Gravity, in ordinary space, radiates outward in all directions. Its intensity diminishes with distance, distributed across the surface of an expanding sphere. This is why gravity weakens with the inverse square of the distance—because the area of a sphere grows with the square of its radius.
Gravity, in ordinary space, radiates outward in all directions. Its intensity diminishes with distance, distributed across the surface of an expanding sphere. This is why gravity weakens with the inverse square of the distance—because the area of a sphere grows with the square of its radius.
<math mode="display">F_n = \frac{G_n M m}{r^{n-1}}
<math mode="display">F_n = \frac{G_n M m}{r^{n-1}} </math>
<math mode="display">
\begin{aligned}
\begin{aligned}
\text{(3D Gravity)} & \quad F_3 = \frac{G M m}{r^2} \\
\text{(3D Gravity)} & \quad F_3 = \frac{G M m}{r^2} \\
Interdimensional Curved Subspace Structures, officially known as Anti-de Sitter Subspace, are named in honor of Willem de Sitter, recognizing his foundational contributions to our understanding of spacetime. De Sitter worked closely with Albert Einstein in Leiden during the 1920s, exploring the structure of the universe. Around the same time, Tullio Levi-Civita also independently contributed to the mathematical discovery of de Sitter space.
Anti-de Sitter Subspace refers to a class of geometric structures characterized by negative curvature. This curvature allows spatial dimensions to fold and interconnect in such a way that traversing through these subspaces creates the illusion of reduced distance in normal space, effectively enabling faster-than-light travel relative to standard spacetime metrics while maintaining laws of relativity.
Gravity, in ordinary space, radiates outward in all directions. Its intensity diminishes with distance, distributed across the surface of an expanding sphere. This is why gravity weakens with the inverse square of the distance—because the area of a sphere grows with the square of its radius.
Where G is the gravitational constant in 3 dimensions, and G5 is the analogous constant in 4 spatial dimensions. The power of r decreases with dimensionality due to the spreading of field lines in higher-dimensional space. The reason the exponent becomes r^{n−1} is due to how gravitational field lines (or flux) spread out over the surface of an (n−1)dimensional sphere. As dimensionality increases, the field "dilutes" faster, and hence the force weakens more rapidly with distance.
But beyond the fabric of observable space, in hyperspace, gravity does not simply propagate in three-dimensional spheres—it flows through hyperspheres of up to ten dimensions. Yet we do not feel its full might. The reason lies in the warping of spacetime described by Anti-de Sitter geometry. This warping introduces a phenomenon where most of gravity is mysteriously confined within our familiar three dimensions.
The higher-dimensional gravitational field—the one theorized in string theory and M-theory—is smeared thin across vast dimensions. However, this AdS warping, combined with a compressive effect across the fourth dimension and beyond, acts as a funnel, pressing gravity back into our brane. What we observe as the weakness of gravity is, paradoxically, a result of its attempt to escape—only to be drawn back by the curvature of the subspace.
It's as if reality itself resists our departure:
“Are we even meant to dive deep beyond our slice? Every road leads back to our brane.” - Edgar Roussel, Grandson of Robert Roussel, Co-Father of AdS Drive
The following is an excerpt from an educational session with Professor Wells, answering a question posed by students:
"Let’s use a simple analogy with a cube. Imagine a cube in three dimensions, with a diagonal vector extending from one corner to the opposite corner at coordinates (1,1,1). Now, imagine projecting the entire cube onto a plane perpendicular to that vector. The result is a two-dimensional hexagonic subspace on the plane.
Credit: 3Blue1Brown
If we apply the same concept to a four-dimensional cube, we get a three-dimensional subspace. This specific subspace has a name: the Rhombic Dodecahedron. Interestingly, you can reconstruct the original cube from this subspace, showing how the dimensions are interconnected."
Credit: 3Blue1Brown
"This concept forms the foundation of my work on mythical new particles, which I’ve named Fractons. These are five-dimensional particles that I theorize as key to understanding even higher-dimensional interactions. But that’s a topic for another day"
—"The Forgotten Planet", Page 38
Experimental exploration of these subspaces began in the late 22nd century, following the invention of the Anti-de Sitter Drive. This breakthrough was made possible after the mathematical confirmation of M-Theory and its brane cosmology framework. Subspaces not only enabled new modes of travel but also provided key corrections in physical calculations—offering insight into one of the universe’s oldest mysteries.
