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Publication Series: The Articulation of Postulate P1

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).

Paper 1: Preface: Foundations of Representation:

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.

DOI: 10.5281/zenodo.18177560

Paper 2: Dissolution Dynamics and Λ-like Cosmological Signatures 1/6

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 $Q(P)$.

DOI: 10.5281/zenodo.18178010

Paper 3: The Quantum-Local Aspect – The Manifest–Undefined Structure 2/6

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.

DOI: 10.5281/zenodo.18178187

Paper 4: The Representational–Nonrepresentational Boundary 3/6

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.

DOI: 10.5281/zenodo.18178295

Paper 5: Towards a Quantum Ground – Conceptual Foundations 4/6

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.

DOI: 10.5281/zenodo.18178494

Paper 6: From Preconditions to Minimal Structure 5/6

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.

DOI: 10.5281/zenodo.18178622

Paper 7: The Quantum Ground – Final Formulation 6/6

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.

DOI: 10.5281/zenodo.18178835

Paper 8: The Formalism of Domain‑Bound Dissolution 1/3

This paper inaugurates the physical trilogy that extends the six‑part ontological sequence. It reformulates the variational principle under Postulate P1, showing that the classical condition δS=0 cannot hold in a domain that is simultaneously unmeasurably open and unmeasurably closed. The Euler-Lagrange equation becomes a boundary formalism with a structural remainder x, expressing the inherent incompleteness of representation. The path‑integral is retained but reinterpreted: its integration domain is not ontological under P1. The paper introduces the minimal coherence threshold Cmin⁡ and the remainder x, clarifying how residual constants such as Λ arise as representational traces of dissolution rather than physical vacuum energies.

DOI 10.5281/zenodo.18500340.

Paper 9: Dynamical Consequences and Quantum Manifestation 2/3

This paper continues the physical trilogy by analysing how representational domains evolve when coherence varies. Building on the boundary formalism of Part 1, it shows that classical behaviour arises only in regimes of high coherence, while reduced coherence permits multiple coexisting configurations. Phenomena traditionally described as tunneling, superposition, and entanglement are reinterpreted as structural consequences of openness-driven reconfiguration rather than ontological processes. The remainder term χ remains present throughout, becoming small in classical regimes but never vanishing. The paper clarifies how stability, multiplicity, and coherence-linking emerge from the same underlying representational structure, preparing the ground for Part 3, where classical physics appears as the maximal-coherence limit of P1.

DOI 10.5281/zenodo.18566784.

Paper 10: The Emergence of Classical Law 3/3

This final part of the physical trilogy shows how classical physics arises as the maximal‑coherence limit of Postulate P1. When representational domains approach closure, coherence becomes rigid enough to produce the structures recognised as spacetime geometry, causal order, conservation laws, and the symmetries of the Standard Model. These are not fundamental layers of reality but stability regimes that emerge when the remainder term χ becomes small while never vanishing. The paper demonstrates how general relativity and the Standard Model appear as high‑coherence limit‑projections of the same representational architecture that, in lower‑coherence regimes, yields quantum multiplicity and reconfiguration. The cosmological constant Λ is identified as the persistent signature of structural incompleteness, linking microscopic openness to large‑scale geometry. With this, the physical interpretation of P1 reaches closure: classical law is an emergent projection of a universe that remains fundamentally open.

DOI 10.5281/zenodo.18615540

Paper 11: Entropy as the Measure of Representational Direction

This paper establishes the entropic backbone of Postulate P1. It shows that the coherence density c(t) decreases monotonically under representational dissipation, and that this monotonicity is the physical origin of time: time emerges as the ordering of entropic loss. The work identifies the pre‑representational ground Q(P) as the boundary where entropy ceases to have meaning, and demonstrates how Level‑1 dissolution drives the hierarchical structure of manifestation. This paper provides the conceptual architecture that Paper 12 operationalises.

DOI 10.5281/zenodo.19358893.

