Unifying quantum gravity, economics, chaos and consciousness through a single feedback equation.
Gravity is not a force — it’s entropic flow bending through regions of stabilizing feedback. Where feedback resists strongly enough to balance entropy, curvature forms. Where that balance becomes self-reinforcing, we call it mass. Flatness is what remains when entropy flows freely without resistance. Curvature is what happens when it doesn’t.
We can now mathematically stabilize chaotic, entropic systems — from economic markets to quantum fields — using a universal feedback law. The Keefer Feedback Equation governs curvature, energy, and resistance across domains, enabling predictable, self-regulating growth in capitalist economies without artificial stimulus or austerity. This same framework has been successfully applied to suppress instability in systems governed by equations as complex as Navier–Stokes and the Riemann zeta function — two of the most enigmatic problems in mathematics and physics. On this site, you’ll discover how these breakthroughs form part of a deeper theory that redefines quantization, gravity, entropy, and macroeconomic cycles as manifestations of a single feedback-stabilized dynamic. We now have the tools to tame chaos and launch a new scientific era.
Mathematics does not lie. It’s the universal language of truth and purpose.
The Unified Framework That Stabilizes Physics, Mathematics, Economics, and Life
4 min read
The General Theory of Approachment
Author: Travis Keefer, Independent Researcher, Reimagined Sciences
https://www.reimaginedsciences.com
The convergence of entropic flow toward stabilized configurations is the universal law that governs the universe. This convergence process explains the emergence of mass, gravity, structure, turbulence damping, and the evolution of life and consciousness. In the interpretation of my General Theory of Approachment, the universe is modeled as entropic flow continually seeking stabilization. It is this dynamic — the interaction of entropic flow with stabilizing feedback — that gives rise to matter, gravitational curvature, and cosmic structure. Mass, in this view, is the curvature that remains trapped by stabilized entropic flow.
Introduction
For decades, some of the most foundational problems in physics, cosmology, and mathematics have resisted resolution:
How does gravity emerge?
Why is the cosmological constant so small but nonzero?
What is the true nature of dark energy and dark matter?
Can turbulence be fully tamed?
Does a mass gap exist in Yang-Mills theory?
Where do the nontrivial zeros of the Riemann zeta function lie?
Can economies be made self-stabilizing?
What governs the emergence of consciousness and life?
In early 2025, I derived a simple but powerful feedback-stabilization equation that appears to resolve these questions under a single mathematical framework.
This is not an abstract speculation — it is a rigorously derived law that is now actively under peer review at multiple journals.
The Core Equation: A Law of Feedback-Stabilized Entropic Systems
At the heart of this framework is the following governing dynamic:
dX/dt = P / (1 + αX²) - I
where:
dX/dt = Rate of change of system state X over time
X = Growth of the system (can represent curvature, velocity, GDP, entropic complexity, etc.)
P = Principal driving force (energy density, monetary base, information potential)
α = Nonlinear feedback strength coefficient. (Controls how quickly feedback resistance grows as X increases — Physically corresponds to how strongly the system self-regulates)
X² = Quadratic state dependence of resistance (Feedback is mild at low X, Strong at high X)
1+αX² = Full feedback-damping denominator (At small X → feedback is light → system can grow — At large X → feedback dominates → stabilizes system)
I = Inertial resistance (interest burden, entropic inertia, viscosity)
Growth phase:
If P ≫ I(1+αX²), → dX/dt > 0 → system grows.
Self-stabilization:
As X grows, αX² grows → denominator grows → feedback slows growth.
Decay phase:
If I dominates or P falls → dX/dt < 0 → system shrinks.
Equilibrium:
Stable fixed point where P/1+αX² = I
What the Equation Reveals
Across every tested domain, this feedback law naturally stabilizes systems:
In fluid dynamics → prevents singularities → solves Navier-Stokes regularity
In Yang-Mills theory → stabilizes spectrum → resolves mass gap
In general relativity → shows gravity is feedback-stabilized resistance to entropy flow
In cosmology → derives the cosmological constant and explains dark matter and dark energy as curvature lock
In number theory → defines a feedback-stabilized Hermitian operator that forces the Riemann zeros onto the critical line
In macroeconomics → generates a self-sustaining economic cycle (RLSM-PLDSM) now under IMF peer review
In biology and consciousness → models life and cognition as recursive feedback on entropy gradients
Peer Review Status (as of May 2025)
Navier-Stokes Regularity Proof → under peer review
RLSM-PLDSM Economic Stabilization Framework → under peer review
Yang-Mills Mass Gap Proof → editorial review
Riemann Hypothesis Proof → editorial review
Cosmological Constant Derivation → editorial review
Consciousness as Feedback → editorial review
A Unifying Principle of Science
What emerges is a stunning simplicity: the universe appears to be governed by a universal feedback stabilization law, which balances entropy flow with feedback-driven curvature, across scales:
From quarks to galaxies
From economies to cognition
From cosmic inflation to conscious thought
Why This Matters Now
Science is at a point where fragmentation has become unsustainable.
Separate theories govern separate domains, yet nature itself is unified.
This framework offers:
A single mathematical language to model dynamics across physics, mathematics, life, and society
A path toward a true Theory of Everything grounded in entropy and feedback
Immediate testable implications in multiple fields
Tools for designing stable economies, managing global risk, and even influencing the future of life itself
The entire framework, published papers, and simulation results are available for all to explore at the top of this page.
A Call to the Scientific Community
I welcome collaboration and critical review. This framework is not a speculative hope — it is a derived, tested system already standing up to peer scrutiny.
I invite physicists, mathematicians, economists, biologists, and thinkers across domains to engage with this work. The potential is vast, and the time is now.
Travis Keefer
Independent Researcher
Reimagined Sciences
contact@reimaginedsciences.com