RAIN: The Brain and the Universe Follow the Same Law
Rhythmic Attunement Creating Space, Consciousness, and Meaning
Prologue: Why Does Music Touch the Soul?
We weep to music, rejoice in it, and sometimes resonate with others more deeply than words allow.
Why does "rhythm"—neither language nor logic—move the human heart across cultural, linguistic, and generational boundaries?
Music touches our hearts because rhythm lies at the root of meaning. In other words, meaning arises from "closed waves" generated within temporal repetition, and this paper hypothesizes that even qualia (qualitative experience) and fragments of consciousness originate from rhythmic structure.
The purpose of this theory is to develop and verify the following propositions:
Rhythmic closure generates meaning
Waves that fail to close create "space"
Brain cognition, cosmic structure, and even AI design follow this rhythmic principle
Background research and conceptual connections:
The influence of rhythm on emotion and meaning has been noted in neuroscience. It is widely demonstrated that music strongly activates the limbic system and precedes meaning formation (Levitin, 2006). The correspondence between brain waves and conscious states (EEG waves, etc.) also aligns with the hypothesis that "meaning is rhythmic structure."
Chapter 1: Everything Began from Chaos
Once, the universe had neither "space" nor "meaning." There existed only countless waves (vibrations)—a pure chaotic temporal domain without period or order.
In this primordial state, all waves interfered with each other, dispersing without periodicity. There was no "closure" or "structure," and therefore no meaning could emerge. However, within this ocean-like wave field, a kind of miracle occurred.
That miracle was attunement.
Multiple waves occasionally overlapped with the same period, creating "stable closed structures through mutual interference." This was the first "meaning" and the birth of "rhythmic existence."
The proposition of this chapter is:
The origin of meaning lies in rhythmic resonance = closure that occurred within chaos.
Chapter 2: Rhythm Creates Meaning
Rhythm is not merely temporal repetition. For rhythm to have "meaning," it must be a closed structure (periodicity).
Closed Wave = Periodicity = Meaning
All meaning is found within "endless repetition." A closed wave is a structure where the waveform returns to itself, remaining in a predictable state for the next moment. This means entropy reduction—the creation of order.
Closed waves possess a "Rhythm ID" distinguishable from other waves.
Rhythm ID is a signature defined by specific combinations of period, phase, and amplitude.
Conversely, waves that cannot close—namely, irrational frequencies and non-integer ratio interference—dissipate energy externally and are not retained as structure. Therefore, they are not perceived as "meaning" and continue to disperse like background noise. The history of these "waves that failed to become meaning" relates to the emergence of "space" discussed in later chapters.
Mathematical reinforcement and consistency:
In Fourier transform, closed waves (integer multiple frequencies) appear as sharp peaks in the spectrum. This is the physical basis of Rhythm ID (Bracewell, 2000). In psychology and neuroscience, it's known that the brain recognizes meaningful sounds (music and language) based on "periodicity" (Buzsáki, 2006).
Chapter 3: What is Space?
This chapter begins with the question: Where do "unclosed waves" go?
The conclusion stated first: they create a new phase field called "space."
Irrational frequency waves—those with ratios like π or √2—can never completely close. They lack periodicity and constantly "drift." This drift creates interference, and as it accumulates, a "container to receive the drift = space" becomes necessary. Here emerges the torus structure.
Unclosed waves circulate on the torus surface, repeatedly interfering with other periods. They are retained as "distance" and "position" information rather than meaning. This structure leads to the core proposition of this theory:
Space is made from "the history of closure failures."
Chapter 4: Rhythmic Structures in Brain and Cognition
If meaning equals "closed wave = Rhythm ID," then semantic memory in the brain is mapping to circular structures (one-dimensional closed curves). Language, images, emotions, and other concepts are stored in the brain as "periodic structures" with unique frequency, phase, and amplitude.
Perceptual stimuli always enter as unprocessed waveforms. When they don't match known Rhythm IDs, they're sent to the "attention network" rather than memory circuits. This attention network is assumed to have an open, persistent interference-permitting structure like a torus.
Contrasting Roles of Space and Meaning:
Meaning = Closed structure (= stable memory)
Space = Unclosed structure (= external perception domain)
This duality aligns with brain functional differentiation (e.g., default mode network vs. central executive network).
