Relational Reality under Global Zero Constraint : A Unified Interpretative Framework for Conundrums in Cosmology and Quantum Mechanics
Bibliographic record
Abstract
Building upon the theory of 'Relational Differentiation under Global Zero Constraint ($\sum U_i = 0$)' proposed in the previous research series (Paper I–III), this paper presents a unified interpretative framework for macroscopic (cosmology) and microscopic (quantum mechanics) conundrums in modern physics. Specifically, we reinterpret the Horizon Problem, Flatness Problem, Hubble Tension, and the quantum measurement problem from a graph-geometric perspective. We redefine the universe not as a set of particles on a spacetime background, but as a Spectral Boundary of a stabilized relational graph satisfying a global constraint. From this perspective, the Big Bang is described not as an explosion of spacetime, but as a Geometric Percolation process in the pre-temporal phase, from which the homogeneity and flatness of the early universe are naturally derived. Furthermore, by introducing a coefficient $\alpha$ representing the validity of the time dimension, we elucidate the mechanism by which time becomes undefined at black hole singularities and in the early universe. This study provides a new phenomenological map that identifies the Structural Origin of why physical phenomena take their specific forms and values, explicitly acknowledging that it offers a meta-interpretation rather than calculating specific standard model parameters. Key Highlights Ontological Foundation: Proposes the 'Global Zero Constraint' as a minimal mathematical condition for observability in a closed system. Cosmological Reinterpretation: Inflation: Modeled as a Percolation Phase Transition where the giant connected component forms. Dark Energy: Reinterpreted as Boundary Tension scaling with the expansion of the relational network, offering a solution to the Hubble Tension. Dark Matter: Explained as Spectral Decoupling (Geometric Shadows) due to inactive subgraphs, analogous to Anderson Localization. Quantum Mechanical Reinterpretation: Measurement: Defined as Topological Surgery (Gluing) that alters the graph topology. Born Rule: Derived as the Geometric Consistency Cost (Pythagorean cost) to maintain the global zero constraint. Particle Generations: Linked to the topological invariants (Genus $g=3$) of the microscopic graph structure. Nature of Time: Introduces the effective dimension coefficient $\alpha$. Time is defined as a semigroup trace of information accumulation, which vanishes ($\alpha \to 0$) at singularities, strictly forbidding physical time travel. Notes This paper serves as the final integration (Paper IV) of the research series, synthesizing the mathematical derivations from Papers I, II, and III into a comprehensive physical framework.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.003 | 0.003 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.002 | 0.001 |
| Science and technology studies | 0.002 | 0.017 |
| Scholarly communication | 0.005 | 0.012 |
| Open science | 0.002 | 0.004 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.004 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".