ΦGENESIS: The Unified Framework of PFTG and FIRE-G

🚩 Introduction & Key Concepts

ΦGenesis represents the unification of two pioneering frameworks: PFTG (Pressure-Field Theory of Gravity) and FIRE-G (Field-Induced Radiant Entropy Gradient). Each originated from a distinct approach PFTG emphasizing mechanical pressure fields in flat spacetime, and FIRE-G emphasizing entropy gradients in curved spacetime. ΦGenesis binds these paths under a broader principle: that field gradients whether of pressure or entropy—govern the emergence of structure, interaction, and geometry in the universe.

Through scalar field harmonics, soliton structures, and thermodynamic flow, both frameworks suggest that familiar forces and particles arise from deeper field dynamics. ΦGenesis captures this synthesis unifying the language of pressure-induced mechanics with entropy-driven information dynamics into one field-based narrative.

📜 Evolution and Branch Summary

The evolution toward ΦGenesis begins at a shared gravitational base. From this origin, the theoretical development splits:

PFTG: Focused on pressure gradients in a scalar field Φ(x), modeling gravity as an emergent force in flat spacetime. It leads to practical tools for gravitational modeling and, in its TOE form, expands into harmonic gauge excitations and soliton-based particle analogs.
FIRE-G: Begins with entropy gradients and expands into curved spacetime, redefining gravity via thermodynamic flow. It extends to a complete entropy-based TOE, introducing entropy harmonics and topological knot structures as gauge-particle equivalents.

ΦGenesis is not a third path, but a synthesis. A bridge where these branches converge, offering a unified mechanism for emergence: entropy and pressure gradients as twin aspects of a deeper field-driven reality.

📖 Abstract

ΦGenesis is a unified theoretical framework that bridges two powerful models: PFTG and FIRE-G. It proposes that gravity and gauge interactions emerge from field gradients—pressure-based in one formulation, entropy-based in the other. The Pressure Field Theory of Gravity (PFTG) treats gravity as a force from spatial pressure variations, producing scalar solitons and harmonic excitations. FIRE-G builds on entropy gradients and thermodynamic flow to reinterpret gravitational and quantum phenomena within curved geometry. By weaving together these insights, ΦGenesis introduces a unified view of field-driven dynamics capable of reproducing gravitational lensing, galaxy rotation curves, entropy-particle structures, and potential quantum connections. Laying groundwork for a truly field-based Theory of Everything.

🧪 Simulated Evidence for ΦGenesis

Gravitational lensing distortion predicted by PFTG-enhanced model vs. baseline.

Mean χ² residuals comparing PFTG, MOND, and ΛCDM — showing tighter fit for PFTG.

Galaxy rotation curves predicted by PFTG outperform ΛCDM and MOND.

Variation in entropy-gravity coupling parameter λ′ across galaxy types.

🔭 Supporting Evidence & Predictions

These frameworks make predictions testable through astrophysical observations. Examples include gravitational lensing patterns distinct from General Relativity (e.g., Bullet Cluster lensing without dark matter), galaxy rotation curve fits, and specific cosmic microwave background (CMB) ripple signatures. Further numerical simulations are ongoing to refine these tests and connect theory with future data.

🔬 Glossary (Key Terms)

Scalar Field: A field with a single value at each point in space-time (like temperature).
Pressure Gradient: Variation of pressure that causes a force in fluids or fields.
Entropy Gradient: Difference in entropy that drives flow or evolution of systems.
Soliton: Stable, localized wave packet that maintains shape over time.
Gauge Harmonics: Oscillation modes representing force fields (analogous to electromagnetic waves).

More terms and mini FAQ will be added based on community feedback.

🤝 Join the Discussion & Collaborate

We welcome feedback, questions, and collaboration proposals! Join the ongoing discussion on GitHub or connect via X (Twitter). You can also submit questions or ideas directly by opening an issue or pull request.

📚 Citation

If you use or reference this work, please cite the following:

@article{harper2025pftg,
  title     = {The Pressure-Field Theory of Gravity: Toward a Field-Based Theory of Everything},
  author    = {Harper, Joey},
  year      = {2025},
  publisher = {Zenodo},
  doi       = {10.5281/zenodo.15765687},
  url       = {https://doi.org/10.5281/zenodo.15765687}
}