What question did this study set out to answer?

The research aims to develop a conceptual framework for understanding physical reality through correlated variation, avoiding the introduction of new particles or empirical claims.

June 4, 2026Open Access

The Jacobs Theory

Puntos clave

The research aims to develop a conceptual framework for understanding physical reality through correlated variation, avoiding the introduction of new particles or empirical claims.
Proposes a mathematical foundation using continuous variation and correlation fields.
Defines stability in systems as internal correlation exceeding external disturbance.
Explores how emergent behavior arises from total correlation and variation gradients.
Establishes that discrete structures emerge from points of maximum correlation.
Finds that stability is mathematically formulated as Internal_Correlation / External_Disturbance > 1.
Demonstrates that classical, relativistic, and emergent behaviors can be derived from this unified framework.

Resumen

Foundational Axiom of the Jacobs Theory “Nothing can’t exist; therefore something exists. Something is minimally a carrier — and a carrier is always dynamic. ” The Jacobs Theory — DOI: https: //doi. org/10. 5281/zenodo. 20507085 The Jacobs Theory is a foundational conceptual framework that approaches physical reality through variation and correlation rather than through isolated objects or forces. It does not introduce new particles, constants, or empirical claims, nor does it attempt to replace established physical laws. Instead, it seeks to identify a coherent underlying structure capable of supporting classical, relativistic, and emergent physical behavior without relying on ad hoc assumptions. At its core, the framework proposes that physical entities—such as atoms, mass, and structure—can be understood as stable, correlated spectra of variation, much like a rainbow represents a structured spectrum of light. In this view, discreteness emerges from continuity, and form arises from constrained variation rather than from fundamental building blocks. The mathematical foundation is expressed in simple structural terms. Variation is treated as a continuous field: V (x, t) = continuous variation field. Correlation describes how different parts of that variation relate: C = average of (V (x, t) × V (x+dx, t+dt) ). Stability arises when multiple correlations reinforce one another across scales: Cₜotal = C₁ × C₂ × … × Cₙ. A system becomes stable when internal correlation exceeds external disturbance: Stability = InternalCorrelation / ExternalDisturbance > 1. Discrete structures correspond to points where correlation reaches a maximum. Emergent behavior results from the combined effect of total correlation, variation gradients, and scale‑dependent organization. A complementary conceptual publication (DOI: https: //doi. org/10. 5281/zenodo. 20042028) expands on the interpretative and structural implications of the framework, offering additional context for readers exploring the broader conceptual landscape of the Jacobs Theory. This work is intended as an exploratory and foundational contribution for readers interested in conceptual physics, emergence, and alternative structural interpretations of physical law.

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