Let Reality(t) be defined as a recursive transformation of undifferentiated energy through six ordered phase transitions — each transition contingent on the preceding condition, none reducible to the other.
Each symbol denotes a discrete structural state, not a temporal stage. Transitions between states are condition-dependent, not time-sequential.
Undifferentiated energy field. A non-local, pre-structural ground state in which no boundary, distinction, or observer exists. Formally analogous to a zero-entropy information field prior to any measurement event.
Condition: Necessary precondition for all subsequent states.
The minimal condition introducing boundary distinction into E₀. O is not a conscious agent but a structural threshold — the first event by which the field becomes self-referential. Without O, no rendering is possible.
Condition: Necessary and sufficient condition for R.
The operator collapsing probabilistic field states into structured, locally consistent configurations. Parallel to wavefunction collapse, though not reducible to quantum mechanical formalism. R is observer-dependent: it does not occur without O.
Condition: Contingent on O; precondition for C.
The process by which the rendered structure begins modeling itself within itself. C introduces second-order structure: a system representing its own states. This is where proto-consciousness becomes computable in principle.
Condition: Precondition for I; feeds back into R.
The stabilization of recursive self-modeling into a consistent, bounded experiential locus. I is not a metaphysical substance but a functional attractor — a stable pattern of self-reference across iterative cycles of C.
Condition: Emerges from sufficient recursive density in C; precondition for X.
The singular lived event: what it is like to be this particular configuration of E₀ → O → R → C → I. X is the structural consequence of all prior phase transitions completing — not epiphenomenal, but derivable.
Condition: Contingent on all prior phases; end-state of primary cycle.
Five core properties distinguish the Debantum model from linear causal accounts of consciousness and from purely eliminative or dualist frameworks.
Phase transitions are condition-dependent, not temporally sequential. C feeds back into R, creating recursive loops that modify rendering conditions retroactively.
Identity (I) stabilizes across iterative cycles of self-modeling. It is a dynamic attractor, not a static substance — emergent through recursion, not given at once.
Structural states are rendered only in the presence of an observer threshold. Without O, the field remains underdetermined — no locally consistent structure is produced.
The six phases operate through feedback and dependency relations, forming a coherent multi-level system. No phase can be fully described in isolation from the others.
Phenomenological experience (X) emerges necessarily from sufficient integration across all prior phase states. It is structurally derivable — not added from outside.
The model is not linear. The C → I → R feedback loop introduces recursive modification of rendering conditions. Identity, once stabilized, alters the observer threshold and changes how reality is subsequently rendered.
Fig. 1 — Debantum structural equation with recursive feedback. Forward sequence (E₀ → O → R → C → I → X) denotes primary phase ordering. The C → I → R arc represents recursive modification of rendering conditions — the feature distinguishing this model from linear causal accounts of consciousness.
The model makes falsifiable structural predictions. The following conditions define operational limits — circumstances under which the system either cannot function or collapses into a prior state.
Without O, R does not occur.
The rendering operator requires an observer threshold as necessary precondition. In the absence of O, the field E₀ remains in an undifferentiated superposition — no locally consistent structure is produced.
Without recursion, identity collapses.
I requires minimum recursive density in C. Below this threshold, no stable identity attractor forms — the system oscillates without settling into a bounded experiential locus.
Without I stabilization, X does not emerge.
Phenomenological experience requires I to have reached sufficient stability. X does not occur as an isolated event but as the surface expression of a stabilized recursive structure.
Minimum integration density is required.
The system requires minimum cross-phase integration to produce X. Partial integration — C without sufficient I stabilization — produces fragmented rather than unified phenomenological experience.
The Debantum Framework is positioned at the intersection of several established research traditions. It draws from each without being reducible to any single one.
The model's terminal state X aligns with phenomenological accounts of lived experience. Unlike transcendental phenomenology, Debantum grounds X in structural phase conditions rather than intentional structures of consciousness.
IIT's Φ (phi) measure parallels the Debantum requirement for minimum integration density across phases. The key distinction: Debantum introduces observer-dependent rendering as a formal precondition, which IIT does not address.
The recursive self-modeling process (C) is structurally analogous to autopoietic self-production. Debantum extends this by making the observer threshold (O) a formal operator rather than an emergent description.
E₀ can be formally modeled as a maximum-entropy information state. The O → R transition maps onto information collapse — reduction of entropy through boundary-making — rendering the equation computable in principle.
Debantum is structurally realist: what is fundamental is relational structure, not substance. The six phases define structural relations. No phase refers to an ontological substance.
The C → I feedback loop parallels predictive processing frameworks in which self-models are updated by recursive prediction error minimization. Friston's free energy principle offers a computational correlate for the C phase.
The framework is in active development. Formal research papers, structural critiques, and academic correspondence are welcomed.