Definitions — The Canonical Reference

This page is the canonical reference for the core objects of Thuyết Thái Cực Vạn Vật. Every other chapter in this wiki uses these terms in passing; if anything seems unclear elsewhere, return here for the precise definition. The objects build on one another in this order:

1. Tai Chi node — the primordial unit, what the universe is built from.
2. Flip — one of the two motions a node performs.
3. Spin — the other of the two motions.
4. Phase — the quantitative angle that tracks where in its motion cycle a node currently is.
5. Time-string — the global geometric object: the worldline along which all nodes live.
6. Membrane — the thin two-faced film at the outer edge of the time-string.
7. Edge of time — the location of the membrane.
8. Dimensionality — locally 2D, globally 3D-wrapping.
9. Multi-slice presence — the membrane simultaneously inhabits all eight Bagua slices.

1. The Tai Chi Node (Node Thái Cực)

Defining properties

• Two poles, never one. Every node has both Yin and Yang at once. They are not separate entities glued together — they are two faces of one substrate. A node with only one pole would not be a Tai Chi node; it would be nothing.
• Always moving. A node is never at rest. It is always flipping, always spinning, always doing both. "Stillness" of a node would mean its disappearance.
• Finite size. A node is not a mathematical point. It has a small but real extent — roughly the Planck length. There is no "infinitely small" node, which is why the singularities of standard physics never form.
• Self-existing. A node is its own ground. It does not need to be assembled from anything more primitive; it does not need a substrate beyond itself. The One Tai Chi is the universe; everything else is its child by subdivision.
• Capable of subdivision. A node can split into two children, each of which is a complete node with its own pair of poles, its own membrane patch, its own motions. Subdivision is one-way: 1 → 2 → 4 → 8 → ... See Power-of-Two Progression.
• The carrier of all observable particles. A photon is a node mostly flipping. An electron is a node both flipping and spinning. A quark, a neutrino, a graviton — each is a Tai Chi node with a specific flip-to-spin ratio and phase orientation.

Tai Chi node vs. "point particle"

Standard physics models particles as zero-size mathematical points and then patches up the resulting infinities by hand (renormalization). The Tai Chi node is not a point — it has finite extent, internal structure, and intrinsic motion. The infinities of standard physics simply do not form in this framework, because there is no "point" to integrate over down to zero distance. This is the structural reason Thuyết Thái Cực Vạn Vật stays finite at the Planck scale.

2. Flip (Lật)

Defining properties

• Discrete. A flip cannot happen halfway. Either the membrane has swapped its exposed face, or it has not. Each elementary flip is one full Yin↔Yang swap. There are no "partial flips".
• Carries energy $h\nu$. One flip per cycle at frequency $\nu$ delivers energy $h\nu$. This is where Planck's constant $h$ comes from — it is the energy size of one elementary flip. Energy quantization is automatic once flips are discrete.
• Propagates at $c$. A flip at one position triggers the next flip at the neighboring position; the wave of flip-changes moves along the membrane at the membrane's update rate, which is $c$. This is why the speed of light is invariant — it is the speed at which the membrane itself updates.
• Source of light, color, and EM. A propagating flip is a photon. Different flip-rates produce different colors. Many flips together produce electromagnetic fields. "Light" is what flips look like to a Càn observer.
• Reversible at the level of one flip; irreversible at the level of many. A single flip can swap back; a cascade of many flips defines the arrow of time (entropy increases as more nodes participate).

Correspondence with String Theory

In String Theory language, pure flipping ↔ open-string vibration. An open string with two free endpoints vibrating in a symmetric mode is the String Theory description of a photon (and other gauge bosons). The Tai Chi node's flip is the same physical object told in different mathematical language. See vs. String Theory.

