Space and Time 2.0

Chapter 10: The End Is Near

But... that only refers to the first development of the MZI prototype.

What possibilities can the new definition of time, space, energy, and matter open up for us?

Embedding a chaotic universe, in which every element is in interaction and effect with everything in different intensities, into a geometric concept as a computational matrix gives the chaos the order that has been sought for so long. A cosmos calculable down to the smallest detail – at least theoretically.

A system with which processes from the quantum world up to galactic scales and perhaps beyond can be uniformly understood and explained without the collapse of physical laws, without the need for singularities and exotic matter. A bit more of our perceived reality becomes calculable.

Black holes remain what they are: matter, compressed in an unbelievable way and brought beyond a tipping point into a structure consisting of tetrahedrons and octahedrons like the time grid.

Time remains individual and in the perception of time dependent on the observer's location, but it itself is no longer stretched or compressed. It is the measuring tool that makes transformation visible and comprehensible.

Space is not the stage on which everything happens. Space is the consequence of action and interaction. Space is dynamic and has properties similar to a surrounding membrane of variable thickness and extent with osmotic effect on the available potential of interaction.

Energy remains what it was, but it expands to include the frequencies and resonances observable in everything. It does not disappear but decreases and changes with increasing distance. Similar to waves caused by a falling stone when plunging into water.

What can the time grid – and also the interaction grid, which we can physically replicate through frequencies and frequency superpositions in the most diverse wavelengths and which is also found in some crystals – do for development?

Application: Quantum Computers

From the scale of the proton to the qubit: The grid scales seamlessly. For example, the computational matrix can be used for quantum computers.

Initial calculations have shown: The reduction of circuit depth through the MZI grid is not merely a detail advantage for certain algorithms. Rather, it opens a systematic way to keep quantum computers manageable even with growing qubit numbers. In this context, it is not a definition of quantum dynamics or the grid structures used in the MZI model so far, but this benchmark specifically concerns the efficiency and scalability of quantum computers, arising from fundamental considerations within the MZI model.

Through resonance-based couplings in the grid, which enable transformations in parallel blocks, a reduction factor of up to \( \sqrt{n} \) for \( n \) qubits arises. For \( n = 100 \), this would mean a reduction of the layer depth from around 4950 couplings to about 70 effective layers. While current hardware relies on linear or grid-like connections, the MZI grid offers a structured, resonance-based alternative that appears significantly more efficient both from theoretical reasons and practical benchmarks. If this approach is confirmed in experiments – for example, through simulations in IBM Qiskit or real hardware tests with 50+ qubits – the MZI grid could become a key concept in the development of scalable quantum computers. An additional advantage is that the lower layer depth allows more calculations within the coherence time of qubits.

Qubit number	randomized all-to-all	MZI √n reduction	MZI log reduction
10	100	31.6	46.1
50	2,500	70.7	100.4
100	10,000	100	126.2

Fig. 1: Comparison of gate depth between chaotic all-to-all model and MZI reduction approaches.

Dashed curve = All-to-all (chaotic couplings).
Solid curves = MZI model with different reduction factors.
With growing qubit number, the gate depth in the chaotic model rises quadratically, while the MZI model strongly dampens the complexity.

In conclusion, I hope that this model can accelerate and improve development. Especially because the MZI grid opens up so much potential, moral and ethical aspects must be considered with care so that it benefits the common good — developing not merely because it is possible, but so that it serves a higher purpose.

If none of this comes to pass, which I personally now consider unlikely, this little reading of ten chapters may at least have stimulated your imagination and been fun. Or enabled paths for entirely different ideas and concepts that actually have nothing to do with this model. Because ultimately, the MZI also arose from questions and randomly occurring possibilities of transformation in its limited availability of potentials.