Space in its basic mathematical form: Blueprint of the observable universe and beyond

Logarithmic representation of the universe centred on the Solar System, with some notable astronomical objects. Distance from the Solar System centre increases exponentially from centre to edge. Celestial bodies have been enlarged to appreciate their shapes. Pablo Carlos Budassi

#opinion

For over a century, we have been taught to view the universe through the lens of “space” —a vacuum, a medium, a background, or a geometric fabric where stars, planets, and celestial bodies interact. To the naked eye, this space appears as an empty void, a vast nothingness.

However, after a 30-year scientific voyage that began on the terraces of India in 1994 and reached its mathematical conclusion in the intellectual quiet of Cambodia, I have arrived at a foundational truth: Space is not “nothing”, It is the most fundamental “something” there is.

In this research, I introduce a fundamental framework that moves beyond the geometric limitations of Einstein’s general relativity and the Standard Model of particle physics. It provides the hidden blueprint for how our cosmos and beyond is constructed.

The basic mathematical form: Blueprint of space

The space is governed and represented by a singular, foundational equation:

P(S) + I(S) + V(S) + C(S) + M(S) = GP P(T) + GI I(T) + GV V(T) + GC C(T) + GM M(T)

Here, the left side of the equation defines the progressive physical geometric structures of space. And, the right side of the equation defines the physical energy and mass of space.

Both sides are modulated by plane-specific transformation factors (GP, GI, GV, GC, GM), governed by an overarching variable function symbolised by the unique Indian character ‘ન’.

This mathematical relationship establishes a profound, bidirectional law of nature:

• Structural transformation: Any change in the physical geometric structure of space fundamentally transforms its energy-mass.

• Energy-mass alteration: Any change in the energy-mass configuration of space fundamentally alters its physical geometric structure.

The mathematical condition of pure space

Every foundational breakthrough in theoretical physics stems from identifying a hidden property in nature. Within our manifest universe, we accept the interchangeability of energy and mass through Einstein’s relativistic framework (E=mc^2). But here, the baseline nature of a unit element of pure space (PSUE) that precedes our observable dimensions is defined by perfect equilibrium:

ePSue =mPSue

However, this research reveals a deeper truth: maintaining this perfect structural equilibrium is impossible. When this balance is disrupted, it triggers an eternal inequality:

ePSue ≠ mPSue

This shift acts as the primary trigger for physical existence and cosmic manifestation, forcing pure space to transform into other states. The observable universe is not a coincidence; it is a structural progression and a mathematical escape from the instability of an impossible void.

The five states of space: Solving the 100% mystery of existence

This bidirectional evolution of space undergoes five integrated phase transitions:

1- Pure space (PS): The eternal, infinite foundation where standard four-dimensional measurements do not exist. It is constituted of the unit element equation: PSue=P’Sue+‘ISue+‘’VSue+‘’’CSue+‘’’’MSue

2- Invisible space (IS): This state represents the dimensional form of pure space. It is constituted of the unit element equation: ISue=PS’ue+I’Sue+‘VSue+‘’CSue+‘’’MSue

3- Vibrat ing Space (VS): This state represents the vibrational form of invisible space. It is constituted of the unit element equation: VSue=PS’’ue+IS’ue+V’Sue+‘CSue+‘’MSue

4- Charged space (CS): This state represents the spherical form of space, introducing electromagnetism and structural curvature. It is constituted of the unit element equation: CSue=PS’’’ue+IS’’ue+VS’ue+C’Sue+‘MSue

5- Matter space (MS): This state represents the condensed form of space, manifesting as the fundamental matter particle, atoms, planets, and stars we can touch. It is constituted of the unit element equation: MSue=PS’’’’ue+IS’’’ue+VS’’ue+CS’ue+M’Sue

This five-state bidirectional transition elegantly resolves the 100% mystery of modern astrophysics. What scientists call “dark matter” and “dark energy” are not missing physical particles. Instead, they are the manifestations of the vibrating (VS) and charged (CS) states of space. Our current instruments fail to isolate them because they are calibrated for the matter (MS) plane and only part of the charged (CS) plane.

The GODEYE operator: Redefining gravity and healing the singularity

To conceptualise these spatial transitions, I developed the GODEYE Model. It introduces a unique mathematical operator defined by a simultaneous “act”—whether force or flow—operating perpendicularly inwards and outwards on every element’s surface at the exact same moment.

Through this lens, gravity is completely redefined. It is no longer an unexplained “pull” between masses, but rather the GODEYE Model flow of energy and mass as it transforms from the infinite P-plane toward the manifest Q-plane. Conversely, anti-gravity is the reverse flow of energy and mass returning to its pure, spatial source. This bidirectional flow serves as the ‘breath’ of the universe and beyond, naturally driving cosmic expansion and contraction.

Furthermore, this model resolves the greatest conflict in modern physics: the breakdown of general relativity and quantum mechanics at “singularities” like black holes or the Big Bang. By treating the singularity as a plane-specific transition, the laws of physics do not fail. Instead, black holes and the Big Bang are revealed as bidirectional spatial phase transitions between matter, charged, and vibrating space. The underlying architecture of existence remains entirely intact; only the structural form of space changes to eliminate mathematical infinities.

Conclusion: A foundation built in Cambodia

Discovery does not always require a massive particle collider; it can happen with a single person relentlessly questioning the nature of reality on a quiet night. It is profoundly fitting that this research reached its final form in the Kingdom of Cambodia—a nation whose ancient architects understood the alignment of mathematics, space, and the heavens, permanently etched into the stone geometries of Angkor Wat. Just as they mapped the cosmos structurally, this framework maps the universe and beyond through a basic mathematical form.

This research establishes fundamental framework of space. While Einstein’s framework utilises a constant conversion factor (c^2) strictly limited to wave-particle duality within the manifest universe, this new framework replaces that absolute by introducing the variable transformation factor and function ‘ન’ to describe the relationship between energy and mass across all planes of reality.

While the exact mathematical values for the individual plane transformation factors (GP, GI, GV, GC, GM) and the definitive mathematical form of the overarching ‘ન’ factor and function remain open for future research, this foundational blueprint establishes a definitive novelty in astrophysics. We are moving closer to actively decoding the blueprint of its creation.
References: https://doi.org/10.5281/zenodo.19369370

-Khmer Times-