Rethinking the Vacuum: A Quaternion Space-Time Revolution

The Core Proposition

By utilizing quaternion space-time—a mathematical system involving one real dimension and three imaginary ones—Tsuge proposes that the very fabric of our reality only "switches on" when the electromagnetic field appears.

This is more than a tweak to physics; it is a total reimagining of the cosmic ledger.

The Elegant "Why"

For the average person, this matters because it provides a single, elegant "why" for the universe's most lopsided ingredients.

According to the study’s field counting, the universe is composed of:

• 4% Baryons
• 24% Dark Matter
• 72% Dark Energy

This isn't an observation—it is a direct mathematical result of how matter is generated.

Explaining Particle Geography

In this model:

• Leptons like electrons inhabit the 1D real part of space-time.
• Quarks are restricted to the 3D imaginary part.

This "geographic" separation explains quark confinement instantly: quarks cannot be pulled into our real-world dimension.

Redefining Dark Energy

Even more startling, Tsuge defines dark energy not as a mysterious fluid, but as the "Weyl spinor phase" of massless particles. As these fields interact, they create a negative pressure that drives the universe's expansion.

Mass as Potential Energy

The research also redefines mass. Rather than an intrinsic weight, mass is viewed as potential energy triggered by a "singular symmetry-breaking event."

This leads to a unique fourth-power mass spectrum ($m_{pot} = \frac{1}{4}\lambda |\Phi_0|^4$), providing a mathematical bridge between the tiny 0.51 MeV mass of an electron and the hulking 172 GeV of a top quark.

Gravitational Repulsion

The most controversial prediction, however, involves the "wrong-sign" mass term for dark matter. This suggests a gravitational repulsive force between ordinary matter and dark matter.

If true, this inversion would upend our understanding of how galaxies and large-scale structures are held together.

The Unfinished Framework

Despite the mathematical symmetry, the theory remains in its infancy. Tsuge acknowledges two critical gaps:

1. The law of motion for spinors within this quaternion space-time is not yet fully defined.
2. The "repulsive" nature of dark matter lacks an experimental detection method.