A Coherence-Based Framework for Quantum Foundation
By Kevin L. Brown, Independent Researcher
Published: November 2025 • 10.5281/zenodo.17613578
Introduction: Why Quantum Mechanics Still Lacks a Unified Interpretive Structure
Quantum mechanics is extraordinarily precise, but conceptually fractured.
We have:
- measurement theory to explain outcomes
- decoherence to explain classicality
- entanglement as a structural correlation
- wavefunctions living in Hilbert space
- uncertainty arising from operator algebra
- collapse models, relational models, epistemic models, many-worlds, QBism, and more
Each explains part of quantum behavior — yet none explains why all these pieces exist together.
What we still don’t have is one structural mechanism that ties:
- collapse,
- entanglement,
- uncertainty,
- and decoherence
into a single coherent dynamical story.
Unifed Quantum Dynamics (UQD) is the first attempt to fill that gap.
It introduces a geometric-informational framework in which all quantum behavior emerges from a single principle:
Quantum states evolve as informational entities constrained to a one-dimensional harmonic axis inside a degenerate informational geometry.
In plain terms:
UQD explains quantum behavior by showing that all quantum states evolve on a single “informational rail.”
Everything — collapse, entanglement, eigenstates, correlations — follows from that geometry.
The Core Leap: Constrained Informational Flow Creates Quantum Behavior
The central idea behind UQD is that a quantum state is not merely a wavefunction.
It is a tri-field informational state:
F=(I,E,M)F = (I,E,M)F=(I,E,M)
evolving on an informational substrate I\mathcal{I}I introduced in the Unified Informational Flow Equation (UIFE).
The geometry of I\mathcal{I}I is defined by a rank-1 informational metric: gμν=λHμHν,g_{\mu\nu} = \lambda H_\mu H_\nu,gμν=λHμHν,
which collapses the entire manifold onto a single informational axis: H=(1,2,3).H = (1,2,3).H=(1,2,3).
This creates a universal constraint on all evolution. Quantum behavior is the result of this constraint.
Just as UIM unifies mathematical flows, UQD unifies all quantum phenomena using one equation:
dFdTS=−PH(∇V),\frac{dF}{dT_S} = -P_H\big( \nabla \mathcal{V} \big),dTSdF=−PH(∇V),
where V\mathcal{V}V is the informational potential and PHP_HPH forces the system to evolve along the constrained “quantum axis.”
What Unified Quantum Dynamics Actually Lets Us Understand
UQD is not a new physics theory. It is a structural interpretive framework that shows why quantum mechanics has the shape it does.
It provides four major interpretive capabilities:
1. A Unified Explanation of Measurement (Collapse)
Collapse becomes:
- a projection onto the harmonic axis
- triggered by steep informational gradients
- instantaneous in informational time
No metaphysics. No branching universes. No hidden variables.
Collapse = geometric enforcement.
2. A Geometric Origin for Entanglement
Entanglement means:
- two systems share the same harmonic coordinate
- informational flow on the axis is global, not local
- correlations appear instantaneous
This matches standard QM predictions without implying signaling or exotic mechanisms.
3. A Structural Basis for Uncertainty
Uncertainty emerges naturally from:
- informational entropy,
- curvature on the informational manifold,
- constraints on allowable informational paths.
It is not philosophical — it is geometric and necessary.
4. A Derivation of the Schrödinger Equation
UQD includes the Schrödinger Bridge, which shows that: iℏ∂ψ∂ti\hbar \frac{\partial\psi}{\partial t}iℏ∂t∂ψ
is simply the low-entropy, fully harmonic limit of the informational flow equation.
Standard quantum mechanics is preserved exactly — UQD just shows why it works.
Why This Is Not “Just Another Interpretation”
UQD stands apart because:
1. It Provides a Single Structural Mechanism
Collapse, entanglement, uncertainty, and decoherence all arise from:
- the same metric
- the same potential
- the same projection operator
- the same informational time
One mechanism — many results.
2. It Is Fully Constructive and Fully Falsifiable
UQD can be checked by measuring:
- harmonic spectral signatures during collapse
- entropy-driven collapse timing
- entanglement deformation under informational stress
If these fail, the framework fails.
3. It Integrates Three Foundational Informational Frameworks
UQD unifies:
- UIFE (mathematical architecture)
- ACM (stability metrics: Ω, Γc, RIV)
- ANC (informational convergence geometry)
For the first time, these structures appear inside one rigorous quantum narrative.
The Bigger Picture
UQD proposes that quantum systems are informational objects evolving on a tightly constrained geometric substrate.
By expressing all quantum effects using one informational mechanism, UQD transforms quantum mechanics from a collection of interpretive stories into a coherent, testable informational geometry.