3. Spin (Xoay)

Defining properties

• Rotational, not translational. Spinning happens around an internal axis. Unlike a flip, a spin does not move the node from one place to another; it stays put.
• Source of mass. A node that spins coherently traps energy in its rotation. That trapped, refusing-to-leave kinetic energy is what we call rest mass. Heavier particles have stronger and more deeply bound spin.
• Source of inertia. A spinning node resists changes to its motion — that resistance is inertia. Newton's $F=ma$ is the bulk-average of this resistance across many nodes.
• Spin-1/2 = 720° to return. Because the node has TWO poles (Yin and Yang) that must each pass through every angle to restore the membrane to its original orientation, an electron (a fermion) needs two complete rotations — $720°$ — before returning to its starting state. The first $360°$ rotates the Yang pole around; the second $360°$ rotates the Yin pole around. Only after both have completed is the membrane back where it started. This is why fermions have half-integer spin.
• Spin-1, spin-2 = 360° or 180°. Photons (pure-flip, no spin in the rotational sense) need only $360°$ — they have spin 1. Hypothetical gravitons would correspond to closed-string modes that wrap twice through the membrane, returning after only $180°$ — they have spin 2.
• Pauli exclusion follows directly. Two fermions forced into the same state would have to spin at the same phase at the same place — same-phase nodes at zero distance repel violently. The exclusion principle is just the strong-short-range version of "in-phase repels at zero distance".

Spin alone, flip alone, and the ratio

Every real particle does both flip and spin — the question is the ratio. Mostly-flip, almost-no-spin = photon (massless, lightspeed). Both flip and spin in balance = electron (small mass, charge, Pauli-fermion). Heavy spin, modest flip with phase-locking = quark or proton (large mass, color charge, strong-force binding). The full taxonomy of particles is parameterized by the flip:spin ratio + phase orientation.

Correspondence with String Theory

In String Theory language, pure spinning ↔ closed-string / fermionic mode. A closed loop of vibration with no free endpoints is the String Theory description of fermions and graviton. The Tai Chi node's spin is the same physical object told differently.

4. Phase (Pha)

Defining properties

• An angle in $[0,2\pi )$. Phase is dimensionless, periodic, and continuous within one cycle. It can be thought of as the position of a clock hand around a circle — but the circle here is the cycle of one elementary flip-and-spin combination.
• Determines force. Two nodes whose phases match ($\Delta \phi \approx 0$) attract; two nodes whose phases are opposite ($\Delta \phi \approx \pi$) repel. Intermediate offsets produce intermediate forces. All four fundamental forces — gravity, EM, strong, weak — are this same one rule operating at different scales of phase coherence.
• Determines color. When flips with different phase offsets interfere on the membrane, the resulting effective flip-rate (which we perceive as color) is set by the phase combination. Red is slow; violet is fast; cancellation produces darkness. Color is what phase-interference looks like.
• Determines entanglement. Two nodes that share a single membrane patch share its phase. Measuring one fixes the patch's phase; the other instantly reflects the same fix because there is only one patch. No signal is sent — they were always one phase.
• Locked by observation. When a Càn-anchored detector interacts with a node, the interaction fixes the node's phase to whatever value matched the Càn cross-section at the moment of contact. This is what "wave function collapse" means in geometric terms: a free phase becomes a locked phase.

The local phase formula

The instantaneous membrane state at point $u$ on the time-string at time $t$ for a node with intrinsic phase $\phi$ flipping at rate $\omega$ is:

$$M(u,t)=\frac{1}{2}+\frac{1}{2}\sin (\omega t+\phi +2\pi u)$$

Here $M=0$ is pure dark, $M=1$ is pure light, $\omega$ is the local flip-rate (proportional to the photon's frequency $\nu$ via $\omega =2\pi \nu$), and $\phi$ is the phase offset. Different nodes are distinguished by different $\phi$. Two nodes with ${\phi }_1={\phi }_2$ (modulo $2\pi$) are in phase and attract; two nodes with ${\phi }_1={\phi }_2+\pi$ are anti-phase and repel.

