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PreprintCC BY-NC-ND 4.0Zenodo

Mishka's Law of Instantaneous Requirement: A W-Dimensional Framework for the Axiom of Non-Embedding, Gravitational Pressure, Topological Arithmetic, and Cosmological Regulation.

  1. 1Independent Researcher

Abstract

Standard cosmology posits a singularity at t=0 but does not specify the geometric domain in which that singularity, or the subsequent expansion of 3D space, is embedded. This paper proposes a structural, pre-mathematical resolution via a fourth spatial dimension, denoted w, orthogonal to x, y, z and distinct from time t. Under this framework, the universe does not expand into nothing; it expands through w. Gravitation is reinterpreted as external displacement pressure rather than intrinsic attraction, and division by zero is redefined as a geometric transformation onto the w-axis rather than an undefined operation. A localized collapse trigger—extreme black hole horizon self-intersection—is proposed as the mechanism by which global w-axis reset occurs.

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BibTeX
@misc{muller2026mishkas,
  title = {{Mishka's Law of Instantaneous Requirement: A W-Dimensional Framework for the Axiom of Non-Embedding, Gravitational Pressure, Topological Arithmetic, and Cosmological Regulation.}},
  author = {Hein Muller},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23438640},
  url = {https://zenodo.org/records/23438640},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Mishka's Law of Instantaneous Requirement: A W-Dimensional Framework for the Axiom of Non-Embedding, Gravitational Pressure, Topological Arithmetic, and Cosmological Regulation.
AU  - Hein Muller
PY  - 2026
DA  - 2026/10/17
PB  - Zenodo
DO  - 10.5281/zenodo.23438640
UR  - https://zenodo.org/records/23438640
AB  - Standard cosmology posits a singularity at t=0 but does not specify the geometric domain in which that singularity, or the subsequent expansion of 3D space, is embedded. This paper proposes a structural, pre-mathematical resolution via a fourth spatial dimension, denoted w, orthogonal to x, y, z and distinct from time t. Under this framework, the universe does not expand into nothing; it expands through w. Gravitation is reinterpreted as external displacement pressure rather than intrinsic attraction, and division by zero is redefined as a geometric transformation onto the w-axis rather than an undefined operation. A localized collapse trigger—extreme black hole horizon self-intersection—is proposed as the mechanism by which global w-axis reset occurs.
ER  -