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 distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.001 | 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 teacher head, 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".