The Absolute Act – Arxe Theory

Ontology of the Delocalized Present

Executive Summary

Central thesis of ArXe:

The universe is not a “movie unfolding in time” nor a “space that contains events.” It is a network of absolute acts that resolve contradiction, where the present is not localized but rather jumps between positions, generating what we experience as space, time, and causality.

1. The Absolute Act: Precise Definition

1.1 What the Absolute Act IS

Definition:
The absolute act is the instantaneous resolution of the fundamental contradiction (T⁰), which:

Has no duration (it is not a “moment in time”)
Has no fixed location (it is not a “point in space”)
IS the present in the ontological sense (the “now” where the real is decided)

Ontological clarification:

The Absolute Act does not exist in the ordinary ontological sense.
It IS. Its status is one of essence, not existence.
This distinction is developed elsewhere; here it is enough to note that IS is not being used as a synonym for exists.

Initial analogy:
Like the collapse of the wave function in quantum mechanics, but fundamental and generative of everything else.

1.2 What It Is NOT

❌ It is NOT a point in spacetime

(t, x, y, z) ← this is a coordinate, the act is NOT this

❌ It is NOT a “moment of universal time”

There is NO "timeline" t₀ → t₁ → t₂
with a "now" moving along it

❌ It is NOT subjective or mental

It does NOT depend on a conscious observer
It IS ontological (structure of being)

✅ IT IS:

The logical event of the actualization of the real
The transition from potential → actual
The point where the universe “resolves” what exists
Delocalized: it occurs “somewhere,” but that place jumps

2. The Delocalization of the Present

2.1 The Problem with Standard Simultaneity

Classical physics says:

There is a simultaneous "now" throughout space:

t = t₀: [========= PRESENT =========]
        (the whole universe at the same time)

Relativity says:

There is NO absolute simultaneity:

Observer A: [=== their present ===]
Observer B:     [=== their present ===]
                  ↑
               They do not coincide

ArXe says something deeper:

The present is absolutely
BUT not as a "spatial slice"
Rather as a PUNCTUAL ACT that jumps:

Act₁ (occurs here)
  ↓
Act₂ (occurs there)  ← JUMPS position
  ↓
Act₃ (occurs over there)

2.2 Why Everything Observed Is the Past

Fundamental observation:

When I observe something at distance d:

Light takes time d/c to arrive
Therefore, I see the object as it was in the past
Even at 1 meter: I see the object 3 nanoseconds in the past

Even the “simultaneous” is past:

Event in Andromeda "now" (for me)
= Event that occurred 2.5 million years ago
= Deep past

There is NO way to access the "absolute now" of Andromeda

Ontological consequence:

The only thing that is absolutely present is:
THE ACT THAT IS OCCURRING

Not necessarily "here"
But rather "at the current vertex of the network of acts"

2.3 The Delocalized Pulse

Correct image:

Network of possible events:
        A
       / 
      B   C
     /  / 
    D  E F  G

At moment 1: the absolute act is at A
At moment 2: it can jump to B or C (decides)
At moment 3: it jumps to E (for example)
At moment 4: it jumps to G (far from E)

The present "pulses" through the network
It does not flow linearly
It is not uniformly distributed

Properties of the pulse:

Non-locality: The act is not “here” or “there,” it is “at the active vertex”
Jump: It can occur at A and then at C without passing through B
Globality: When it occurs, it actualizes the ENTIRE configuration
Irreversibility: Once resolved, it generates a definitive past

3. Consequences for Space and Time

3.1 Time = Sequence of Acts

Time is NOT:

A preexisting dimension
A continuous flow
An independent variable t

Time IS:

The sequence of absolute acts:
A₁ → A₂ → A₃ → A₄ → ...

