Beyond Point-Like Spacetime: Why Physical Events Do Not Occur in an Instant
1. What may be established by this work
This work suggests that physical realization does not occur at a single point in time, but instead emerges within a finite temporal thickness.
Through the analysis of gravitational-wave data, a consistent temporal offset (Δt) is observed between the peak of execution density and the causal boundary (ΔK ≈ 0). This offset is not only nonzero, but tightly constrained within approximately 0–0.5 milliseconds across multiple events and detectors.
This result indicates that physical realization is not instantaneous, but distributed within an extremely thin yet finite temporal layer.
To illustrate, just as motion in film arises not from a single frame but from the accumulation of multiple frames, physical events may similarly require a finite temporal support in order to be realized.
Importantly, this ~0.5 ms scale is not arbitrary. It is consistently reproduced across independent observations, suggesting that it reflects an intrinsic structural property rather than an artifact.
2. How this differs from the standard view in physics
In conventional physics, events are assumed to occur at sharply defined instants within a continuous spacetime manifold.
The present results suggest two key departures from this view.
First, realization does not occur at a single instant, but over a finite temporal interval (Δt > 0).
Second, the causal boundary (ΔK ≈ 0) does not host realization itself. Instead, it defines a condition under which realization becomes possible. The actual realization occurs within a finite region surrounding this boundary.
This can be loosely compared to the start of a race: the starting signal does not itself constitute motion; rather, motion emerges immediately after, as the system responds.
Under this perspective, spacetime is no longer treated as a passive background, but as a response geometry selected under executable conditions.
3. Experimental basis (Red-Team validation)
A central strength of this result lies in its robustness under adversarial testing.
The analysis is conducted across multiple gravitational-wave events and independent detectors (H1 and L1), with Δt consistently confined within the sub-millisecond range (~0–0.5 ms).
Crucially, the study includes a series of Red-Team tests, designed to challenge the result using statistically equivalent surrogate datasets:
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Amplitude-preserving shuffled signals
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Gaussian white noise
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Autoregressive processes (AR(1))
These surrogates preserve key statistical properties of the original data.
However, the outcome is unambiguous.
Only the real observational data exhibit a sharply localized Δt distribution near zero, while all surrogate datasets produce broader and diffuse distributions.
Quantitative measures, including Kolmogorov–Smirnov statistics and Earth Mover’s Distance, confirm a clear separation between real and surrogate distributions.
These results demonstrate that the observed finite-thickness structure cannot be reduced to statistical fluctuations, noise, or weak temporal correlations. It constitutes a non-reducible structural observable.
4. Possible implications for future inquiry
If physical realization is fundamentally governed by a finite-thickness structure rather than point-like events, this may influence how physical processes are conceptualized.
The central question may shift from:
“When does an event occur?”
to:
“Within what geometric structure does realization take place?”
This perspective may also affect the interpretation of causality. Instead of being defined purely by temporal ordering, causality may emerge as a process selected within geometrically admissible regions.
Additionally, the results suggest that increasing observational resolution will not eliminate this finite thickness, but may instead reveal it as a persistent, resolution-constrained feature.
This work does not propose a direct modification of existing physical laws. Rather, it introduces a constraint on how physical realization can occur.
In this sense, it extends the focus of physics from dynamical evolution alone to the conditions under which realization becomes possible.
[Part II] Executable Geometry and Finite-Thickness Realization: A No-Go Theorem for Point-Based Spacetime
