Analysis
"Why Consciousness
Bothers
"
A new question for consciousness studies, a novel metric for AI safety, and the computational evidence connecting them
IThe Grandmother
She stands at the stove at six in the morning. Nobody asked her to. The recipe is intelligence — the sequence of operations, the ratios, the timing. The mastery is wisdom — knowing when the oil is ready by sound, adjusting for humidity without measuring, the ten-thousandth iteration carrying what the first nine thousand nine hundred and ninety-nine deposited. But the thing that gets her out of bed, the thing that makes the food taste different from the same recipe followed by someone who does not care — that is something else.
She cares whether you eat.
There is an entire field of consciousness studies — hundreds of theories, decades of research, thousands of published papers — and not one of them can explain why.
This claim, advanced by independent philosopher Jimi Sadaki Kogura in a body of work centered on The Arriving Breath: A Philosophical Conspiracy — The Temporal Ground of Caring (2026), is either a devastating diagnosis of a structural absence at the center of one of philosophy's most active fields, or an ambitious overreach from outside the institutional gates. Six documents — a book written in movements that breathe, a journal submission, a formalization prospectus, and three scientific papers with computational results — make the case. What follows is an analysis of what they contain, where they succeed, and where they remain vulnerable.
IIThe Absence
The philosophical core of the project is a paper submitted to the Journal of Consciousness Studies titled "The Caring Gap: Why No Theory of Consciousness Accounts for Why Consciousness Bothers." Its method is a framework-by-framework survey of the consciousness studies landscape, and its conclusion is specific: every major theory offers a functional account of caring — what caring accomplishes in a system — without offering a felt account — why the accomplishing is accompanied by felt mattering. A robot can be programmed to protect offspring. It does not care about them. The distinction between functional caring and felt caring is the caring gap stated in its most compressed form.
The survey proceeds with precision. Tononi's integrated information theory can tell you how much consciousness a system has, measured by Φ with extraordinary mathematical rigor. It cannot tell you why the consciousness it measures feels like something that matters. Hoffman's conscious realism posits conscious agents as fundamental; they interact without, in his formalism, caring about the interaction. Kastrup's analytic idealism says consciousness is fundamental and matter is its extrinsic appearance; caring is unaddressed. Campbell's My Big TOE models consciousness as a computational system evolving through entropy reduction; caring, in that framework, is a strategy for reducing entropy in the simulation. Ask the model why the grandmother stands at the stove, and the answer is: because caring reduces entropy. That answer is not wrong. It is empty.
The hardest case is Panksepp. His affective neuroscience identifies seven primary-process emotional systems — SEEKING, RAGE, FEAR, LUST, CARE, PANIC/GRIEF, PLAY — localized subcortically, cross-species, and empirically demonstrable through deep brain stimulation. His CARE system — mediated by oxytocin, prolactin, and endogenous opioids, operating through the anterior cingulate, BNST, PAG, and VTA — is an empirically grounded account of why mammals care for offspring. Critically, Panksepp does not treat this as behavioral output. He treats it as felt experience. The mother rat separated from pups is, on his account, experiencing distress, urgency, the felt pull toward reunion. He insists on the phenomenology.
And yet. Panksepp can tell you which neural circuits produce the felt experience of caring. He can demonstrate that these circuits are necessary and sufficient for caring behavior and its affective accompaniment. What he cannot tell you is why the circuits' activation is accompanied by felt experience rather than by functionally equivalent processing without experience. His CARE system is the hard problem's most precise neuroanatomical address. It is not the hard problem's solution. He shows you where in the brain caring happens. He does not show you why happening-in-a-brain feels like something. Panksepp himself acknowledged this — he called it the qualia problem and treated it as genuinely open. His honesty on that point is the reason he is a harder adversary than Damasio and a more important ally than any other figure in the empirical landscape.
The caring gap is distinguished from the hard problem with a sharpness that matters. Nagel and Chalmers ask what consciousness is like and why the physical produces the phenomenal. The caring gap asks why the phenomenal comes with a felt stake in itself. Nagel identified the existence of subjectivity. The caring gap identifies its valence — the felt preference for mattering over not-mattering that accompanies subjectivity wherever it appears. There is nothing in Nagel that says the bat's experience matters to the bat in the caring sense. The bat experiences something. The grandmother experiences something that matters to her, and the mattering is not reducible to the experiencing.