Δt = "distance" between two acts
t_Planck = minimum duration (one act)

Characteristics:

Discrete: Acts are countable (not infinitesimal)
Emergent: Time arises from counting acts
Directional: Acts generate an irreversible past

3.2 Space = Separation Between Possible Acts

Space is NOT:

A preexisting empty container
A “stage” where things happen
A fundamental geometric metric

Space IS:

The structure of possible locations of the absolute act:

If the act can be at A or at B:
→ A and B are "spatially separated"

Distance = how many intermediate acts are needed
           to go from A to B

Example:

A ←→ B (1 possible jump)
A ←→ C (3 jumps needed)

→ C is "farther" than B
→ Distance = number of intermediate acts

Speed of light:

c = maximum propagation rate of the absolute act

It is not "speed in space"
It is "rate of actualization of the network"

3.3 Objects = Coherent Accumulations

A persistent object (e.g., an electron) is NOT:

A “thing” that is continuously
A substantial entity

An object IS:

A region where absolute acts occur repeatedly
in a coherent way:

t₁: act in region R → configures state S₁
t₂: act in region R → configures state S₂ (coherent with S₁)
t₃: act in region R → configures state S₃ (coherent with S₂)
...

Object = coherent pattern of acts in a region

That is why:

Objects have mass (T³): stable accumulation in 3D
Objects have identity: the pattern is maintained
Objects can move: the pattern changes region

4. Revised Causality

4.1 Causality Is NOT Temporal

Standard view (incorrect):

A causes B if A occurs before B in time

Problem:
In relativity, “before” depends on the observer. How can this be causal?

ArXe view:

A causes B if:
A is the absolute act that determines the configuration
from which B emerges as the next absolute act

Causality = logical order of acts
NOT chronological temporal order

4.2 Causal Structure

Causal relation:

Act A causes Act B if:
1. A generates configuration C
2. B emerges from C as its resolution
3. A is in the logical past cone of B

This does NOT require that A be "earlier in universal time"
Only that B be the logical consequence of A

Example:

A₁ (emission of a photon at the Sun)
  ↓
  8 minutes (propagation)
  ↓
A₂ (absorption on Earth)

A₁ causes A₂ because:
- A₁ generates the state "photon en route"
- A₂ resolves that state
- Logical order: A₁ → A₂

NOT because "A₁ was earlier in absolute time"
But because A₂ is a consequence of A₁

4.3 Non-locality and Entanglement

Quantum entanglement:

Two entangled particles A and B, separated

Measurement at A instantly collapses B

How is this possible without violating c?

ArXe’s explanation:

The measurement at A IS an absolute act

The absolute act:
- Is NOT localized only at A
- Actualizes the configuration GLOBALLY
- Includes B regardless of distance

It is NOT a "signal traveling from A to B"
It IS "global resolution of the state"

The act is fundamentally non-local

Consequence:

There is no EPR paradox
The absolute act resolves A and B simultaneously
Because the act is NOT at A nor at B
It is at the logical vertex that includes them

5. Relationship to Known Physics

5.1 Special Relativity

Einstein: There is no absolute simultaneity

ArXe: Correct, but for a different reason

NOT because "time is relative"
But because the absolute act is delocalized

Two observers in relative motion:
- Do not disagree about "what is simultaneous"
- Disagree about "where the last act occurred"

Relativity = ambiguity about which act was the last

Lorentz transformations:

They do NOT change "coordinates in spacetime"
They change the "observer's frame of reference"
= they change which acts the observer sees as "their recent past"

5.2 Quantum Mechanics

Collapse of the wave function = absolute act

Before measurement: superposition (potential)
Measurement: collapse (absolute act)
After: defined state (actual)

The collapse IS the act
It has no duration (instantaneous)
It has no locality (affects globally)

Interpretations of QM — a note on status:

The following is a statement of conceptual affinity between ArXe and existing interpretations of quantum mechanics, not a physical result. Copenhagen and Many-Worlds are empirically equivalent interpretations — no current experiment, including Bell tests, distinguishes between them (Bell tests rule out local hidden-variable theories; they do not decide between interpretations of collapse). That ArXe aligns better with one than the other is a fact about conceptual fit between two frameworks, not a confirmation that either interpretation is correct.

