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Geometry is the language of the universe. 

Evils greatest accomplishment would be to convince us that it does not exist.

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Geometry is math. Physics is science. Physics uses geometry as a language.

The Mandelbrot Set

The Mandelbrot set, defined by the equation zn+1 = zn2 + c, is plotted on a two-dimensional complex plane. The set itself is two-dimensional, as it occupies a finite area. However, its boundary exhibits fractal behavior and has a Hausdorff dimension of 2.

At first glance, this seems counterintuitive. A circle, for example, is a simple shape on a plane with a smooth, well-defined boundary. Its edge is one-dimensional, even though it encloses a two-dimensional region.

The Mandelbrot set behaves very differently. Its boundary is infinitely complex: no matter how far you zoom in, new layers of structure continue to appear. Unlike the smooth edge of a circle, the boundary never becomes simple or regular at any scale.

Key Takeaway: The Mandelbrot set is 2D, but its boundary is so infinitely complex that it also has a dimension of 2.

Dimensions

Humans use mathematics to define and explore spatial dimensions.

Zero Dimension (0D): A point is considered zero-dimensional, as it has no length, width, or depth, it simply exists as a location.

One Dimension (1D): A line is one-dimensional, characterized by length alone.

Two Dimensions (2D): In the second dimension, we introduce a new axis, width, forming a flat plane where closed shapes like polygons and circles can exist.

Three Dimensions (3D): Moving into the third dimension, we add depth, represented by the z-axis, allowing us to describe volumetric forms like cubes, spheres, and all physical objects as we perceive them in space.

However, when it comes to dimensions beyond the third, we run into a cognitive limit. Visualizing a fourth spatial axis, one that is perpendicular to the three we already know, is beyond the capabilities of our spatial perception. We can infer the existence of higher dimensions mathematically or symbolically, but we cannot fully visualize them in the same way we understand length, width, and depth.

In physics, the concept of a fourth dimension takes a different form. Rather than introducing another spatial direction, the fourth dimension is understood as time. By combining the three spatial dimensions with time, we form what is known as spacetime, where every event is defined not only by where it occurs, but also when. Unlike spatial dimensions, which we can move through freely, time appears to flow in a single direction, making it fundamentally different in how it is experienced.

Image from www.brendangrahamdempsey.com

A rotating tesseract: the 3D projection (shadow) of a 4D cube, morphing as it turns through an unseen dimension.

Mathematically a fourth spatial dimension can be defined; just as a cube extends a square into three dimensions, a four-dimensional shape, such as a tesseract, extends a cube into a higher spatial dimension. While we cannot directly perceive such objects, we can represent them through projections and analogies, offering glimpses into how higher-dimensional space might behave. In this way, the fourth dimension sits at the boundary between what we can experience and what we can only describe, mathematically precise, yet intuitively out of reach. Or is it?

Loki’s Tesseract symbolically represents higher-dimensional access, using “space” as a power source to open portals.

Violations of Linear Spacetime

The “boundary” of your human world is not a hard edge, it’s a limit defined by what you can observe and interact with. Your “dimension” is basically: 3D space + time (spacetime). There’s no wall around it, but there are limits. The closest thing to a real boundary is the observable universe. It’s the farthest distance light has had time to reach you. Beyond that, you cannot see or receive information. Or can you?

Within our bounded world, we still experience phenomena that hint at interaction with something beyond it. Things like:

Déjà vu
The feeling of “this already happened” suggests a moment where future and past perception overlap, breaking linear time sequencing.

Unexplained synchronicities
Meaningful coincidences (e.g., thinking of someone and they call) imply non-local connections between events, not explained by cause-and-effect chains.

The observable universe.

Ghost Sightings / Apparitions
Seeing a figure tied to a past person suggests information or form persisting outside its original time, appearing in the present.

Mediumship
Communicating with the dead implies information transfer across time, from a person who no longer exists in the current timeline.

Psychic Intuition
Accurately sensing outcomes before they occur implies information arriving from the future into the present.

Astral Projection
Experiencing oneself in another location while the body remains still suggests consciousness not confined to physical position in space.

Past-life Memories

Cases like James Leininger a child who described detailed memories of a WWII pilot, are often cited as examples of consciousness accessing information beyond a single lifetime.

Telepathy
Direct mind-to-mind communication implies information transfer without physical signals, effectively ignoring spatial separation. In the work of Diane Hennacy Powell, there are documented cases of non-speaking autistic individuals identifying hidden objects, responding to unseen prompts, or communicating complex thoughts without verbal language.

Near-death experiences
Reports of timeless awareness or life review suggest consciousness operating outside normal time flow. In the book Dying to Be Me, Anita Moorjani, dying of late-stage cancer describes leaving her body, experiencing a state of expanded awareness beyond space and time, and then returning, after which her body rapidly healed, with medical documentation showing the disappearance of her cancer.

Remote Viewing

Declassified CIA programs like Project Stargate used trained psychic spies to perceive distant locations, including targets across the world and even different points in time, implying access to information beyond normal space-time constraints.

These aren’t just strange occurrences, they’re violations of linear space-time. For instance, when a medium brings through a message from someone who has passed, or a remote viewer sees an alien civilization on Mars 3000 years ago, or top-secret NSA files in a filing cabinet, they are interacting with information that bypasses space and time entirely.

How is that possible? Does our consciousness have access to a higher-dimensional structure that we aren’t fully aware of?

Reality is an Illusion

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The Amplituhedron