Why the brain-recording evidence is mostly missing
If you go looking for EEG or MEG studies of unconscious creative problem solving, the honest answer is that the studies closest to this question measured behavior, not electricity. One study on unconscious "prototype heuristics" in scientific innovation problems compared conscious and unconscious conditions using behavioral experiments only, with no electrophysiological methods [1]. Another tested how multiple unconscious stimuli get combined during creative problem solving using masked priming and a Chinese remote associates test, again behaviorally [2]. A third examined biases in how subliminal stimuli are selected, also with masked priming and a remote association task [3].
This matters for interpreting the question. Electrophysiology would let researchers watch processing unfold millisecond by millisecond, before a person could report anything. The available studies instead infer unconscious processing from how masked, invisible-to-awareness cues change later answers. That is a legitimate window into unconscious processing, but it is an indirect one: it shows an effect on performance, not the neural sequence producing it.
Unconscious cues help on hard problems and can backfire on easy ones
The most consistent behavioral pattern is that unconsciously presented information can be semantically combined and then influence creative answers. In one set of experiments, three masked Chinese characters were shown at once during a remote associates task, and the first and third could be combined to form the answer; in a harder version, two masked two-character words each contained part of the answer and had to be split and re-integrated. In both cases the unconscious stimuli produced a priming effect on creative performance [2]. That is evidence that meaning from stimuli people never consciously saw can be merged and used, which the authors describe as semantic integration between unconsciously perceived stimuli [2].
The direction of the effect depends on difficulty. The same study found a positive priming effect on difficult remote associates items but a negative priming effect on easy ones [2]. A separate study reached a compatible conclusion: unconscious processing of subliminal stimuli enhanced performance on difficult creative problem solving [3]. A plausible reading is that when a problem is hard, an unconscious hint adds useful information; when the problem is easy, the hint may compete with or distract from a solution the person would otherwise reach smoothly. That interpretation is a proposal, not something these behavioral designs establish.
Brain activity enters these accounts as a hypothesis, not a measurement
Some work treats unconscious processing as part of a larger cycle of creative problem solving. One framework maps principles for harnessing unconscious processes onto recurring phases of creative problem solving, including unconscious ideation, and describes the cycle as following the natural progression of brain activity [4]. That is a proposed model of how brain activity might unfold, evaluated with psychometric assessments rather than recordings, so it does not supply electrophysiological evidence.
A related line of work hypothesizes a role for automatic, Type-1 processing in creative insight and asks whether resting brain activity differs in people high in ADHD symptoms, including hemispheric asymmetries [5]. Again, the study relies on self-report and behavioral tasks rather than electrophysiology, so the brain-activity piece remains a hypothesis about a predisposition, not a recorded signature of unconscious processing during a creative task.
Put together, the honest summary is that behavioral priming studies give reasonably consistent evidence that unconscious information can be integrated and can shift creative performance, especially on difficult problems [2][3], while the electrophysiological account of how that happens is still something these papers point toward rather than demonstrate [4][5].
Sources used in this answer
Unconscious processing of prototype heuristics in scientific innovation problem-solving
Unconscious processing at different levels was examined in scientific innovation problem solving using behavioral experiments, without electrophysiological methods.
The Semantic Integration of Multiple Unconscious Stimuli in Creative Problem‐Solving
Multiple unconsciously presented stimuli were semantically integrated and primed creative performance, with positive priming on difficult remote associates items and negative priming on easy ones.
The Unconscious Tug-of-War: Exploring the Effect of Stimulus Selection Bias on Creative Problem Solving with Multiple Unconscious Stimuli
Unconscious processing improved performance on difficult creative problems and showed biases toward left-side and more recently presented subliminal stimuli.
Fostering Creative Thinking Skills Through the Unconscious: A Novel Approach
A framework maps principles for harnessing unconscious processes onto phases of creative problem solving, evaluated with psychometric rather than electrophysiological measures.
ADHD symptom magnitude predicts creative problem-solving performance and insight versus analysis solving modes
ADHD symptom magnitude was related to creative problem-solving mode, with a hypothesized role for automatic Type-1 processing, using self-report and behavioral tasks rather than electrophysiology.