Copenhagen: collapse is real
→ Conceptually closer to ArXe (collapse ~ act)

Many-Worlds: there is no collapse
→ Conceptually in tension with ArXe (denies the act)

De Broglie-Bohm: hidden variables
→ Partially compatible (admits actualization)

5.3 Gravity and Spacetime

General Relativity: Spacetime is dynamic

ArXe:

Spacetime is NOT a substance
It is the STRUCTURE of possible acts

Curvature = non-uniform distribution of possible acts
Gravity = tendency of acts to occur in certain regions

Mass curves space because:
Mass = accumulation of acts in a region
→ Modifies the probability of future acts there
→ "Attracts" new acts
→ This IS gravity

6. Predictions and Verifications

6.1 Fundamental Granularity

Prediction:

Space and time are discrete at the Planck scale

NOT because "they are geometrically quantized"
But because acts are discrete (countable)

l_Planck = spatial resolution of the act
t_Planck = duration of an act

Testable:

Lorentz violations at Planck energy
Discrete structure in quantum gravity
Limits on information per region

Note: this prediction is not exclusive to ArXe — it is shared by other quantum-gravity programs built on discrete structures (loop quantum gravity, causal set theory, among others). Its value lies in ArXe also deriving it, not in it distinguishing ArXe from alternative approaches.

6.2 Holography

Status: consistent with established results, not a prediction.

Maximum information in a region = horizon area / l_p²

NOT because "information lives on the surface"
But because acts occur at network vertices
And the number of vertices ∝ horizon area

This reproduces, rather than predicts, results established decades before ArXe: black hole entropy (Bekenstein 1973, Phys. Rev. D 7, 2333; Hawking 1975, Commun. Math. Phys. 43, 199) and the holographic principle (‘, Hooft 1993; Susskind 1995), formalized in the AdS/CFT correspondence (Maldacena 1997). ArXe’s vertex-counting picture is consistent with this established proportionality — it is not a novel prediction that ArXe reached first.

Already established (not verification of ArXe, but the source ArXe is consistent with):

Black hole entropy (Bekenstein-Hawking, 1973/1975)
Holographic principle and AdS/CFT (1993/1995/1997)

6.3 Entanglement Without Paradox

Status: consistent with established results, not a prediction.

Entanglement is non-local but NOT superluminal

It does NOT violate relativity because:
- It does NOT transmit usable information
- It IS the global resolution of the act
- It respects causal structure (logical A→B)

The no-communication theorem and the non-signaling character of entanglement are standard, established results of quantum mechanics, confirmed experimentally by Bell (1964) and Aspect (1982) — decades before ArXe. ArXe does not predict this; it inherits it, as any framework aiming for compatibility with already-confirmed quantum mechanics must.

Already established (not verification of ArXe, but the source ArXe is consistent with):

EPR experiments and Bell inequality violations (Bell 1964, Aspect 1982)
No-communication theorem (standard result, respected by ArXe)

6.4 Cosmological Horizon

Status: an ontological interpretation, not a falsifiable prediction in the strict sense.

Beyond the observable horizon:
It really is in "another ontological present"

It is NOT just "not visible"
It IS "not yet actualized in our past"

The observable universe = region of past acts
accessible to our present

A claim about what occurs beyond the observable horizon is, by construction, not directly verifiable — nothing beyond it is accessible to any measurement, regardless of which theoretical framework is used to describe it. Calling this “testable” via large-scale structure or correlation limits overstates what falsifiability standards allow here. This is best presented as ArXe’s own ontological reading of the horizon, not as a prediction that could be confirmed or refuted.

7. Philosophical Implications

7.1 Present vs. Past vs. Future

PAST: Acts already resolved (definitive, immutable)
PRESENT: The act that is resolving (unique, delocalized)
FUTURE: Possible acts (potential, multiple)

Ontology:

Only the present IS absolutely
The past WAS (now it is memory/structure)
The future CAN BE (potentiality)

7.2 Determinism vs. Free Will

ArXe is not deterministic:

The absolute act is the RESOLUTION of a contradiction
NOT the computation of a predetermined equation

Each act genuinely decides
Among equiprobable (or weighted) potentialities

But it is not random either:

The act emerges from the previous configuration
It is conditioned (not absolutely free)
But not determined (not calculable a priori)

7.3 Realism vs. Idealism

ArXe is realist:

The absolute act is ONTOLOGICAL
It does not depend on a conscious observer
It is independently

But it rejects substantialism:

There is no persistent "substance"
Only a network of acts that generate the appearance of objects

8. Mathematical Formulation (Sketch)

8.1 Network of Acts

Configuration space:

