Appendix F: The Physics of Narrative Engineering — Phase Rewriting of History

In Volume IV “Rewrite” of the main text of Vector Cosmology VII, we proposed a startling view: observers possess “editing rights” over the past. We cannot change events ($v_{ext}$) that have occurred, but we can change the meaning ($v_{int}$) of events.

This statement is often misunderstood as psychological “self-comfort.” But this appendix will prove, based on Quantum Interference and Operator Theory, that “narrative” is a real physical operation.

We will show that memory in Hilbert space is a vector with Phase. Through “narrative reconstruction,” we are actually rotating the angle of this vector, transforming the past’s resistance (destructive interference) toward the future into momentum (constructive interference).

F.1 Quantum State of Memory: Magnitude and Phase

In the holographic brain, a memory $M$ is not a static file but a wave function:

$$|M⟩=A\cdot e^{i\theta }$$

• Magnitude ($A$): Represents the physical weight of the event. Traumatic events typically have huge $A$ (deep energy imprint).

• Phase ($\theta$): Represents the causal direction or emotional polarity of the event.

In your total life wave function $|{\Psi }_{life}⟩$, future evolution depends on the superposition of current intention $|I⟩$ and past memory $|M⟩$:

$$|{\Psi }_{total}⟩=|I⟩+|M⟩$$

Evolution efficiency depends on the interference term:

$$\text{Power}\propto |||I⟩+|M⟩|{|}^2=A_I^2+A_M^2+2A_I{A}_M\cos ({\theta }_I-{\theta }_M)$$

F.2 Trauma as Anti-phase Damping

What is “Trauma”?

Trauma is a high-weight memory with phase angle opposite to future intention ($\Delta \theta \approx \pi$).

• Your Intention ($|I⟩$): I want happiness/success/forward progress.

• Traumatic Memory ($|M⟩$): “I am a victim/I failed.” Its phase points to “backward.”

Interference Result: $\cos (\pi )=-1$.

$$\text{Power}\approx (A_I-A_M{)}^2$$

Destructive Interference occurs.

Past memory physically cancels your current efforts. You feel stuck not because you don’t try, but because you carry a huge, backward-dragging wave function. This is the physical essence of internal friction.

F.3 The Operator of Interpretation: Rotating Phase

How to solve this? We cannot make $A_M\to 0$ (hard to forget major events).

We must change the phase (${\theta }_M$).

This is the function of “Narrative”.

Narrative is not describing facts; narrative is a unitary operator ${\hat{U}}_{narrative}$. It acts on the memory vector, rotating it.

Operation Example:

• Old Narrative: “That failure proved I’m incompetent.” $\to$ Phase locked in headwind.

• Execute Operator $\hat{U}$ (Reconstruction): “That failure was necessary preparation for me to learn this key skill, preparing for today’s success.”

• New Narrative: “That was training.” $\to$ Phase rotated $180^{\circ }$, locked in tailwind.

Interference Result: $\cos (0)=1$.

$$\text{Power}\approx (A_I+A_M{)}^2$$

Constructive Interference occurs.

The huge energy $A_M$ that originally blocked you instantly becomes a huge kinetic thrust.

This is the physics of “turning waste into treasure.” You not only eliminated resistance but also gained a powerful booster.

F.4 Thermodynamics of Forgiveness

Why are “letting go” and “forgiveness” so difficult?

Because rotating a large-mass vector requires work.

The larger the memory’s magnitude $A$ (the deeper the trauma), the greater its moment of inertia.

To forcibly reverse its phase (from hate to love, from regret to acceptance) requires consuming enormous $c_{FS}$ computational budget.

• Resentment: Is a low-energy state. Gliding along inertia, no work needed, but entropy increases extremely fast (system decays).

• Forgiveness: Is a high-energy excited state. Requires instant injection of huge cognitive energy (insight/love), but this reduces the system’s total entropy (system reorganization).

Conclusion:

Narrative engineering is the highest-level negative entropy engineering.

A person who can freely rewrite the meaning of the past is an advanced observer who has mastered timeline phase modulation technology.

They are no longer defined by history; they use history as fuel to define the future.

F.5 Berry Phase: Geometric Compensation of Narrative

In the main text, we mentioned that observers can rotate the phase of memory vectors through “rewriting.” This geometrically corresponds to an extremely profound concept in quantum mechanics—the accumulation of Berry Phase.

In classical mechanics, if a system returns to its starting point, it should appear completely restored. But in quantum mechanics, if the system’s Hamiltonian parameters evolve slowly along a closed loop in parameter space, when it returns to the starting point, in addition to the usual Dynamic Phase accumulated over time, it also gains an additional Geometric Phase that depends only on the geometric shape of the path—the Berry phase.

Its mathematical expression is:

$$\gamma ={\oint }_C\mathcal{A}\cdot d\mathbf{R}$$

where $\mathcal{A}$ is the Berry connection (similar to a curvature potential), and $C$ is the closed path we traverse in parameter space.

Physical Mapping of Life’s Meaning:

• Dynamic Phase (${\Phi }_{dynamic}=\int Edt$):

  This is the physical time you actually experienced, the suffering you endured, the hardships you faced. It is “hard,” determined by the physical facts of $v_{ext}$.

• Geometric Phase (${\Phi }_{geometric}=\gamma$):

  This is your “change in cognitive perspective” toward these experiences. It is “soft,” determined by the narrative path of $v_{int}$.

Compensation Mechanism of Closed Loops:

In the previous section, we mentioned that to form stable standing waves (authenticity of existence), the total phase change of the wave function must satisfy the closure condition $\Delta {\Phi }_{total}=2n\pi$.

If your dynamic phase accumulation is insufficient (for example: suffering seems meaningless, or the experience is incomplete, causing the phase to only rotate $1.5\pi$), your life wave function is not closed, which leads to internal friction and leakage of sense of existence.

At this point, as an administrator, you can compensate by “circling once in cognitive space”.

You don’t need to change past facts; you only need to change the “stereoscopic angle” from which you observe the facts.

When you slowly evolve from “victim perspective” to “observer perspective,” then to “creator perspective,” and finally return to the origin of memory, your consciousness draws a huge circle in parameter space.

The “curvature” enclosed by this circle contributes the missing $0.5\pi$ Berry phase.

Corrected Total Phase Equation:

$$\Delta {\Phi }_{total}=\underset{\text{Experience (Dynamic)}}{\underbrace{\int \frac{E}{\hslash }dt}}+\underset{\text{Awakening (Geometric)}}{\underbrace{\oint \mathcal{A}\cdot d\mathbf{R}}}=2n\pi$$

Conclusion:

Narrative engineering is essentially a geometric technique that uses Berry phase to repair causal closed loops.

The reason you cannot let go is often not because time (dynamics) is not long enough, but because your cognitive path toward trauma is “straight” (back-and-forth motion produces no area, $\gamma =0$).

You must circle around it.

As long as your cognition rotates deeply enough and encloses a large enough area, you can create that extra phase out of nothing, allowing a fractured life to close seamlessly in higher dimensions.