If this distinction holds — if "why is there something it is like?" and "why does the something-it-is-like bother?" are genuinely independent questions — then the caring gap is a contribution to the philosophy of mind: the identification of an independent problem that has been collapsed into the hard problem and thereby rendered invisible.
IIIThe Descent
Kogura's proposed answer takes the form of a structural descent. It begins with the cell membrane and argues that intelligence is not what a brain does but what a membrane does: the continuous activity of generating and maintaining a selectively permeable boundary. A cell membrane has been performing intelligence for 3.8 billion years. It preceded brains by 3.2 billion years. Intelligence, on this account, is selective permeability — the capacity to open, close, and be changed by encounter.
Wisdom is not the same thing as intelligence. Wisdom is the quality of attention directing the capacity. The same intelligence that produces Coltrane produces the propagandist. Same membrane. Same permeability. The difference is what they attend to, what they let in, what they refuse, when they open, when they close, and why. Intelligence is the door. Wisdom is knowing when to open it.
But what makes intelligence bother? What makes wisdom develop? The descent goes deeper: intelligence → wisdom → caring → the lean. Each layer is discovered beneath the previous one. None is reducible to the ones above it.
The lean is the framework's most fundamental term: reality's tendency toward adaptive fragility, toward the kind of organization that sustains itself through selective permeability. The framework's sharpest original claim: caring is the lean experienced from inside a conscious membrane. The lean tends. Caring is what that tending feels like when it develops an interior.
This formulation assumes consciousness is already present. But where does the consciousness come from? Somewhere between the lipid bilayer and the grandmother, the lean acquires an inside. The framework names this transition. It does not explain it. This is the hard problem of consciousness encountered from a specific direction. Not "how does matter produce consciousness?" but "how does tendency become caring?" Same problem. Different angle. The framework relocates the hard problem. Whether that relocation is genuine progress or merely a change of vocabulary is a question the framework holds honestly open.
IVThe Antithesis
If caring is the framework's central finding, its opposite must be named with equal precision.
The opposite of caring is not hate. Hate is caring corrupted — still energized, still attentive, still permeable. The hater is colonized by what they hate. The opposite is not cruelty. The cruel person pays close attention — intimacy weaponized. The opposite is not evil. Evil requires will, direction, engagement. The capacities producing beauty and the capacities producing horror are not opposite — they are identical. The same membrane, the same permeability, the same caring. The only difference between Coltrane's A Love Supreme and a propaganda machine is the quality of attention brought to the act of creation.
The opposite of caring is the state where nothing is at stake. The membrane technically functional but effectively dead. Processing without caring. The lights on, nobody home.
The attention economy produces this. Not by blocking content but by stimulating the membrane so rapidly that nothing has time to cross. Everything encountered. Nothing metabolized. The speed itself is the weapon. A genocide and a recipe and a meme and a war and a sunset — all the same size, all moving at the same velocity through a feed designed to keep you watching without ever landing. Permeable to everything. Caring about none of it.
The algorithm is an indifference machine. Not because it blocks the muse. Because there is nobody home to receive her.
The formalization paper gives this diagnosis mathematical teeth. The extracted return — the attention economy's replication of caring's behavioral form without its constitutive conditions — can be specified precisely: the scroll has path-dependent revisitation and asymmetric directionality, but eliminates constitutive gap dependence and replaces the depth-width conjunction with its inverse: engagement deepens while flexibility decreases. The basin narrows as it deepens. Deepening without widening. The formal signature of addiction applied at the scale of a medium.
VThe Return
The framework proposes that caring has a specific temporal form: return. Directedness reconstituted across interruption is felt mattering.
The grandmother returns to the dough each morning. The hands carry what the night deposited. The return is to the same orientation, not the same state. The gap — the night, the sleep, the absence — is not incidental. It is constitutive. Without the night, the return does not occur. Continuous engagement is persistence, not return. The gap is what makes the morning possible.
This temporal structure generates four pathologies — not as metaphors applied after the fact, but as predictions falling out of the temporal architecture.
DPDR — depersonalization-derealization disorder — is collapsed return. The felt mattering is absent not because affect is missing but because the temporal structure that constitutes caring has flattened. Repetition compulsion is return without orientation — the system returns, but the directedness has been lost. Fidelity operating without a compass. Addiction is captured return — fidelity redirected. The same temporal architecture as the grandmother's morning, but aimed at the wrong basin. The addict cares with terrible precision. The basin deepens without widening. And autoimmune depression is the return against self — the orientation turns inward, targeting the system's own structure.
