Publication Series: The Articulation of Postulate P1


Introduction

This series of six papers articulates a fundamental shift in physical ontology: the transition from a defined, measurable universe to a system that is inherently undefined due to its status as unmeasurably large and closed (Postulate P1). This work provides a unified framework where quantum non-locality and cosmological expansion signatures emerge from a single principle: the dissolution of manifested coherence into a pre-representational ground Q(P).


Preface: The Architecture of Undefinedness

The Preface serves as the conceptual portal to the series, outlining the philosophical and methodological necessity of the transition from classical definitions to a domain-bound framework. It introduces the overarching vision of the six-paper sequence and explains how the shift toward a pre-representational ground $Q(P)$ resolves long-standing paradoxes in both cosmology and quantum mechanics.

Paper 1: Cosmological Lambda-like Signatures from Dissolution Dynamics

This foundational paper introduces Postulate P1: the assertion that a system that is unmeasurably large and closed is, by definition, also unmeasurably large and open. This paradox leads to a fundamental state of undefinedness. The work demonstrates that the cosmological constant ($\Lambda$) is not a dark energy force, but the macroscopic signature of manifested coherence dissolving back into the pre-manifest domain $Q(P)$.

Paper 2: The Quantum-Local Aspect – The Manifest–Undefined Structure

This paper develops the dynamical layer of Postulate P1, defining physical structure as a temporary layer of "manifested" coherence emerging from the undefined background $Q(P)$. It introduces the order parameter $c(t)$ to measure coherence density and utilizes a generalized Euler–Lagrange framework to model the transition between local definition and cosmic dissolution. By treating space, time, and geometry as emergent properties, it provides a unified mechanism for quantum non-locality.

Paper 3: The Representational–Nonrepresentational Boundary

This paper articulates the local mechanism of Postulate P1, defining the boundary where unmeasurable undefinedness transitions into representational physical reality. It characterizes manifested structure as a "representative" layer sustained by stable coherence, which remains in a constant state of dissolution toward the non-representational background $Q(P)$. The work demonstrates that local closure and cosmic openness are the necessary conditions for physical observables.

Paper 4: Towards a Quantum Ground – Conceptual Foundations

This paper establishes the methodological foundations for quantifying Postulate P1 by analyzing the transition from continuous classical dynamics to discrete quantum states. It introduces "Informational Discontinuity," where physical representation emerges from a deeper ground. By redefining measurability as a product of stable coherence, it prepares the integration of global regulation and local organization within a single framework.

Paper 5: From Preconditions to Minimal Structure

This paper defines the minimal structural requirements for a system to transition from the undefined background $Q(P)$ into a manifested state. It identifies specific "preconditions of representation" that must be met to sustain stable coherence against the inherent pressure of cosmic dissolution. It bridges the gap between abstract non-locality and the organized informational patterns that constitute the observable world.

Paper 6: The Quantum Ground – Final Formulation

This concluding paper provides the formal quantum synthesis of the series, deriving the quantum-mechanical state $\Psi_{P}$ from the fundamental undefinedness of Postulate P1. It integrates global dissolution dynamics with local representational structures, demonstrating that the "Quantum Ground" is the state of minimal definition where local closure and cosmic openness reach a stable equilibrium.