Γ = set of possible configurations
A: Γ → Γ (act operator)

Absolute act:
A(γ₁) = γ₂

Where γ₁ is the previous configuration
      γ₂ is the subsequent configuration

8.2 Causal Structure

Partial order:

A₁ ≺ A₂ if A₁ is in the logical past cone of A₂

Properties:
- Reflexive: A ≺ A (trivial)
- Transitive: A ≺ B and B ≺ C → A ≺ C
- Antisymmetric: A ≺ B and B ≺ A → A = B
- NOT total: there exist incomparable A, B (spatially separated)

8.3 Distance, Not Yet a Derived Metric

Temporal distance:

d_t(A, B) = minimum number of acts between A and B

Spatial distance:

d_s(A, B) = number of acts needed to "jump" from A to B
           (if they are simultaneous)

Status of the Minkowski metric: open problem, not a derived result. Recovering ds² = c²dt² − dx² as a continuous limit of a discrete network is asserted here, not derived — no intermediate steps are given. This is not a minor gap to fill in later: recovering Lorentz invariance from a fundamentally discrete structure is one of the hardest, still-unresolved problems shared by discrete quantum-gravity programs. Causal set theory (Bombelli, Lee, Meyer, Sorkin, from 1987 on) has worked specifically on this problem for decades, with partial results, not a general solution. Stating that the metric “emerges” without showing how amounts to claiming as solved something that remains open across a whole related research program. See §10 for this listed explicitly as an open question.

9. Comparison with Other Ontologies

Block Universe (Eternalism)

Claim: Past, present, and future are all equally
ArXe: NO. Only the present is ontologically

Block: time is a dimension like space
ArXe: time emerges from a sequence of acts

Presentism

Claim: Only the present is
ArXe: CORRECT, but the present is not localized

Presentism: the present is a spatial slice
ArXe: the present is a delocalized act

Process Philosophy (Whitehead)

Claim: Reality is process, not substance
ArXe: SIMILAR, but more specific

Whitehead: events as "occasions of experience"
ArXe: acts as resolutions of contradiction

Causal Set Theory

Claim: Spacetime is a partially ordered set
ArXe: CLOSE, but different

Causal Sets: fundamental causal order
ArXe: absolute acts + network of possibilities

10. Open Questions

10.1 What Determines the Jump?

Why does the act occur "here" and not "there"?

Possible answers:
a) Probability weighted by the previous configuration
b) Principle of maximum local entropy
c) Minimization of "tension" in the network
d) Genuinely undetermined (ontological chance)

10.2 How Many Simultaneous Acts?

Does only a single act occur at a time in the whole universe?
Or multiple acts in disconnected regions?

If multiple: how are they coordinated?
If single: how does it explain quantum parallelism?

10.3 Macroscopic vs. Microscopic Acts?

Are there acts at all scales?
Or only at the Planck scale?

Is a radioactive decay an act?
Is a quantum measurement?
Is a neuronal decision?

10.4 Deriving the Minkowski Metric

Does the Minkowski metric (ds² = c²dt² - dx²) actually emerge
as a continuous limit of the discrete network of acts (§8.3)?

This is not yet shown, only asserted.
It is a special case of a general, unresolved problem shared
with causal set theory: recovering Lorentz invariance from a
fundamentally discrete structure.

11. Summary: The Ten Principles of the Absolute Act

Delocalization: The present is not at a point in space
Pulsation: The act jumps between positions in the network
Globality: Each act actualizes the entire configuration
Irreversibility: The act generates a definitive past
Emergence of time: Time is a sequence of acts
Emergence of space: Space is the separation between possible acts
Logical causality: Cause-effect is an order of acts, not a temporal order
Quantum non-locality: Entanglement is a global resolution
Fundamental discreteness: Acts are discrete (t_Planck, l_Planck)
Unique ontology: Only the present (the act) is absolutely

12. Conclusion

ArXe’s absolute act is neither an “interpretation” of physics nor a “philosophy about time.” It is an alternative ontology that:

Explains why we see space, time, and causality
Resolves paradoxes of quantum non-locality
Conceptually unifies quantum mechanics and relativity
Predicts fundamental granularity and holography
Is testable in principle (Lorentz violations, discrete structure)