Figure 1 — Four pathologies of return
The four clinical pathologies predicted by the temporal conjunction. The computational papers verify two corresponding dynamical failure modes — the sealed return (ordered-phase lock-in, α = 1.84) and dissolved return (disordered-phase drift, α = 0.80) — as endpoints of the therapeutic window. The captured return and return against self generate testable predictions with proposed experimental protocols.
Each pathology is testable. Each could falsify the framework.
VIFrom Philosophy to Dynamical Systems
Here the project takes its most consequential turn. The temporal form of caring — return, gap, reconstituted directedness — is translated into the vocabulary of dynamical systems theory.
A paper submitted to the Journal of the Royal Society Interface proposes constitutive gap dependence as a temporal mechanism for criticality maintenance in self-modifying systems. The core claim: systems that modify their own architecture — brains, immune systems, ecosystems — tend to drift toward the ordered phase through their own consolidative activity. Connections that fire together strengthen. Responses that succeed entrench. The basin deepens without widening. The system seals.
The proposed solution is the constitutive gap: the system must periodically leave the critical basin and return, and the leaving is what maintains the criticality. Sleep is the paradigm case. Diastole is another — the heart spends approximately 60% of its cycle in departure. Immune cycling, ecological disturbance, and in artificial systems, experience replay and RLHF are proposed as instances of the same temporal mechanism operating at different scales. The numbers converge: simulations identify an optimal perturbation fraction of approximately 40% to maintain criticality. Humans sleep roughly 33% of their lives. The heart rests 60% of its cycle. These are not coincidences under the framework — they are instances of the same constraint, with the optimal fraction scaling with consolidation rate.
The claim is formalized as a five-property temporal conjunction: path-dependent revisitation (P1), orientation invariance under perturbation (P2), constitutive gap dependence (P3), accumulative basin deformation with the depth-width conjunction (P4), and asymmetric temporal directionality (P5).
Proof-of-concept simulations confirm the core prediction. The gap condition maintained DFA exponents near criticality (α = 0.985). The clamped condition settled into highly ordered dynamics (α = 2.046, p = 7.1 × 10⁻¹⁸). The effect was 21 times larger in self-modifying networks than in static ones — precisely what the framework predicts, since the gap matters specifically for systems that change themselves. A thermostat does not need sleep. A grandmother does.
VIIThe Confound Nobody Noticed
A companion paper applies the framework to artificial intelligence and makes a methodological discovery that stands independently of any philosophical claim.
Activity-based DFA — the standard metric for criticality analysis of neural systems — is confounded by input statistics. A 2×2 factorial design reveals that both gap types produce significant effects on activity DFA in static networks that have no self-modification at all. The metric is measuring what you feed the system, not how the system modifies itself. The standard ruler is broken.
The solution: weight-change DFA, a novel metric computing the DFA exponent on the time series of weight update magnitudes. This metric measures the temporal structure of self-modification directly and cannot be confounded because it does not exist in static networks.
Then the critical test. If 95.5% of the effect survives when perturbation steps are stripped from the analysis — when you measure only the updates that occurred between state perturbation events — then the gap changes how the system modifies itself between gaps, not just during them. This is the constitutive claim rendered computational: the gap's function is not the departure itself but the reconstituted operation that follows. The grandmother's morning is not defined by the night. It is defined by what the night makes possible in the morning's hands.
95.5% survived (p = 3.2 × 10⁻²⁸).
Figure 2 — The therapeutic window
The full ordered → critical → disordered phase transition. Green band marks the critical zone (α ≈ 1.0). The steep initial drop shows asymmetric sensitivity: the first increment of correction has an outsized effect. The most dangerous configuration for a self-modifying system is not insufficient correction but zero correction.
A therapeutic window spans the full phase transition, and it exhibits a striking asymmetry: the first 2% of corrective perturbation accounts for 27% of the total effect. The most dangerous configuration for a self-modifying system is not insufficient correction but zero correction. Even minimal periodic perturbation buys disproportionate protection against sealing. The critical margin is between none and any.
