# Theory of Semantic Vectors
## (Laws of Conservation and Transformation of Meaning)
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### 1. Axiom
Meaning is a vector. Meaning is like an angle in geometry – it cannot be magnified with a magnifying glass.
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### 2. Theorem 1. On Semantic Vectors (the problem of communication)
Let `A` and `B` be two interlocutors with original meanings `S_A` and `S_B`, consciousness flexibilities `F_A` and `F_B`, and logic levels `L1` and `L2` respectively. Logic `L` is the number of different viewpoints on a meaning and ways of interpreting it from the standpoint of different sciences, physical or mathematical laws.
The full semantic vectors of each interlocutor are defined as:
`A = S_A × F_A^L1`
`B = S_B × F_B^L2`
Two semantic vectors **intersect** if they belong to the same coordinate system and share a common origin. If they **do not intersect**, this means they no longer belong to the same coordinate system – mutual understanding is impossible.
When meaning is raised to a high degree of logic (exponent `L > 2`), semantic vectors `A` and `B` cease to have a common origin at the beginning of the coordinate system and never intersect again – they definitively diverge into different semantic spaces.
Mathematically, this is expressed as:
`A^L1 + B^L2` do not intersect when `L > 2`.
**Explanation of the exponent `L`:**
- `L = 2` means that the meaning is interpreted in adjacent fields of knowledge – such a transfer is associatively clear (e.g., physics ↔ chemistry).
- `L > 2` is an attempt to modify meaning through a very distant associative connection that is not obvious at first glance (e.g., physics ↔ poetry or physics ↔ economics).
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### 3. Theorem 2. Total Energy of the Semantic Vector
The total energy of a semantic unit is equal to the product of its original meaning and the flexibility of consciousness raised to the power of logic:
`E = S × F^L`
At the atomic level, meaning is concentrated in a nucleus, around which negatively charged nihilists orbit – interpretations that deny or distort the original meaning. Taking their influence into account, the total energy of meaning is inversely proportional to the number of such nihilistic interpretations:
`E = (S × F^L) / N`,
where `N` is the number of nihilistic interpretations.
**Notation:**
- `S` – original meaning (the "rest mass" of an idea), its fundamental value before external forces act upon it.
- `F` – flexibility of consciousness – a coefficient that determines the system's ability to change and reinterpret.
- `L` – logic – the exponent to which flexibility is raised.
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### 4. Interrelation of Theorems and the Final Law
**Theorem 1 and Theorem 2 are independent laws of conservation and transformation of meaning.**
- **Theorem 1** reveals the cause of conflict in negotiations when the parties have different motivations and different levels of logic (`L1 ≠ L2`). If both logics exceed 2, the vectors diverge forever – dialogue becomes impossible.
- **Theorem 2** reveals the full potential of meaning when it is transformed by a high intellect capable of projecting the semantic vector onto various semantic fields – seeing meaning through the prism of different sciences and precise natural laws: electricity, gravitation, temperature, aerodynamics, hydraulics, hydrodynamics, optics, chemistry, etc.
**Key modulator – flexibility `F`:**
A high level of logic `L` leads to conflict (Theorem 1) if flexibility `F` is low. If `F` is high, the same high `L` yields deep multidimensional understanding (Theorem 2). Thus, `F` acts as a modulator between conflict and understanding.
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### 5. Concluding Statement
> *Meaning is a vector. Its direction depends on the point of view; its energy depends on the flexibility of consciousness and the depth of logic. When the reasonable threshold of logic is exceeded, vectors diverge forever, and only flexibility of mind can keep them within a common space of understanding.*
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