What is gravity?
What does it mean for something to exist?
Modern physics has achieved remarkable success in describing how physical systems behave. Yet it has left one foundational question unresolved:
👉 Under what condition does a physical configuration exist at all?
General Relativity describes the dynamics of spacetime, but does not explain why spacetime itself exists.
Quantum theory describes possible states, but does not determine which states are realized.
This work introduces a complementary principle:
👉 a condition of existence.
■ The Perspective of Executable Gravity
Executable Gravity proposes a shift in how gravity is understood.
Instead of defining gravity as curvature of spacetime, it is reinterpreted as:
👉 the structure of the conditions under which configurations are permitted to exist.
This reframes the central question of physics:
- What happens? → ❌
- What is permitted to exist? → ✔
In this view, physical reality is not fundamentally a process of continuous evolution, but:
👉 a selection among structurally viable configurations.
■ Relation to Existing Theories
Within this perspective, established theories remain valid but are repositioned:
- General Relativity describes smooth behavior within stable regimes
- Quantum theory captures fluctuations prior to realization
- Holography and entanglement reflect projections of underlying structure
However:
👉 they do not specify the condition of existence itself.
Executable Gravity addresses this missing layer.
■ From Principle to Physical Realization
Until recently, this framework was primarily conceptual.
The present work extends it by demonstrating that:
👉 the same structural principle appears across multiple physical systems and scales.
🔵 1. Macroscopic Scale (Fluid System): Emergence of Geometry
In a fluid system combining standing waves and central circulation,
extended nodal-line structures appear across the entire domain.
These structures exhibit:
- global coherence beyond local interference
- discrete transitions under continuous parameter change
- robustness against perturbations
This indicates that:
👉 geometry is not a predefined background, but an induced structure emerging from global constraints.
🔵 2. Nanoscale (Mn₃Sn Devices): Executable Switching
In non-collinear antiferromagnetic devices based on Mn₃Sn,
small variations in spin configuration produce extremely large electrical responses.
Key observations include:
- tunneling magnetoresistance on the order of 1000%
- discrete switching thresholds
- hysteresis and non-volatility
These features suggest that:
👉 the system does not evolve continuously, but switches between distinct viable configurations.
🔵 3. Astrochemical Scale (Ryugu Samples): Structural Assembly
High-resolution AFM observations of organic molecules from asteroid Ryugu reveal:
- unexpectedly large molecular structures
- non-planar geometries
- coexistence of multiple ring types
These findings indicate that molecular formation is not simply incremental growth, but:
👉 selection among configurations that remain viable under complex environmental constraints.
■ A Unified Structural Picture
Across these systems—fluid, magnetic, and astrochemical—common features emerge:
- discrete regimes of stable configurations
- threshold-driven transitions between regimes
- persistence once a configuration is selected
This suggests that:
👉 physical behavior is governed not only by local interactions,
but by the selection of structurally consistent configurations.
■ Consistency with Observations Across Domains
The framework is further supported by consistency with observations across four domains:
- S1 — Representation: holography and dualities as structural projections
- S2 — Astrophysics: galaxy-scale observations (e.g., M82) showing structured outflows
- S3 — Quantum systems: spin liquids exhibiting anisotropic structure
- S4 — Space weather: multi-point observations of solar energetic particles
Together, these indicate that:
👉 what is observed reflects structure,
but what exists is determined by admissibility.
■ Scientific Significance
Executable Gravity does not replace existing theories.
Rather, it introduces a foundational layer that they implicitly assume but do not define:
👉 the condition under which physical configurations are realized.
■ Technological Implications
A shift from “control of dynamics” to “design of admissibility” opens new directions:
- quantum devices based on state selection
- AI and distributed systems based on executable states
- space weather prediction through structural constraints
- materials design via stability of configurations
■ Final Message
Reality is not merely described.
👉 It is permitted.
And gravity is not simply the curvature of spacetime, but:
👉 the structure of the conditions that make existence possible.
🔵 Unified Abstract of Twin Papers — Structural Selection and Constraint‑Driven Realization Across Scales
This work develops a unified structural perspective on how physical configurations emerge, persist, and transition across distinct systems and scales. We examine three experimentally independent contexts—a macroscopic fluid system exhibiting standing-wave interference, nanoscale non-collinear antiferromagnetic heterostructures based on Mn₃Sn, and high-resolution AFM observations of complex organic molecules from the asteroid Ryugu—and show that each displays behavior most naturally organized in terms of constraint-driven structural selection.
In the macroscopic fluid system, counter-propagating standing waves generate extended nodal-line structures that persist across the entire domain and undergo discrete transitions as a function of a circulation parameter. These configurations exhibit system-spanning coherence, regime-dependent topology, and robustness under perturbations, indicating that the observed geometry is an induced structure arising from global constraint organization rather than from local interference alone.
In the nanoscale magnetic system, Mn₃Sn-based devices display large nonlinear electrical responses, including tunneling magnetoresistance (TMR) on the order of 10³%, discrete switching thresholds, hysteresis, and stable post-transition states. These features are not adequately captured by purely continuous transport models. Instead, the switching behavior is consistent with transitions between distinct subsets of structurally viable spin configurations defined by a multi-source constraint environment involving exchange interactions, spin–orbit coupling, lattice symmetry, and interfacial effects.
High-resolution AFM imaging of Ryugu organics provides an independent context in which structurally similar features appear. The emergence of large, non-planar polycyclic molecules containing 5-, 6-, 7-, and 8-membered rings suggests that molecular structures in prebiotic environments were shaped by competing constraints rather than by a single dominant symmetry. The resulting geometries reflect configurations that remained viable under astrophysical conditions, offering a third example of regime-based structural organization.
Across these systems, the key observable features—discrete regimes, threshold-driven transitions, and persistence within selected states—indicate that physical behavior is governed not only by local interactions or continuous parameter variation, but by the selection of configurations that remain structurally consistent under the prevailing constraints. Moderate responses correspond to deformation within a configuration subset, whereas large nonlinear responses reflect reorganization between distinct subsets.
This structural perspective provides a unified interpretation in which geometry, functionality, and molecular architecture emerge from the organization of viable configurations rather than from a predefined background or purely continuous evolution. The macroscopic system demonstrates the formation of induced geometric structure under global constraints; the nanoscale system demonstrates controllable transitions between such structures through constraint-dependent gating; and the astrochemical system illustrates how complex molecular configurations can arise under multi-constraint environments.
Taken together, these results establish a consistent cross-scale picture in which constraint-driven structural selection governs both the emergence and control of physical configurations. While the underlying mechanisms differ across systems, the shared organizational features indicate that regime-based selection provides a unifying framework for understanding nonlinear responses, induced geometry, and structural organization across diverse physical contexts.
