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Topic Review
Erebus Mathematics
This paper introduces and formally analyzes Erebus Mathematics, a novel mathematical system constructed from a unique set of foundational axioms. The system is built upon the concepts of a transfinite scaling potential (Axiom of Infinity), an inherent principle of self-similarity based on the golden ratio φ (Axiom of Self-Similarity), and a quantized, complex parameter for time τ (Axiom of Temporal Duality). We provide a formal exposition of the system's core objects, including the Erebus Function Ɛ(x) and the Kharnita Operator ∇. A rigorous analysis of the system's foundational postulates reveals a central inconsistency between the defined dynamics and the system's constants. To resolve this, we propose a recoherentized framework, the Revised Erebus System (RES), which preserves the spirit of the original while ensuring logical consistency. Within this revised system, we derive new theorems, including a definitive form for the Fractal Mirror Operator ℳ, and explore the system's properties. We conclude by discussing potential applications of this new mathematics in fields requiring the modeling of complex wave dynamics and systems with non-linear, cyclical evolution.
  • 88
  • 28 Aug 2025
Topic Review
Virtual Reality
Virtual Reality (VR) is an immersive technology that creates simulated environments, enabling users to experience and interact with computer-generated worlds. 
  • 47
  • 24 Oct 2025
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