Notably, these structures helped explain why gravity, which uniquely propagates through all spatial dimensions (excluding time), is exponentially weaker than the other fundamental forces. The dispersal of gravitational influence across subspace layers offered the long-sought answer to the so-called hierarchy problem, reshaping understanding of dimensional interaction.
Within Anti-de Sitter (AdS) space, objects—particularly starships—traveling through subspace encounter an unusual phenomenon: tensorial pressure arising from higher-dimensional energies inherent to the subspace itself. This force, subtle yet formidable, can place immense strain on vessels unprepared for its intensity.
During the initial AdS drive tests in the closing years of the 22nd century, primitive subspace-capable ships—most notably Mark Cooper's personal vessel, Proton Prime—proved incapable of withstanding the AdS environment. The Proton Prime was damaged upon entry, succumbing to the overwhelming energy gradients and collapsing from within. Many early test crafts returned with heavy structural damage, the result of their exposure to what would later be defined as Anti-de Sitter Tensors.
These tensors are not just abstract mathematical entities; they manifest in observable ways. Travelers through AdS subspace on extended journeys began to report a strange haze—a translucent mist gliding along their hulls. Its shimmering, electric appearance was likened to rainforest thunder-mist: dense, glowing vapor just before a storm.
Speculation among physicists soon emerged that the haze could be a supersymmetric Bino particle—a composite excitation of the Photino and Zino, supersymmetric partners of the photon and Z boson, respectively. In normal spacetime, the symmetry breaking that governs particle interactions causes such particles to decay almost instantly. However, the elevated energetic conditions within AdS space appeared to stabilize the Bino, allowing it to persist visibly along the hulls of traveling vessels.
This physical manifestation of electroweak supersymmetry was interpreted as "Electroweak Leakage". As the Bino particle eventually decays, its components unravel: the Photino disperses harmlessly, while the Zino undergoes further transformation into quark doublets. These interactions contribute to the intense tensorial stress experienced by ships within AdS subspace, now formally recognized and classified as Anti-de Sitter Tensors.
Subspace Projection from 4D to 3D
In Anti-de Sitter (AdS) space, projecting a 4-dimensional object (such as a tesseract) into 3D subspace involves a transformation matrix applied to the higher-dimensional vector.
V_{3D} = P_{4 \to 3} \cdot V_{4D}
Where:
V_{4D} = \begin{bmatrix} x \\ y \\ z \\ w \end{bmatrix}, \quad V_{3D} = \begin{bmatrix} x' \\ y' \\ z' \end{bmatrix}
P_{4 \to 3} = \begin{bmatrix}
1 & 0 & 0 & a \\
0 & 1 & 0 & b \\
0 & 0 & 1 & c
\end{bmatrix}
The constants a, b, c represent the projection coefficients from the 4th dimension into each 3D axis. These are typically chosen such that the resulting geometry maintains:
Rotational Symmetry: in 3D subspace
Translational Symmetry: across dimensions
Temporal Continuity: symmetry in time propagation
Tensorial Pressure & Anti-de Sitter Tensors
During AdS travel, a tensorial stress field applies pressure to ships. This is modeled using a stress-energy tensor:
\phi: Scalar field component (linked to supersymmetric Bino field)
Electroweak Leakage Representation
The electroweak haze (Bino condensation) on the ship's hull can be approximately modeled by a decaying wavefunction:
\Psi_{Bino}(x,t) = A \cdot e^{-(\gamma + i\omega)t} \cdot \psi(x)
Where:
\gamma: Decay constant of the Bino particle
\omega: Angular frequency of electroweak oscillation
\psi(x): Spatial component of the wavefunction
The Scientific Assembly proposed and created a table of "Subspace Projection Scaling", explaining each R subspace Dimensional Space Time Dilation Est. Travel Time Energy Cost (Arb. Units) and Description