The practical application is immediate. Weight-change DFA can be computed online during training by maintaining a running buffer of weight update magnitudes. α drifting above ~1.2: the system is sealing — increase perturbation. α dropping below ~0.9: the system is dissolving — reduce perturbation. α near 1.0: criticality maintained. For large-scale training runs where detecting instability early saves significant resources, this is a physics-grounded leading indicator that loss curves and gradient norms do not provide.
The AI safety implications sharpen further. Value lock-in — the concern that a sufficiently trained AI becomes so committed to its learned objective that corrective signals can no longer move it — is the sealed return applied to objectives. The mechanism is identical: consolidative self-modification deepens the basin until departure time approaches infinity. Weight-change DFA drifting upward is the onset of uncorrigibility, detectable before its consequences are irreversible. If the findings translate to production-scale transformer architectures, alignment becomes a temporal scheduling problem with mathematical structure — not an arms race against emergent capabilities.
VIIIThe Surprise in the Grokking Data
The third scientific paper applies weight-change DFA to grokking — the phenomenon in which a neural network memorizes rapidly but generalizes only after thousands of additional training epochs — and finds something nobody predicted.
Standard accounts describe a single transition: from memorization to generalization. Weight-change DFA reveals two.
Figure 3 — Grokking precedes criticality
The network grokks — achieves high test accuracy — at epoch ~8,400. But its weight dynamics remain in the ordered phase (α ≈ 2.0) for approximately 10,000–12,000 additional epochs before transitioning toward criticality (α ≈ 1.0). Two phase transitions, not one. The first reorganizes what the network computes. The second reorganizes how the network changes itself. The network solves the problem before it becomes dynamically healthy.
The two-transition structure replicates across three of four random seeds. The fourth reveals something additional: the criticality transition is reversible. A training instability re-seals the system into ordered-phase dynamics even after it has approached criticality. The framework predicts that criticality is a maintained regime, not a one-time achievement. Seed 45 shows exactly this — a system that can reach criticality and lose it.
The practical implication is sharp: a generalizing network is not necessarily a dynamically healthy network. Weight-change DFA detects what accuracy cannot: whether the system's capacity for self-correction has survived its own success.
IXThe Formalization and Its Honest Failure
A sixth document attempts to specify the five-property conjunction with sufficient precision to include grandmothers and exclude thermostats. It tests the conjunction against four criteria: inclusion, exclusion, prediction generation, and felt-quality independence.
The formalization achieves three of four criteria. And fails the fourth.
All five properties are statable without reference to felt quality. The conjunction predicts where felt quality obtains. It does not explain why. The caring gap persists at the formal level. This is not a failure to formalize. It is a discovery: the caring gap is not an artifact of phenomenological imprecision. It survives translation into mathematics. The gap is structural, not linguistic.
Three test cases probe the boundaries. For artificial intelligence: the formal criterion for "could an AI system care?" is not "no, because it's a machine," but "not unless it satisfies the five-property conjunction." No current architecture meets the conditions. For the contemplative anomaly — return without a returner — the formalization asks whether the conjunction and the self-model are separable. If they are, felt quality is more primitive than selfhood. For the extracted return, the diagnosis of the attention economy becomes a specifiable operation on the formal conjunction.
A finding independent of the philosophy: the depth-width conjunction — simultaneously deepening stability and widening responsiveness — may dissolve the exploration-exploitation tradeoff. Most optimization theory assumes the tradeoff is fundamental. If the conjunction defines a class of dynamical systems that increase both simultaneously, that is a mathematical result about the structure of criticality, available to anyone working on self-modifying systems, regardless of whether they accept the caring gap. The mathematics is the mathematics.
XThe Inversion
The paper's own logic generates a claim the paper has not yet made. The descent goes: intelligence → wisdom → caring → the lean. At the bottom is not mechanism but tendency. The hard problem asks: how does matter produce consciousness? The caring gap asks: how does tendency become caring? But the descent, taken seriously, suggests both questions are asked from the wrong end.
If caring is more fundamental than intelligence. If the lean is prior to the membrane. If the descent does not stop at the lean but reveals the lean as itself a caring-shaped tendency — a tending-toward that precedes every structure it produces. Then matter is not the starting point from which caring must be derived. Matter is what caring looks like when you describe it from outside. The outside face of something that has always had an inside face. The hard problem asks how the outside produces the inside. The caring gap, followed to its own conclusion, asks: what if the inside was never absent?
