Hello friends,

Let me tell you a little story.

Imagine you are driving a car, but this car doesn’t have a speedometer—it can’t tell you how fast you’re going. But it does have a display that shows how far you’ve gone since the last time you filled up the gas tank. Before you started your trip, you pressed a button that reset the distance to zero.

As you drive, the numbers on the display go up. If you see that you’ve gone from 10 kilometers to 20 kilometers, that means you’ve traveled more distance. You didn’t see how fast you were going, but you know the car is moving forward and using fuel to do it.

Now think of the gas tank like a special energy source. When the car burns gasoline, it turns that energy into movement. But as the car goes on, the fuel in the tank slowly runs out. Eventually, the tank will be empty, and the car can’t move anymore—unless it gets more fuel.

This is a bit like what scientists think happens in our Universe. At the very beginning, there was something called the Primary Zero Point Field—imagine it like a magical fuel tank filled with a special kind of energy. As time went on, this energy started to transform into things we can see, like stars, planets, and people (we call that visible matter), and also into something we can’t see but know is there, called dark matter—like the vacuum or empty space.

This whole transformation, from invisible energy into matter and space, is what I call a phase transition, just like when water turns into ice or steam. The energy didn’t disappear—it changed form, just like the fuel in the tank turns into distance as the car drives.

In my article (which is a bit more technical), I talk about this idea using math and shapes, and I explain how this change might have happened in the Universe, in a different way than many textbooks describe.

The same story in more technical details.

Imagine driving a car without a speedometer. However, the car is equipped with an odometer (distance counter), and you have reset the display to zero after your last refueling. As you drive, the display shows the distance traveled since that last tanking.

At some point, you observe that the current reading, denoted as r_{i+1}, is greater than the previous reading r_i. From this, we can determine that the car’s relative movement has increased by \frac{r_{i+1} - r_i}{r_i} \times 100\%per kilometer—a way to measure driving dynamics without using a temporal (speed-based) indicator.

My attached article explores a similar arithmetic, but in a cosmological context—contrary to the FLRW topology presented in Landau & Lifshitz. It proposes a new interpretation based on stereographic projections. In this framework, the distance parameter r represents the scale of the Universe and its genesis, which is described as a phase transition from a Primary Zero Point Field into two distinct components: visual matter and vacuum—the latter being identifiable with what is commonly referred to as dark matter.

This transition is governed by an absorption parameter \kappa, a concept borrowed from Danilatos (2020), and provides a speculative but insightful model for the emergence of the observable Universe.

Best JM