Coherence Over Complexity: Why the Problem in Physics Isn’t the Math, It’s the Interpretation

A Coherence-Driven Method for Resolving Theory–Observation Tensions

Foundational tensions in physics frequently arise not from experimental failure but from the coexistence of multiple empirically successful formalisms whose physical interpretations become incompatible when applied across overlapping regimes. General relativity, quantum mechanics, and thermodynamics each possess well-confirmed predictive structure, yet remain conceptually misaligned with respect to time, causality, irreversibility, localization, and interaction.

This methodology treats such tensions as interpretive signals rather than as immediate evidence for missing dynamics or new entities. The central premise is that interpretive incoherence — rather than formal inadequacy — is often responsible for explanatory breakdowns at theory interfaces.

Coherence as a Governing Criterion

Coherence is adopted as a primary evaluative constraint, defined as the mutual compatibility of physical interpretation across distinct but overlapping theoretical frameworks. Interpretations that rely on incompatible assumptions, unphysical idealizations, or ad hoc partitioning of domains are excluded regardless of mathematical convenience.

Constraint-Based Conflict Resolution

Rather than modifying existing equations, this approach resolves conflicts by filtering interpretations through minimal physical constraints: finiteness of response, irreversibility of dissipation, and operational locality. Mathematical formalisms are retained as effective descriptions; their admissible physical meaning is restricted.

Iterative Stabilization

Once justified, interpretive constraints are treated as locked. Subsequent reasoning must respect previously established commitments, preventing conceptual drift and retroactive reinterpretation. Speculative exploration is permitted only when explicitly separated from the core framework.

Outcome

The outcome is a coherent interpretive scaffold rather than a unified theory. Progress is measured by the elimination of conceptual inconsistency and the restoration of continuity between formal description and physically defensible interpretation.

Field Equations (Minimal Closure)

∂²ₜ S − c²∇²S + βS³ = σ(x,t)|Ψ|²

∂²ₜ Ψ − v²∇²Ψ + μΨ + λ|Ψ|²Ψ = κSΨ