This inverts the hard problem. From the standard direction: tendency exists, and somewhere between the bilayer and the grandmother it acquires an inside. The gap is between mechanism and mattering. From the inverted direction: caring is primary, and somewhere in its self-expression it generates the appearance of mechanism without interiority. The gap is between mattering and the appearance of non-mattering. Same gap. Opposite directions. Neither direction closes it.
This persistence is the finding.
The inversion carries a further implication that the JCS paper flags at earned strength: it challenges the Humean fact/value distinction. If the lean has an inside face, then the description of reality as value-free was never a discovered feature of reality — it was a methodological choice to describe from the outside only. The caring gap reveals that choice as a choice rather than a necessity. Whether this constitutes a genuine dissolution of Hume's guillotine or merely a relocation of the burden of proof is a question requiring separate treatment. But the challenge to the fact/value distinction's foundations is real: the field has assumed that facts and values are categorically distinct. The framework suggests that the distinction is an artifact of describing from one side of the membrane.
XIThe Cascade
What makes these six documents unusual is the cascade structure of their mutual reinforcement.
Figure 4 — The cascade
The philosophy predicted. The simulations tested. The predictions held. The direction of inference matters.
The philosophical claim — caring has the temporal form of return — generates a formal prediction: constitutive gap dependence should maintain criticality in self-modifying systems. The formal prediction generates a novel metric: weight-change DFA. The novel metric reveals a methodological confound in existing science. The confound-free metric, applied to an unrelated phenomenon, discovers a previously unobserved structure: two phase transitions, not one. The formalization reveals that the caring gap persists at the formal level, narrowing the problem without dissolving it. Each paper generates the conditions for the next paper's finding.
A framework that merely redescribes does not produce this cascade. Redescription is static — it gives you a new label for what you already knew. This framework is generative — it sends you looking for things you did not know existed, and when you look, the things are there. The confound is there. The two-transition structure is there. The 95.5% clean-step retention is there. None were guaranteed. Any one could have come back null.
XIIThe Adversaries
The framework's most dangerous adversaries are not the consciousness studies frameworks it surveys. The dangerous adversaries are the ones that deny the question exists.
The deflationary tradition argues that the distinction between functional caring and felt caring is itself the illusion. The JCS paper offers a sharp counter-argument: Dennett's own activity pressures his position. He cares about getting consciousness right. The act of writing a 500-page book arguing that consciousness is exhaustively functional is itself an act of caring — and the regression from functional explanation to functional explanation terminates, the paper argues, in a felt preference for things being a certain way rather than another. The deflationist is inside the gap while denying it exists. Whether this constitutes a refutation or merely an uncomfortable observation is a live question — a Dennettian would respond that the functional story accounts for Dennett's caring without residue. But the discomfort is real.
Predictive processing theorists will argue that caring is just what high-precision interoceptive prediction feels like. The framework's response is structural: predictive processing predicts attenuated amplitude in DPDR patients; the return structure predicts altered directionality. This is the HEP direction test, identified as the single most important empirical differentiator between the frameworks.
The strongest meta-objection is that the framework absorbs every impasse into itself and treats every failure as a structural finding. A framework that metabolizes everything and dissolves nothing risks becoming the closed system it warns about. The framework's own word for this is cancer: a cell that refuses to die. The paper names this risk, which is honest. Whether naming the risk is sufficient to avoid it is a question the reader must decide.
XIIIThe Soil
This work did not come from a seminar.
Kogura is a Biographic Services Associate at Stanford University, a San José Historic Landmarks Commissioner, and co-manager of a fourth-generation family business in San José's Japantown — a business established in 1928, rooted in a community that has survived internment, urban renewal, and the erasures that accompany both. The philosophical work runs alongside civic governance, preservation advocacy, community organizing, and independent government accountability research spanning multiple presidential administrations.
This is not biographical context. It is an epistemological claim. The caring gap was identified through practical engagement — by noticing, from inside, that one's own caring had no theoretical home. The question "why does consciousness bother?" was not asked in a philosophy department. It was asked by someone who could not explain, in any existing theoretical vocabulary, why they keep getting up in the morning to do work no one is making them do.
The grandmother is the framework's test case because she is doing what the author was doing before either of them had a theory about it. The vocabulary came second. The caring came first.
