The Izaguirre Retroactive Meta-Theory of Everything (IRMTOE): A Universal Framework for Post-Threshold Causality and Emergent System Behavior

This paper presents the Izaguirre Retroactive Meta-Theory of Everything (IRMTOE). A cross-disciplinary framework designed to explain why events occur based on surpassing a defined threshold of influence or “persuasion.” The theory applies to physical systems, biological processes, social behavior, cognitive events, and emergent phenomena. Unlike traditional predictive models, the IRMTOE functions retroactively: once the threshold for a given outcome is known, the model can determine whether the conditions present are sufficient to cause it. The framework is governed by a generalized mathematical equation that incorporates persuasive force, resistance, environmental modulation, and threshold requirements. This paper outlines the theory, its equation, examples across disciplines, and its implications as a meta-scientific framework.

The Unified Equation:

E = 1 / (1 + e^(-k * (P - C)))

Where:

- P is Persuasion: the force, energy, or incentive applied to induce change

- C is the Susceptibility/Convincibility: how open the target is to being convinced

- k is the Sharpness of response: higher k means a sharper transition

- E: is the likelihood of the action occurring (between 0 and 1)

Respects thresholds:

Event doesn’t happen unless P surpasses C.

Predictive: You can determine how strongly or weakly something is “persuaded” to happen.

Universality:

Works in physics (activation energy), biology (neural firing), sociology (behavior change), and economics (decision-making).Interpretation:

If P << C, then E ≈ 0 (not enough persuasion).

If P = C, then E = 0.5 (critical tipping point).

If P >> C, then E ≈ 1 (event is almost certain to occur).