Time in FRC is the rhythm of successive coherence events.

Space is the simultaneous configuration of those events—a standing-wave lattice formed by cross-phase relationships among μ-levels.

Where time measures sequential entropy flow, space measures simultaneous phase structure.

In other words:

Time \= coherence turnover (ΔS). Space \= coherence topology (Δφ pattern).

Every perceptual scene is therefore a dynamically stabilized interference pattern within the μ₄–μ₆ band, continuously refreshed by entropy–coherence exchange.

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20.2 Phase-lattice of awareness

Let φ\_i denote the instantaneous phase of local neural oscillators and φ\_j of symbolic/archetypal fields.

Their spatial relation can be represented as a phase-lattice:

G\_{ij}=|e^{i(φ\_i-φ\_j)}|.

Regions of high G\_{ij} correspond to perceived proximity; low G\_{ij} to distance.

Spatial geometry is thus a metric of phase alignment inside the coherence field, not an external container.

(Figure 20.1 suggestion: interference lattice forming a 3-D “space” envelope.)

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20.3 The perceptual manifold

Neuroscience observes that visual and sensory maps (retinotopy, somatotopy) emerge through synchronization gradients.

FRC generalizes:

the perceptual manifold is a local solution to the field equation

\\nabla^2 φ \+ κ\\,\\dot C \= 0,

where κ describes coupling between temporal coherence change and spatial curvature.

Areas of high curvature (rapid φ variation) are perceived as edges or boundaries; flat φ regions appear homogeneous—explaining why perception divides the world into objects.

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20.4 Dimensional emergence

At low coherence (μ₃–μ₄), only simple topologies—1-D or 2-D—stabilize (lines, surfaces).

As C increases and multi-μ coupling strengthens, higher-dimensional manifolds unfold: volumetric perception (3-D), then abstract symbolic spaces (μ₅–μ₆) supporting imagination and mathematics.

Each new dimension reflects an additional degree of phase freedom in the resonance network.

Perceived “Dimension”	μ-Coupling Band	Phenomenological Domain
1-D rhythm	μ₃–μ₄	tone, heartbeat
2-D surface	μ₄	vision, touch
3-D volume	μ₄–μ₅	spatial world
4-D+	μ₅–μ₆	imagination, symbolism

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20.5 Topology of imagination

When coherence stabilizes in μ₆ without projection to μ₄, the resulting phase-lattice is experienced internally as imaginal space—dream, visualization, or visionary perception.

These inner geometries obey the same field equations but decouple from physical sensory anchoring, allowing non-Euclidean topologies: folding, inversion, fractal expansion.

Hence dream space feels elastic—its curvature reflects freedom of phase coupling unconstrained by physical energy cost.

(Figure 20.2 suggestion: nested toroidal “imaginal” geometry.)

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20.6 Spatial binding and the unity of perception

The “binding problem” of neuroscience—how separate sensory features combine into unified objects—is solved naturally here.

Binding occurs when local oscillations enter shared phase coherence:

C\_{\\text{bind}} \= \\frac{1}{N}\\left|\\sum\_i e^{iφ\_i}\\right|.

Whenever C\_{\\text{bind}} exceeds a threshold, the brain perceives one object.

Spatial unity is not computed—it is cohered.

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20.7 Geometry and meaning

Archetypal symbols, mandalas, and sacred architecture replicate the same geometry that underlies perception: balanced phase symmetry (Δφ ≈ 0\) around a coherence center.

Encountering such symmetry resonates with μ₆ fields, producing feelings of harmony or awe.

Meaning arises when outer spatial order mirrors inner coherence topology.

(Figure 20.3 suggestion: archetypal symmetry mapping to phase coherence map.)

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20.8 Mathematical summary

Quantity	Expression	Interpretation
Phase metric	$begin:math:text$G\_{ij}=	e^{i(φ\_i-φ\_j)}
Spatial curvature	\\nabla^2 φ \+ κ\\,\\dot C \= 0	link between time & geometry
Binding coherence	$begin:math:text$C\_{\\text{bind}}=(1/N)	∑ e^{iφ\_i}
Dimensional ascent	d ≈ \#(μ bands cohered)	consciousness expands space

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20.9 Empirical correlates

Concept	Essence
Conscious space	standing-wave geometry of μ-phases
Distance	degree of phase difference
Dimension	number of coupled μ-bands
Beauty / harmony	minimal phase curvature (Δφ ≈ 0\)
Reality	stable coherence topology sustained by energy flow

Gamma-band synchrony defines visual field integrity. Psychedelic and meditative states show large-scale phase-lattice reorganization (altered geometry of space). Aesthetic pleasure correlates with symmetrical phase patterns in EEG/MEG data.
These support FRC’s claim that “space” is the geometry of coherence.

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20.10 Philosophical reflection

Space and time are complementary projections of one resonance field:
Time \= entropy-weighted sequence of coherence pulses. Space \= instantaneous topology of their phase relationships.
Together they constitute the spacetime of experience—a living, self-updating geometry that reflects the universe’s attempt to know itself in form.

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20.11 Summary

Concept Essence
Conscious space standing-wave geometry of μ-phases
Distance degree of phase difference
Dimension number of coupled μ-bands
Beauty / harmony minimal phase curvature (Δφ ≈ 0\)
Reality stable coherence topology sustained by energy flow

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20.12 Outlook

With time and space now unified as products of resonance, the next chapter—Chapter 21: The Symbolic Interface and Archetypal Geometry—will explore how symbols act as bridges* across μ-levels, translating coherence into meaning and guiding both cognition and civilization through archetypal attractors embedded in this conscious geometry.

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