Concept - The Superposition of Circumstances

Published by Óscar Preciado on August 23, 2025 in:
Philosophy, Literature, Science.

\hat{H} \Psi = E \Psi

Describes how quantum reality evolves and how the possible states of the universe are contained in a superposition of vectors.

\Psi = c_1 \Psi_1 + c_2 \Psi_2

A representation of superimposed states where $\Psi$ is the total quantum state. On the far left, $\Psi$ represents the complete state, but on the right it represents part of the states in superposition.

Furthermore, $c_1$ and $c_2$ are defined as coefficients. That is:

\frac{d C_x}{dx} \neq 0

where $C_x$ varies as a function of $x$ .

Which implies:

C_x = f(x)

So we could also say that:

\neg \text{Const}(C_x)

where it is explicitly indicated that $C$ is not a constant.

Definition

The fundamental state of existence is where the consciousness of the experimenter sits as the sole link between possibilities, decanted reality, and their individual perspective.

Considerations:

The subject is not a fixed entity, but a convergence of multiple potentialities.
Circumstances (events and derivations) exist in the field of the possible as non-isolated vectors.

Human freedom = capacity to collapse these circumstances through action.

That said, we have the following equation:

|\Psi\rangle = \sum_{i=1}^n \alpha_i |\phi_i\rangle

Where:

$|\Psi\rangle$ is the subject's current vital state.
$|\phi_i\rangle$ are the possible circumstances.
$\alpha_i \in \mathbb{C}$ are affinity coefficients relative to the circumstances and the subject (desire, fear, impulse, etc.) towards each circumstance.
$\sum |\alpha_i|^2 = 1$ represents the totality of the subject's projections (distribution of their emotional, rational, and social nature).

When a decision is made:

Decision ⇒ Collapse:

|\Psi\rangle \rightarrow |\phi_k\rangle

Life settles on a concrete circumstance.

Expression in philosophical logic

Propositional model:

Possibilities (◇) Necessities (□)

Let us define:

$C_i$ : Represents the possible circumstance.
$S$ : Subject.
$D(C_i)$ : Decision that collapses the state towards $C_i$ .

Expressions:

Superposition: ◇ $C_1$ ∧ ◇ $C_2$ ∧ … ∧ ◇ $C_n$ Each circumstance is possible.
Choice: $D(C_k) \Rightarrow □C_k$ , for $j \neq k$ . If the subject chooses $C_k$ , then the others cease to be possible.

Types of collapse

C = \{C_a \ (\text{Action}), \ C_o \ (\text{Omission}), \ C_i \ (\text{External imposition})\}

The subject $S$ always experiences an existential affectation $A$ as a result of the collapse:

C(|\Psi\rangle) \Rightarrow A(S, \phi_k)

Every form of collapse generates transformations in being, even if they do not act, choose, or understand.

So we can also define that:

C_x(|\Psi\rangle) \rightarrow \phi_i, \quad A(S, \phi_i), \quad x \in \{A,O,I\}

In existential reality, collapse by action, omission, or imposition actualizes a concrete circumstance and transforms the subject in the process.

Conclusion

Therefore, the global superposition of circumstances is expressed as:

|\Psi\rangle = \sum_{i=1}^n \alpha_i |\phi_i\rangle, \quad \text{with} \quad \sum_{i=1}^n |\alpha_i|^2 = 1

This links the fundamental expression with its internal condition of validity.

We can then understand time as a succession of possibilities that are evaluated through feasibility and finally concretized through the collapse of the favor function. This cycle, repeated, describes the existential sequence.

Conclusions:

• Time: It is a sequence of possibilities that are concretized through collapse. • Superposition: Circumstances remain as latent possibilities just before we experience them. • Collapse: Reality is defined through action, omission, or external imposition. • Transformation: Any form of collapse inevitably affects and transforms the subject.