Paper 12: Operationalisation of Stabilisation State Mappings and Non Unitary Dynamics

This paper translates the conceptual architecture of P1 into explicit operational form. It defines measurable stabilisation criteria for the coherence density c, constructs a parametric state mapping c↦p(c), and derives a c-dependent dissipative generator Ldiss(c) that captures representational dissolution while recovering effective unitarity in stabilised regimes. The work shows how Level‑1 representational dynamics give rise to Level‑2 physical behaviour, and identifies experimental signatures, decoherence rates, bandwidth collapse, and vacuum sensitivity, that make the framework empirically testable.

DOI 10.5281/zenodo.19361311

Paper 13: Regime Dynamics of Coherence and the Level‑1 Foundations of Quantum Phenomena

This paper develops the regime structure of the coherence density c(t) as the organising principle of Level‑1 representational physics. It shows that coherence is not a fixed quantity but evolves through three dynamical regimes—high, intermediate and low coherence—each characterised by distinct stabilisation behaviour. Within this structure, decoherence becomes a monotonic drift in c(t), tunneling is reinterpreted as temporary bandwidth exit, entanglement arises from shared Level‑1 modes, and horizon‑like phenomena emerge as coherence boundaries rather than geometric surfaces. The work unifies these traditionally separate quantum and relativistic effects under a single representational dynamic and forms the conceptual bridge between the stabilisation formalism of Paper 12 and the empirical and operational developments of Papers 14 and 15.

DOI 10.5281/zenodo.19414773.

Paper 14: Coherence Dynamics and Observable Deviations

This paper provides the quantitative realisation of the coherence‑regime framework introduced in Paper 13. Starting from the dissipative generator Ldiss(c) formulated in Paper 12, it derives the explicit drift equation for the representational bandwidth c(t) and obtains closed‑form solutions for its time evolution. These expressions yield deterministic decoherence timescales, coherence‑dependent tunneling corrections, and finite‑time coherence boundaries that act as horizon‑like representational limits. The work identifies experimentally accessible deviations from standard quantum mechanics in regimes where c(t) varies appreciably, thereby establishing the first operational bridge between Level‑1 representational dynamics and Level‑2 empirical physics. Paper 14 completes the transition from conceptual reinterpretation (Paper 13) to quantitative prediction and prepares the ground for the experimental proposal developed in Paper 15.

DOI 10.5281/zenodo.19415269.

Paper 15: Experimental Signatures of Coherence Dynamics

This paper develops the first experimental test of the representational framework introduced in Papers 1–14. Building on the coherence dynamics derived in Paper 14, it identifies a measurable deviation from standard quantum mechanics arising from the coherence‑dependent dissipation rate γ(c)=γ0e−βc. The exponential form is shown to be the minimal monotone function compatible with the regime structure established in Paper 13, ensuring that the predicted tunneling suppression is structurally robust rather than model‑dependent. Using a superconducting flux‑qubit architecture, the paper derives the observable signatures, specifies the relevant parameter regimes, and demonstrates that the deviation remains detectable under controlled environmental noise. With this work, the representational programme completes its transition from conceptual reinterpretation to empirical testability, providing a concrete experimental pathway for probing the coherence dynamics at the core of Postulate P1.

DOI 10.5281/zenodo.19415517

The Thought Experiment

Scientist: I have constructed a model, but I need a specific parameter to close it. Could you calculate my thoughts for me?

Mathematician: Of course. I have performed the measurements, and here is your parameter.

Scientist: Thank you, this is invaluable. But tell me… what have you actually calculated? My thoughts, or the effect of all protons, electrons, baryons, and quarks?

Both men fall quiet, Both men fall quiet. A shared silence follows.

This silence is the starting point. It is the realization that our most precise models often calculate the shadow of our own assumptions rather than the source itself. My work begins not by filling this silence with more parameters, but by recognizing it as the fundamental ground of reality: Q(P).

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