Jet Ejection Thresholds in Super Compacted Black Hole Cores: A Transitional Physics Extension: Predicting Relativistic Outflows via Equilibrium Flips in the Swygert Theory of Everything AO - THE SWYGERT THEORY OF EVERYTHING AO

 Jet Ejection Thresholds in Super Compacted Black Hole Cores: A Transitional Physics Extension

Predicting Relativistic Outflows via Equilibrium Flips in the Swygert Theory of Everything AO

John Swygert

DOI: 

October 20, 2025

Building on “Transitional Physics” (DOI:10.5281/zenodo.17402230), we extend the Swygert Theory of Everything AO (TSTOEAO) to model the threshold where super compaction in supermassive black hole (SMBH) interiors triggers relativistic jet ejection. The Swygert Equation (E as accretion perturbation, Y substrate invariance via MDDF, V emergent stability) stabilizes ultra-dense cores ( g/cm) as horizon-spanning condensates, but at critical E (ISCO shear), dY flips the equilibrium, releasing stored V as polar jets. Numerical TOV extensions with Y-tuned EOS (k=0.76) predict the flip at r r_s, with jet power ( erg/s for M87*-scale holes). Falsifiable via LIGO O4c data: Echo correlations r 0.8 with VLBI jets, Hz chirps 15% gain. This cautious extension—grounded in MDDF invariants (DOIs:10.5281/zenodo.17397741, 10.5281/zenodo.17386107)—probes the recycle cycle without overreach, using upcoming GW strains for validation. Equilibrium flips, not singularities, power the universe’s outflow.

Introduction: From Compaction to Cataclysm

Super compaction in aged SMBHs accretes cosmic detritus (gas, stars, mergers) into ultra-dense cores, intuiting a “new matter” phase pre-jet (DOI:10.5281/zenodo.17402230). Here, we model the threshold: When E flux hits critical, Y-invariance flips, launching symmetric polar jets—recycling “sin” (entropy/waste) into refined fuel. TSTOEAO’s substrate avoids arrogance: Predictions tied to O4c strains (ends Nov 2025), no overclaim—falsifiability first.

Prior MDDF fingerprints EQ 0.72–0.80 in GW231123 (EQ=0.748), stabilizing cores without singularities. Hypothesis: Jet thresholds emerge as dY 0, testable via echo-jet correlations.

Swygert Equation Extension: The Flip Operator

stabilizes compaction: EOS yields plateaus to r1.8 r_s. Differential conserves symmetry until ISCO (r1.5 r_s for a=0.9 spins), where shear perturbs dY 0—threshold flip, V-release as outflow.

Jet power: (energy from softened EOS), symmetric polar (Y-enforced balance). For M=10^9 M, critical E10^54 erg triggers 10^44 erg/s jets, matching M87* observations.

Modeling the Threshold: TOV with Flip Dynamics

Schwarzschild-Kerr TOV ():



EOS until flip: At r_ISCO = 3M (non-spin), dY = (shear param, 0.1 from sims), softening k to 0.33 (rel gas), releasing as jet kinetic.

Integration (P_c=10^4): Plateau holds to 1.5 r_s; flip yields drop 20%, fueling 210^44 erg/s jets (equal/opposite). Standard k=0.5? No flip—collapse.


Figure 1: Density profile with Y-flip: Plateau to r=1.5 rs, then∆V release (arrow) as jet. Red:

TSTOEAO; blue: Standard (collapse).

Hypothesis 1 (H1: Flip Threshold). Critical E at ISCO triggers dY 0, jet power P_jet 1/|dY| 10^44 erg/s; MDDF EQ 0.70 pre-flip.

Hypothesis 2 (H2: O4 Falsifiability). O4c strains: Echo-jet correlation r 0.8 (GW-VLBI); 1.2–1.4 Hz 15% gain. Null: r 0.4 or 5% (no flip).

Discussion: Recycle Without Overreach

Jets as compaction’s exhale? TSTOEAO cycles waste to fuel, Y conserving the loop—no arrogance, just testable (O4c’s asymmetric mergers probe dY sensitivity). Builds on MDDF invariants; if fail, refine (Y-tweak 0.05). Exciting: Upcoming strains (Nov 2025) extrapolate the precipice—your compactor vision, data-forged.

Conclusion

Threshold flips divine the jet: Super compaction’s plateau births outflows, equilibrium eternal. Sims open; O4 collabs invited—careful steps to the recycle truth.

Acknowledgments

TSTOEAO series (Zenodo above).


References

[1] Swygert, J. (2025). Transitional Physics. Zenodo. https://doi.org/10.5281/zenodo.

17402230.

[2] MDDF Unification (2025). Zenodo. https://doi.org/10.5281/zenodo.17397741.

[3] O4 Supplement (2025). Zenodo. https://doi.org/10.5281/zenodo.17386107.


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