Section 2: Foundational Postulates
By Brian Miller
The SEI theory is constructed on a set of foundational postulates that define the architecture of interaction and emergence across all domains of reality. These postulates serve as axioms for the theory and provide the logical and structural basis for all subsequent equations and applications.
All emergent phenomena arise from a three-part interaction consisting of:
The transformation or evolution of systems — called consequence \( C \) — emerges from the asymmetry between \( A \) and \( B \) via \( X \):
$$C = f(A, B, X)$$
This dynamic is non-linear and generative, producing structured outcomes not explicitly present in the inputs.
Time is not an independent backdrop but a relational flow defined by the differential transformation of \( X \) across the polar structure:
$$T_{SEI} = \frac{\delta X}{\delta(A - B)}$$
Curvature and form — including spacetime geometry — are secondary expressions of structured interaction, not primary containers of existence. Geometry arises from triadic tension within the SEI field.
Coherence between entities (as in quantum entanglement) emerges when separate polarities share a common interaction field \( X \). This linkage is not due to distance or signaling, but due to shared structure:
$$\psi_{AB} = \psi_A \otimes \psi_B + \phi(X)$$
From quantum fields to biological life, all systems express the SEI structure. This postulate asserts the universality of SEI as the framework beneath all emergent phenomena.
These six postulates ground the SEI theory in a formal and coherent logic, from which its mathematical structure and physical consequences are derived.