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26 November 2023

**Abstract**:

The Point of Oblivion Theorem introduces a relationship within null spaces, positing that any point of oblivion contains an infinite number of points of oblivion. This exploration delves into the theorem’s implications for mathematics, cosmology, and quantum mechanics. Oblivion, in this context, is a state of indistinguishability or non-existence in a system, particularly within null spaces where a point maps to the zero vector under a linear transformation, representing a state of mathematical nothingness.

**Introduction**:

The theorem has significant implications for both mathematics and physics, suggesting that the universe might have evolved from a state of pure oblivion. It provides a new perspective on the evolution of the universe and quantum states, proposing that points of oblivion are mathematical representations of null spaces.

**Theorem Statement**:

The theorem states that any point of oblivion (PO) is an infinite set of points of oblivion within a null space. It formalizes this with the notation PO ⊆ {PO} ⊆ {POi | i ∈ N}, where each POi is a point of oblivion within the null space.

**Zero Spheres and Riemann Sphere**:

The paper connects the concept of zero spheres (0-spheres) to the theorem, identifying them as representations of points of oblivion. The simplicity of the 0-sphere, which consists of two discrete points, is used to illustrate the intricate structures within null spaces.

**Implications for Cosmology and Quantum Mechanics**:

In cosmology, the theorem implies that the universe may have emerged from a state of oblivion, a null space with no meaningful information but containing infinite potential universes. In quantum mechanics, it suggests that a state of oblivion might be fundamental to quantum behavior, particularly in understanding superposition and the probabilistic nature of quantum mechanics.

**Conclusion**:

The Point of Oblivion Theorem challenges traditional views of null spaces, presenting them as structured and intricate domains. It opens up new possibilities for understanding the origin and evolution of the universe and the behavior of quantum particles. The theorem serves as a guide for exploring these uncharted territories, urging mathematicians and physicists to rethink their conceptual frameworks.

The Point of Oblivion Theorem introduces a novel relationship within null spaces, asserting that any point of oblivion contains an infinite number of points of oblivion. This paper aims to provide a rigorous exploration of the theorem, delving into advanced mathematical concepts and their potential impact on cosmology and quantum mechanics. The precision and significance of the theorem within the mathematical and physical domains are emphasized, fostering a deeper understanding among mathematicians and physicists. Oblivion is defined as a state of complete indistinguishability or ”nonexistence” in a mathematical or physical system. In the context of null spaces, oblivion represents a point within the null space that maps to the zero vector under a linear transformation. This point has absorbed all possible inputs and converged to a state of nothingness. The exploration of this profound relationship involves a detailed examination of linear transformations within null spaces, shedding light on the intricate structures concealed within mathematical emptiness.

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Bednyakov A. V., Kniehl B. A., Pikelner A. F., Veretin O. L.. Stability of the Electroweak Vacuum: Gauge Independence and Advanced Precision.

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