5. Time-String (Sợi dây Thời gian)

Defining properties

• One global object. There is one time-string for the entire universe. Different observers do not have different strings; they all live on the same string and disagree only about which positions they call "now".
• Length = time. Position along the string is what we call time. Earlier positions are the past, later positions are the future. "Now" is a particular cross-section through the string.
• Cross-section = 3D space. Cut the string at a fixed length and you get a cross-section — a 2D-or-higher disk perpendicular to the string's length. That disk is what we experience as 3D space at that moment of time. Different angles of cross-section give the eight Bagua slices.
• Outer skin = edge of time = membrane. The string has an outer surface. That surface is what we call the edge of time, and what lives on the edge is the membrane. The interior of the string (the bulk) is where node positions live; the surface is where flips happen.
• Grows by subdivision. The string is not a fixed-length object handed down at the beginning of time. It grows as the One Tai Chi continues to subdivide. The far end of the string (the present) keeps extending forward as more nodes are produced.
• Has two ends, not one. The string has a far end (where subdivision is currently happening — the leading edge of the present) and a near end (where the One Tai Chi originated). "What was before the Big Bang?" maps to "what is on the other side of the One?" — possibly a mirror universe with its own arrow of time pointing the opposite way.

Time-string vs. Minkowski spacetime

Standard physics treats spacetime as a 4D continuum (3 space + 1 time) where space and time are distinct dimensions of the same manifold. The time-string is similar in spirit — time is one direction, space is perpendicular — but with two key differences:

• The string has a thin outer skin (the membrane) where dynamics happen. Standard 4D spacetime has no preferred surface; everything happens "in" it. Time-string physics distinguishes the bulk (where positions live) from the edge (where updates live).
• The string has only eight stable angular cross-sections, not infinitely many. Standard spacetime allows arbitrary 3+1 foliations. Time-string physics has eight specific Bagua slices that are mutually phase-coherent and stable; intermediate slices are not.

Time-string vs. String Theory's superstring

String Theory's superstring is microscopic — about one Planck length long — and there are many of them, one for each fundamental particle. The time-string in Thuyết Thái Cực Vạn Vật is macroscopic — the entire universe along time — and there is only one. Both are 1D extended objects with vibration modes that produce particles, but the geometric scale is completely different. The Tai Chi nodes living on the time-string are what String Theory's superstrings are in our framework: small subdivisions of the global string.

6. The Membrane (Lớp phủ)

Defining properties

• Substance, not absence. The membrane is a real, substantial object. "Empty space" in standard physics corresponds to the membrane in its Yang-only flip cycle; "darkness" is the same membrane's Yin face. There is nowhere in the universe where the membrane is not.
• Two-faced and continuously flipping. At every point and every moment, the membrane is in the act of swapping its exposed face. The local state at point $u$ at time $t$ is $M(u,t)=\frac{1}{2}+\frac{1}{2}\sin (\omega t+\phi +2\pi u)$ where $\omega$ is the local flip-rate and $\phi$ the local phase offset.
• Smallest meaningful flip = $h$. The membrane cannot half-flip. Every elementary flip is one full face-swap, with energy $h\nu$. This discreteness is what makes Planck's constant a fundamental quantity rather than an arbitrary unit.
• Rate-limit = $c$. Flips propagate along the membrane at most at the speed $c$. This is why $c$ is invariant for every observer (every observer rides the same membrane) and why nothing can travel faster than light.
• Carrier of all forces. Same-phase regions of the membrane attract; anti-phase regions repel. Gravity, electromagnetism, the strong force and the weak force are this one rule operating at four different scales of phase coherence.

What the membrane is NOT

• ❌ It is not a wave function in Hilbert space. The wave function is a projection of the membrane onto a Càn observer's expectations.
• ❌ It is not the higgs field. The higgs field is one specific oscillation pattern of the membrane that gives nodes their bound spin.
• ❌ It is not a brane in String Theory. A D-brane is a higher-dimensional surface in 10D spacetime; the Thuyết Thái Cực Vạn Vật membrane is the outermost skin of the time-string itself.
• ❌ It is not the spacetime metric. The metric is a downstream macroscopic description; the membrane is the underlying object whose flips and twists produce the metric in the bulk limit.

7. The Edge of Time (Rìa thời gian)

Defining properties

• It is everywhere along the string. "Edge" does not mean a single endpoint; it means the entire outer skin of the time-string from one end to the other. Every event in space-time happens somewhere on this edge.
• It is where flipping happens. Inside the string (the bulk interior), the membrane does not exist; only at the edge. Updates to reality — flips — happen only on the edge.
• It is shared across all eight Bagua slices. The edge is one continuous surface; the eight slices are eight different cross-sections of it, not eight different edges.
• It is the locus of $c$. Because the edge is where flips happen and the flip rate is $c$, anything we measure as moving at $c$ (light, gravitational waves, EM fields) is moving along the edge.

