The Complex Fabric of Reality

This ongoing work takes a speculative journey into how Energy, Mass, Time, and Space might be interconnected through the complex plane, offering a framework for understanding reality.

Figure 1: $m_z$ is what we perceive at time $\theta_0$ and space $r_0$.

Working Conjecture

Space and time are each single-dimensional continua with (effectively) unbounded resolution. In this model, the modulus $r$ encodes “space” and the argument $\theta$ encodes “time”; observed discreteness arises from projection/measurement, not underlying granularity. Chapters 2–4 explore how $r$ and $\theta$ map to observables and how quadrant-dependent behavior may manifest as force channels. Figure 1 suggests that reality is the collapse of infinite $z_n$ or space/time combinations.

• Preface
• Chapter 1: The Complex Plane
• Chapter 2: Polar Representation and its Implications
• Chapter 3: Hermitian Operators on a Hilbert Space
• Chapter 4: The Quadrants and their Implications
• Chapter 5: Standard Model
• Chapter 6: Mapping Reality
• Chapter 7: Mathematical Interactions and Reality
• Conclusion