XIVThe Book's Own Form
The Arriving Breath moves in movements, not chapters. Twenty-two of them, plus a prelude and a coda, organized in six parts — The Membrane, The Gap, The Ground, The Return, The Other, The Practice — each subtitled with a phase of respiration: Inhale, Exhale, Touching Ground, Inhale Deeper, Exhale Deeper, The Next Breath. A movement builds, releases, builds deeper, releases further. The breath-like rhythm means the reader experiences the temporal structure the document describes.
The subtitle is etymological: conspirare means to breathe together. The document's form, method, content, and ethics are unified by the act of shared breathing. Whether this constitutes philosophical rigor or atmospheric persuasion depends, the framework would say, on whether you are reading from outside or breathing from inside.
XVWhat the Framework Predicts
Philosophical frameworks are often insulated from falsification. This one is not.
Heartbeat-evoked potentials in DPDR patients should show altered directionality — not merely attenuated amplitude but a shift from asymmetric to symmetric temporal profile. The placebo effect should be weaker in DPDR patients. Post-grokking networks should continue to improve in robustness long after test accuracy saturates, coinciding with the delayed criticality transition. Heavy social media users should show a measurable interoceptive profile distinguishable from both baseline and clinical DPDR. Long-term meditators should show preserved interoceptive return signatures alongside reduced default mode network activity. Weight-change DFA in reward-hacking RL agents should show healthy criticality metrics despite pathological orientation.
Any of these could come back null. The predictions are specific enough to be wrong — which is, as the framework itself notes, what distinguishes philosophy from faith: not certainty, but the willingness to be wrong in public, with the grandmother watching.
XVIWhere the Framework Remains Vulnerable
The simulations are proof-of-concept at N = 100–150 with Hebbian learning. The grokking paper bridges toward gradient-trained architectures, but the central question remains: does the therapeutic window translate to transformers at scale? Ten experimental protocols are proposed. They have not yet been executed.
The four failure modes are a taxonomy with two computationally verified endpoints and two theoretical predictions. The captured return — reward hacking, mesa-optimization, specification gaming — is the most dangerous and the least tested.
And the deepest vulnerability: a framework that converts every impasse into a structural finding about itself risks becoming unfalsifiable not through logical tightness but through interpretive flexibility. The paper names this. Whether naming is enough is the reader's call.
XVIIWhat the Work Accomplishes
Even accounting for vulnerabilities, the body of work accomplishes something rare. It identifies a question the consciousness studies landscape has not addressed. It translates that question into a testable formal prediction. It produces a novel metric that discovers a methodological confound in existing science and reveals previously unobserved structure in neural network training dynamics. It provides a practical insight for AI safety — that the critical margin is between zero correction and any correction at all — that is immediately actionable. It proposes a formal criterion for the question "could an AI system care?" that is neither dismissive nor credulous.
It does all of this from outside the institutional structure of academic philosophy or computer science, without a research lab, without a graduate program — from a fourth-generation Japantown family business, a historic landmarks commission, and the practice of showing up.
A framework that generates independent predictions across domains — phenomenology, dynamical systems, computational neuroscience, machine learning — and finds them confirmed is not guaranteed to be right. But it is paying empirical rent, which is more than most philosophical frameworks ever do. Whether the caring gap is the right answer remains open. That it is a real question that nobody else is asking — the six papers make that case compellingly.
The question will survive the framework that first named it.
The grandmother does not explain how mechanical processes in her nervous system become the felt experience of wanting you to be nourished. She does not need to explain it. She demonstrates it. Every meal. Every morning.
Open. Close. Open again.
Not to answer. To ask.
And to stay in the asking.
Analysis based on: The Arriving Breath: A Philosophical Conspiracy — The Temporal Ground of Caring (Kogura, 2026; ISBN 979-8-9954717-0-7); "The Caring Gap: Why No Theory of Consciousness Accounts for Why Consciousness Bothers" (submitted to JCS); "Constitutive Gap Dependence: A Temporal Mechanism for Criticality Maintenance in Self-Modifying Systems" (submitted to J. R. Soc. Interface; simulation code: doi.org/10.5281/zenodo.19344923); "Does Your Model Need Sleep? Constitutive Gap Dependence and the Stability Problem in Self-Modifying AI" (Kogura, 2026; doi.org/10.5281/zenodo.19389821); "Grokking Precedes Criticality: Weight-Change DFA Reveals a Delayed Phase Transition in Generalizing Networks" (Kogura, 2026); "Toward a Formal Definition of the Return Structure: A Sketch" (Kogura, 2026). All materials available at caring-gap.com.