Constraint, Construal, and Actualisation: A Relational Ontology — Chapter 9: The Illusion of Spacetime

9.1 Spacetime as Classical Assumption

Classical physics treats spacetime as:

• A neutral backdrop for events

• A container in which objects exist and move

• An arena in which forces and causation operate

This assumption is tightly bound to independence:

• Objects must exist independently to occupy positions in space

• Properties must exist independently to act across space

• Interactions require a stage external to all entities

Without independent entities, the classical notion of spacetime cannot be coherently defined.

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9.2 Spacetime in Relational Physics

Modern physics, especially relativity and quantum mechanics, shows:

• Distances, durations, and simultaneity are context-dependent

• Spacetime is defined by relations among events, not by an independent container

• The geometry of spacetime emerges from constraints among interacting systems

Formally:

$$g_{\mu \nu }\text{ (metric)}\approx \text{derived from relational structure of matter-energy distribution}$$

• No external grid exists

• “Position” is not intrinsic to an object; it is defined relationally

• “Time” is not a uniform flow; it is derived from the ordering of actualised constraints

Spacetime is therefore relational, not substantive.

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9.3 Collapse of the Container Model

If spacetime is a container:

• Events occupy independent coordinates

• Motion is measured relative to an absolute background

• Forces transmit along fixed paths

But independence is incoherent:

• There are no pre-existing entities to occupy coordinates

• No external frame exists to define order or distance

• Motion, forces, and interactions are constraints actualising relationally

Hence:

$$\text{Container spacetime}\equiv \text{conceptual illusion}$$

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9.4 Implications for Classical and Relativistic Physics

Even in general relativity:

• The Einstein field equations relate geometry to energy-momentum, not to a pre-existing stage

• Geometry is determined by relational distributions, not imposed externally

• The classical intuition of space as a container is misleading and conceptually unnecessary

Quantum field theory further reinforces relationality:

• Fields are defined across interactions, not within a container

• Observables are contextual, dependent on relational constraints

• Spacetime itself emerges as a bookkeeping structure for constraints, not as an independent entity

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9.5 The Conceptual Pivot

Spacetime is another conceptual pillar of classical reality:

• Classical mechanics assumes objects, properties, forces, and a container of spacetime

• Each pillar depends on independence

• With independence collapsed (Chapters 3–6), and forces shown to be parameters (Chapter 8), spacetime also fails as an independent construct

The entire classical edifice — entities moving through a stage, transmitting effects — is revealed as a projection of relational constraints.

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9.6 Tight Summary

1. Classical spacetime is a container for entities and interactions

2. Collapse of independence undermines the substrate for a container

3. Physics shows spacetime emerges relationally from constraints among events

4. Classical intuition of spacetime as an independent backdrop is an illusion

Chapter 10 will now address quantum paradoxes — wavefunction collapse, wave-particle duality, and randomness — showing that what appears mysterious arises from misinterpreting relational constraints as independent processes.