a compact exotic object interacting with EPT.
• Energy: Not quantified.
• Progenitor: Exotic compact object (e.g., primordial neutron star).

New Study (arXiv:2509.22792):

• Duration measured: ~25,000 seconds (~7 hours), the longest GRB observed.
• Sequence confirmed: X-rays detected one day before the main gamma phase.
• Variability: Sub-second variability indicating a hyper-compact, rapidly rotating core.
• Energy: Extremely high, requiring ultra-relativistic jets.
• Progenitor: Helium merger model – a black hole falling into a stripped star, consuming it internally.

🔗 Integration into QFunity Model

The new data refine and validate QFunity’s EPT-based interpretation without contradiction.

1. Extreme Duration (~25,000 s) as EPT Signature

The prolonged duration exceeds standard collapsar models. In QFunity, this reflects energy release from a torsional reservoir within the local EPT (see Rotation).

Equation:

$$ \tau_{\text{discharge}} = \frac{\hbar}{\Delta E_{\text{EPT}}} \cdot \ln\left(1 + \frac{S_{\text{torsion}}}{S_{\text{critique}}}\right) $$

• \(\Delta E_{\text{EPT}}\): Characteristic EPT energy, linked to \(H_{\text{EPT}}\).
• \(S_{\text{torsion}} \propto \int |B^\epsilon| dt\): Accumulated torsional entropy.
• Interpretation: The 25,000 s duration indicates a massive torsional discharge exceeding \(S_{\text{critique}}\).

2. Sub-Second Variability and Central Engine

Sub-second variability suggests a hyper-compact rotating core. In QFunity, this arises from instabilities in the non-commutative EPT coupling.

Equation:

$$ \frac{\delta}{\delta t} [B^\epsilon V^\epsilon – V^\epsilon B^\epsilon] = J_{\text{instability}}(t) $$

• \(J_{\text{instability}}(t)\): Pulsed instability current causing rapid bursts.
• Interpretation: Micro-discharges reflect critical fluctuations in the master equation.

3. Progenitor (Black Hole-Star Merger) as EPT Interface

The helium merger model creates optimal EPT interaction conditions (see Black Hole EPT).

Equation:

$$ \frac{R_s \cdot \omega_{\text{rot}}}{c} \geq \Lambda_{\text{QP}} $$

• \(R_s\): Schwarzschild radius, \(\omega_{\text{rot}}\): Rotation speed.
• \(\Lambda_{\text{QP}}\): Quantum coupling constant, calibratable with GRB data.
• Interpretation: The merger triggers an EPT interface when rotational energy exceeds a threshold.

4. X-ray → Gamma Sequence: Validated Prediction

QFunity predicted X-rays (restructuring of \(V^\epsilon\)) preceding gamma-rays (discharge of \(B^\epsilon\)). The one-day delay confirms this.

Equation:

$$ \Delta t_{X-\gamma} = \frac{1}{\Gamma_{\text{EPT}}} \cdot |\log(\xi_{\text{critique}})| $$

• \(\Gamma_{\text{EPT}}\): EPT interaction rate, \(\xi_{\text{critique}}\): Symmetry breaking parameter.
• Interpretation: The delay reflects the time for \(V^\epsilon\) instability to trigger \(B^\epsilon\) discharge.

4. Unified Phenomenological Equation

GRB 250702B is a window into EPT dynamics, described by:

$$ \frac{d}{dt} B^\epsilon = -\nabla \times V^\epsilon + \kappa \rho_{\text{matter}} \omega_{\text{rot}} – \Gamma_{\text{diss}} B^\epsilon $$ $$ \frac{d}{dt} V^\epsilon = -\nabla \cdot B^\epsilon + \alpha E_{\text{grav}} – \eta V^\epsilon $$

• \(\kappa \rho_{\text{matter}} \omega_{\text{rot}}\): Rotational energy source from the progenitor.
• \(\Gamma_{\text{diss}} B^\epsilon\), \(\eta V^\epsilon\): Dissipation terms driving bursts.
• \(\nabla \times V^\epsilon\), \(\nabla \cdot B^\epsilon\): Non-commutative coupling explaining the X-γ sequence.

5. Conclusion

External Scientific References

• arXiv:2509.22792 – GRB 250702B: Discovery of a Gamma-Ray Burst from a Black Hole Falling into a Star
• IOP: 10.3847/2041-8213/adf8e1 – Astronomers Spot Mysterious Gamma-Ray Explosion

Internal QFunity Links

• Model EPT – EPT Dynamics and Bubble Genesis
• Black Hole EPT – Non-Singular Interfaces
• Everything is Rotation – Torsional Energy
• Hypotheses – Symmetry Breaking and EPT
• SVOM Mission – Original GRB Analysis