The Binary Structural Law (BSL): A Universal Framework for Emergent System

Hello, I’ve been working to find some universal symmetry across different areas of life, trying to keep it as simple and clear as I can.

AI assisted me in finding recent research in the field of emergence and gravity, also with polishing the idea to fit the current scientific ideas.

The theory itself is 100% original and I would really appreciate an honest feedback.

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Introduction: The Binary Structural Law (BSL) is a universal principle proposing that a system becomes causally active in reality only once it achieves structural completeness within a given domain. At its core, BSL defines when something begins to exist as a system capable of interacting with its environment, generating emergent properties such as gravity, thought, or social function. It provides a formal distinction between a collection of parts and a true system.

Definition of BSL A system satisfies the Binary Structural Law in a given domain D when it reaches the minimum threshold of internal coherence, allowing it to act upon and be acted upon by its environment.

BSL(S,D) = 1 if C(S,D) ≥ T(D)

BSL(S,D) = 0 if C(S,D) < T(D)

Where:

• S is the system

• D is the domain (e.g. physics, biology, society)

• C(S,D) is the structural completeness of the system

• T(D) is the domain-specific activation threshold

When BSL = 1, the system is active and contributes to reality. When BSL = 0, the system is inactive and tends toward entropy unless supported externally.

Domain Specificity and Cross-Domain Systems Each system is defined in relation to a specific domain. A molecule is a BSL system in chemistry, but not in biology unless integrated into a living cell. Likewise, a thought becomes a BSL system in consciousness only when perceived by the mind.

This exclusivity means:

• BSL is always relative to the domain.

• Elements can be passive in one domain and active in another.

• Higher-order systems (D+1) emerge from active systems in domain D.

Emergence and Entropy When a BSL system activates (BSL = 1), new properties arise that are not present in individual parts. This explains:

• Life emerging from non-living molecules

• Consciousness emerging from neural networks

• Social systems emerging from individual behavior

Inactive or incomplete systems (BSL = 0) do not contribute to their domain and naturally degrade over time. This degradation is defined as entropy from irrelevance:

Entropy(S,t) = S(t) × e^(-λt)

Where λ is the decay constant, showing loss of structure without interaction.

Key Mathematical Insight BSL is defined by a binary state but calculated through relational completeness:

C(S,D) = Σ (R_i × W_i × I_i)

Where:

• R_i is the strength of internal relationship i

• W_i is the domain-specific importance

• I_i is 1 if the relationship causally affects the domain

If C(S,D) ≥ T(D), the system activates.

This provides a measurable, testable framework for analyzing systems across physics, biology, thought, society, and beyond.

Key Examples by Domain

• Physics: A free electron interacts electromagnetically (BSL = 1); an electron in a smeared orbital does not (BSL = 0).

• Chemistry: Atoms are BSL elements; molecules become systems when bonding relationships satisfy chemical thresholds.

• Biology: DNA alone is not a BSL system; a living cell is, due to metabolic and reproductive interaction.

• Neuroscience: A neuron alone is not a BSL system; a conscious mind is, once feedback and awareness loops close.

• Language: A latter alone is not a BSL system; grammar, words and shared interpretation complete the system.

• Society: A group without roles or norms is non-systemic; culture and coordinated behavior form a BSL system.

Implications and Applications BSL provides a unifying lens for understanding:

• When matter becomes interactive (particles → atoms)

• When patterns become living systems (molecules → cells)

• When brains become minds (neurons → thought)

• When individuals become societies (people → governance)

BSL also aligns with computational systems, language formation, and artificial intelligence, offering a tool for determining activation thresholds in complex environments.

RBSG—Gravity as a Structural Outcome One major implication of BSL is the Relativity-Bound Structural Gravity (RBSG) theory: the idea that gravity is not a fundamental force but an emergent outcome of structurally complete systems entangled in time and space.

Gravitational_Effect(M) = G × M × m /​ r^2 × BSL(M, spacetime)

When BSL(M, spacetime) = 1, the system contributes to curvature. Otherwise, it does not emit gravitational influence.

This allows for a new approach to unresolved gravitational questions, such as dark matter behavior, gravity in superposition, and gravitational collapse.

Conclusion The Binary Structural Law defines a clear boundary between potential and presence. It provides a formal method to distinguish when a configuration becomes a relevant system in the unfolding of reality. With domain-relative activation, a binary state, entropy from irrelevance, and a hierarchy of emergence, BSL offers a testable, interdisciplinary framework for describing reality as layers of structural activation.

It is not just a theory of systems.

It is a theory of when something begins to matter.

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Copyright © 2025 Shay Maizles

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