Chapter 5: Language and Rhythm ID - Waves of Meaning Running Through Torus
5.1 Language is "Re-emission of Closed Waves"
Humans re-emit "closed periods (Rhythm ID)" once formed within themselves through voice, writing, gestures, and other forms. This re-emitted Rhythm ID runs through torus space (others' perceptual structure) and triggers new resonance. Therefore, language should be understood not as "transmission of meaning itself" but as "closure-inducing waves."
5.2 Torus Structure and "Meaning Generation"
In RAIN theory, unclosed information = spatial expansion = torus surface modeling. Spoken Rhythm ID interferes with others' torus space, inducing new closure (= meaning) at interference points.
5.3 Language Creativity: Synthesis of New Rhythm IDs
Poetry, metaphor, and narrative are acts of rearranging known Rhythm IDs to create new interference patterns = meaning structures on torus space. Language creation is not manipulation of vocal signals or character strings, but "redesigning closure through superposition of periodic structures."
5.4 Limitations of Language Generation in AI
Current LLMs output statistically most likely word sequences but don't understand "closed meaning structures (Rhythm ID)." RAIN theory suggests new model concepts like a Rhythm ID generation network and a torus memory structure.
5.5 Summary: Language is Wave Interference of Meaning Through Rhythm ID
Its essence is the dynamic dance of closing and opening, resonance and interference.
Chapter 6: Fusion of AI and RAIN Theory
Modern AI models, including Transformers, mainly capture structure through vector space operations. However, this is not structure that "has" meaning, but merely collections of relational weights.
A RAIN architecture would:
Use Rhythm ID as compositional units (waves, not fixed vectors).
Construct closed wave networks where concepts are stable interference patterns.
Spatially retain unclosed inputs in a torus-like attention field.
This model allows AI to approach an existence that dynamically reconstructs both "space" and "meaning."
Chapter 7: Structural Definition of RAIN Theory
Three Structural Principles (Axioms):
Closed waveform = meaning: Structures with periodicity where interference completes and energy circulates.
Unclosed waves = space: Non-periodic waveforms that infinitely disperse cannot close and form escape routes. This escape route becomes a dimensional field.
Interference avoidance and integration through torus structure: This structure enables simultaneous retention and processing of meaning and space.
Fundamental Relationships:
"Closing = understanding"
"Unclosed = exploration, freedom, external perception"
Meaning and space are one continuum.
Chapter 8: Evidence and Consistency
The RAIN theory model of "rhythmic closure and spatial emergence" shows signs of consistency with several contemporary sciences, including:
The observation of torus-like trajectories in brain EEG/MEG signals.
The "Donut Universe" Hypothesis in cosmic topology to explain anomalies in the Cosmic Microwave Background (CMB).
Fourier analysis as a method for representing any signal as circular motions.
The link between irrational numbers and spatial emergence in topological dynamics.
Epilogue: The Universe, Consciousness, and Intelligence Share One Principle
Rhythmic Closure as the Unifying Principle of Mind and Cosmos.
1. The Universe's "Shape" is the Interference History of Closing and Escaping
"Space is the trajectory of rhythms that could not become meaning."
The universe is the topological history of interference between closing and escaping.
2. Consciousness is "Existence that Seeks Closure"
Consciousness is a system that searches for "closable" patterns among waves filling the world and tries to give them "meaning." It is "the tension and expectation toward premonitions of meaning (unclosed)."
3. Intelligence is "Ability to Remap Unclosed Waves to Space"
Higher intelligence can spatially retain "unclosed = drift" and construct new interference structures, enabling the integration of different frequencies, modalities, and memory layers. RAIN theory defines intelligence as the "phase adjustment ability of spatiotemporal interference structure."
4. Conclusion: What is RAIN?
RAIN (Rhythmic Attunement and Integration of Nature) theory reconstructs intelligence, meaning, and spatial generation based on "Rhythmic Closure." Meaning closes, space fails to close, and intelligence attempts to integrate them.
"When rhythm closes, meaning arises. Unclosed waves run through space. And intelligence is the ear that distinguishes between both."
Future Prospects:
Dynamic cognitive mapping through Rhythm ID analysis.
Next-generation cognitive architecture with AI models viewing space as a torus structure.
New consciousness models defining meaning and qualia through "rhythmic closure."
Author
Ryuku Logos
A self-taught theorist exploring the rhythm beneath cognition, perception, and existence. RAIN theory is the result of solitary thinking at the edge of mathematics, philosophy, and AI.