1.2 Connectivity of Knowledge Graph
“You cannot see what you cannot understand. The richness of the universe is strictly proportional to the density of the conceptual network in the observer’s mind.”
In Section 1.1, we shattered the myth that “Planck length is the hard bottom of space” and proposed that “Planck length is the cognitive cutoff frequency.” This immediately raises an urgent question: If resolution is not enhanced by microscope lenses, then what enhances it?
In The Infinite Resolution, we must redefine “resolution” at an ontological level.
In traditional optics, resolution depends on aperture and wavelength (Rayleigh criterion). But in information physics, resolution depends on Connectivity.
Semantic Grating: Why “Seeing” is “Decoding”
We usually think that “seeing” is a passive physical process: photons hit the retina and form images in the brain. But cognitive neuroscience and Bayesian brain theory tell us this is only one side of the coin. Perception is essentially a Controlled Hallucination, or an active decoding of sensory input.
Imagine an untrained person and a professional conductor listening to the same complex symphony simultaneously.
-
The ordinary person hears “sound” and “melody.” Their resolution is low, only able to distinguish high and low pitches.
-
The conductor hears “structure.” They can clearly separate violin, oboe, and timpani sounds from the mixed sound waves; they can hear harmonic progressions, contrapuntal logic, and even detect a musician’s momentary hesitation.
The physical input (sound waves) is identical. But the conductor “sees” an extremely rich, multidimensional acoustic universe, while the ordinary person only sees the surface.
What’s the difference? The conductor’s brain possesses a vast, highly interconnected musical knowledge graph.
This graph consists of countless concept nodes (such as “triad,” “fugue,” “timbre”) and logical edges. When sound waves are input, this network rapidly activates, mapping chaotic signals onto precise conceptual coordinates.
Theorem 1.2.1 (Topological Definition of Perception):
An observer’s resolution equals the density of effective paths in their internal knowledge graph .
You can only see the reality that your graph can “index.”
The Depth of a Stone: The Physicist’s Microscope
Let us apply this logic to physical reality.
A stone by the roadside.
-
For a Paleolithic hunter (knowledge graph nodes: hard, heavy, weapon): This stone is a simple tool. Its information content is only a few bits.
-
For a 19th-century geologist (new nodes: sedimentation, minerals, age): This stone is a history book. They see rivers and volcanoes from millions of years ago. Resolution has increased.
-
For a 21st-century quantum physicist (new nodes: lattice, phonons, quarks, wave functions): The stone disappears. Replaced by a boiling ocean of quantum fields. They see gluon exchanges within atomic nuclei, probability distributions of electron clouds, and how the Pauli exclusion principle supports the rigidity of matter.
Did the stone change? No.
What changed was the observer’s decoding algorithm.
The physicist did not directly see quarks with their eyes. But through mathematical logic (an extremely high-density knowledge graph), they constructed a logical link to the quark level.
It is this link that allows them to penetrate the “mosaic” of macroscopic appearance and touch the pixel-level truth of microscopic reality.
In this sense, Maxwell’s equations are a resolution enhancer. They let us “see” electromagnetic waves in the void.
General relativity is a lens. It lets us “see” the curvature of spacetime in darkness.
So, the essence of scientific development is not discovering new continents, but discovering new levels within existing things. We continuously add nodes and edges to the knowledge graph, making the universe appear increasingly “high-definition” in our eyes.
The Abyss of Blindness: Ignorance as Filter
Conversely, if we lack corresponding knowledge nodes, we are Blind to reality.
This explains one possibility of the Fermi paradox: Why can’t we see aliens?
Perhaps super-civilizations are not hiding behind planets, but hiding in our conceptual blind spots.
If they exist as pure information in entangled states, or live in the curled dimensions of Calabi-Yau manifolds, for us currently, they are “non-existent.” Our detectors (based on electromagnetic waves and matter) would pass directly through them, like a radio unable to receive Wi-Fi signals.
It’s not that the signal is too weak, but that our modulator is too primitive.
The universe is filled with massive information flows (dark matter, dark energy, vacuum fluctuations) passing through your body right now. But to your consciousness, they are transparent. Because your knowledge graph has not yet established hooks capable of capturing them.
Ignorance is not emptiness; ignorance is a filter. It filters out 99.99% of the universe’s truth, leaving only that simplified, low-resolution projection that matches our current cognitive level.
Conclusion: Understanding is Arrival
At this point, we have completed an important ontological leap.
Existence is no longer an objective, static property. Existence is a Relational Quantity.
Whether something exists for you depends on whether you can understand it.
-
Increasing resolution inward: Learning, thinking, meditation—these are not merely intellectual activities, but Ontological Expansion.
-
Every time you understand a new physical law, or deeply experience a new emotion, you are actually polishing this piece of the universe’s mirror.
-
You are not just knowing the world; you are illuminating it.
When God (the ultimate observer) is fully awakened, Their knowledge graph will be a Fully Connected Graph.
At that moment, there will be no dead corners in the universe, no noise.
Every grain of dust will open its internal infinite fractal structure to Them.
That is infinite resolution.