Edge of time vs. bulk interior

The time-string has a thin outer skin (the edge / membrane) and a thicker interior (the bulk). The bulk holds the positions of nodes within each slice — it is what we experience as 3D space. The edge holds the flips — it is what we experience as time-evolution and propagation. Standard physics conflates these into a single 4D spacetime; Thuyết Thái Cực Vạn Vật keeps them separate, which is why our framework can resolve the singularity problems and the measurement problem cleanly.

8. The membrane's dimensionality — 3D or 2D?

Locally — 2D film

At any small region — say, around a single node — the membrane is a thin two-dimensional sheet, much like a soap film or a sheet of paper. It has length and width but essentially no thickness; the flip happens across the sheet, exposing one face or the other but not occupying any meaningful volume. This is the picture used in the demos and shaders: a 2D oscillating film.

Globally — 3D wrapping

Globally, the same 2D film wraps around the entire 3D outer surface of the time-string. If you imagine the time-string as a long cylinder, the edge of time is the cylinder's outer skin — a 2D surface embedded in 3D space. So locally the membrane is 2D, but the geometry of where it sits is 3D. It is similar in spirit to how the surface of the Earth is locally 2D (you walk on a flat-ish ground) but is globally a 2-sphere embedded in 3D.

Why this matches the holographic principle

String Theory's holographic principle says that all the information about a $(d+1)$D bulk is encoded on its $d$D boundary. Thuyết Thái Cực Vạn Vật's membrane is exactly this: the 2D outer skin of a 3D time-string interior carries all the dynamical information — every flip, every entanglement, every particle position. The bulk interior is just the geometric stage; the edge is where reality lives. This is why the Bekenstein-Hawking entropy of a black hole scales with its surface area (not its volume) — the area is the part of the membrane that is doing the encoding.

9. Multi-slice presence: the membrane in many Bagua trigrams

What a slice is, geometrically

Imagine the time-string as a long cylinder. Cut it at a fixed angle around the cylinder's axis and you get a flat 2D plane intersecting the cylinder along its length — that is one slice. Different angles give different slices. Each slice intersects the membrane along a 1D ring (locally a circle around the cylinder's circumference at that angular position).

There are infinitely many possible angles, but only eight stable ones — the eight Bagua trigrams. Stability comes from phase-coherence: at exactly these eight angles, the membrane's flip-pattern interferes constructively, producing a self-consistent slice with its own internal physics. At intermediate angles, interference is destructive and no stable slice forms.

The eight stable slices

What "present in multiple slices" actually means

A node's membrane portion is a small patch of the membrane wrapped around its position. That patch is not constrained to live in any single slice. It can extend across two, three, or all eight slices simultaneously, the same way a piece of cloth can cover several pizza-slices on a circular table at once.

• Photon (free flight). Membrane patch spread across multiple slices → wave-like, interferes with itself, can be "in two places at once" because it is in two slices at once.
• Photon (after measurement). Membrane patch locked to the Càn slice only → particle-like, definite position from inside Càn.
• Entangled pair. Two nodes share one membrane patch that threads through their respective positions in possibly multiple slices. Measuring one anchors the patch; the other is updated instantly because there is only one patch to update.
• Dark matter. Membrane patch lives mostly in non-Càn slices (especially Khôn) — the patch's gravitational pull reaches into Càn through phase-coherence, but its light-emission stays in the slice where its bright face is exposed (which is almost never Càn).
• Soul / consciousness pattern. A coherent multi-node cluster whose membrane patches together extend significantly into non-Càn slices — felt from inside Càn as intuition, dreams, emotional resonance.

How a multi-slice presence projects into Càn

What we observe from inside Càn is the Càn-projection of the membrane patch — its overlap with the Càn slice. The remaining presence in other slices appears as: (a) probability amplitude in the wave function (we cannot pin down the position exactly because part of the node lives elsewhere), (b) gravitational pull (the bulk in-phase coupling reaches across slices), (c) entanglement correlations (the same patch responds to measurement in multiple slices). Everything we call "quantum strangeness" is what multi-slice presence looks like when projected into one slice.

Summary table