Logic as Reactance: Truth-Judgment as Substrate Mechanics, and Why 'Merely Statistical' Fails to Distinguish Minds from Models

Feed a fine-tuned language model an input that contradicts what it has just learned and its log-probability collapses at the first content-token, a sharp cliff-event rather than a smooth shading-off. This philosophy-of-AI position paper argues that judging something true or false is a substrate's reactance signature, in silicon and biological tissue alike. Target venue: Minds and Machines (Springer). Abstract. A recurring objection to treating large language models as cognitive systems holds that their output is "merely statistical" — distinguished from genuine reasoning by the probabilistic nature of its substrate. This paper argues the objection is self-undermining. Biological cognition is also a probabilistic, substrate-bound process: forty-five years of sequential-sampling and accumulator modelling in mathematical psychology (Ratcliff 1978; Usher & McClelland 2001; Brown & Heathcote 2008) establish that human decision and truth-judgment are continuous readouts of a noisy substrate accumulating evidence toward a threshold. "Merely statistical" therefore picks out a property biological and artificial cognition share; it cannot be the mark that makes one "real" reasoning and the other not. The objection, consistently applied, dissolves its own asymmetry. The positive account — logic as reactance. On a race-architecture substrate (Pødenphant Lund 2026b, 2026e), truth-value judgment is the substrate's reactance signature: the differential race-pressure that arises when an input violates the substrate's gradient-encoded distribution. The substrate registers "true" when no reactance is triggered, "false" when it triggers strongly, and "irrelevant" when it is below detection threshold. Binary truth is the discrete-symbolic readout of a continuous substrate process — in biological tissue and in silicon alike. Empirical illustration. The paper reports a measurable cliff-event signature in fine-tuned LLMs at the first content-token: a discontinuous log-probability collapse when input violates the encoded distribution, replicated across two architectures (Qwen2.5-7B, Mistral-7B-v0.3, p < 1e-17 on both) and eleven encoding-depth checkpoints (ep_0–ep_300). Whether this signature is best described as "reactance" or as calibration geometry, it is structured substrate-internal dynamics — which is all the argument needs. Theoretical positioning. The paper situates the account against five prior frameworks at substrate-mechanism level — predictive processing (Friston 2010; Clark 2013), quantum cognition (Pothos & Busemeyer 2013), signal detection theory (Green & Swets 1966), fuzzy logic / vagueness (Zadeh 1965), and the sequential-sampling / accumulator tradition (§7.6) — and treats the Atmanspacher–Römer–Walach Weak Quantum Theory tradition (Atmanspacher, Römer & Walach 2002; beim Graben & Atmanspacher 2006) as the closest sibling substrate-mechanism program for quantum-cognition phenomena. Convergent biological prior art (N400 ERP, kindling, reactance/dissonance phenomenology, fMRI confidence-tracking) is positioned at §7.5. Eleven falsifiable predictions P14.1–P14.11 are offered as an explicit invitation to the field to test — including an N400 paradigm (P14.11) for direct biological-substrate measurement. Companion papers in the Friction Theory series: Paper 1 (FT generalised): 10.5281/zenodo.20012654 Paper 2B (ICL/FT substrate mechanism): 10.5281/zenodo.20145218 Paper 10 (Race architecture): 10.5281/zenodo.20014567 Paper 13 (Operational Friction Theory): 10.5281/zenodo.20059876 What is new in v3 (relative to v2): §7.2 Quantum cognition gains a substantive engagement with beim Graben & Atmanspacher (2006) and Atmanspacher, Römer & Walach (2002) Weak Quantum Theory as the closest sibling substrate-mechanism program (+ 2 new bibliography entries). Otherwise unchanged from v2. v2 (2026-05-22) was the substantive reframe from an empirical-discovery paper to the present philosophy-of-AI position-paper form; v1 (2026-05-16) is archived. The concept DOI auto-resolves to the latest version. v4 (August 2026) — repositioning and self-containment revision. The substrate-general claim is advanced as a hypothesis rather than a law, standing on prior formal accounts including resource-rational analysis; the paper is made self-contained, with companion results demoted to pointers and the in-paper evidence carrying every checkable claim; the cross-domain preference result now reports its full paired test re-derived from the raw data; the floating-point scaling law is scoped to class-membership for language models; statistical reporting is tightened throughout. Earlier versions remain in the version history.

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Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-24
DOI
https://doi.org/10.5281/zenodo.20217712
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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Logic as Reactance: Truth-Judgment as Substrate Mechanics, and Why 'Merely Statistical' Fails to Distinguish Minds from Models

Tomas Pødenphant Lund
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Logic as Reactance: Truth-Judgment as Substrate Mechanics, and Why 'Merely Statistical' Fails to Distinguish Minds from Models

Tomas Pødenphant Lund
preprint en

Abstract

Feed a fine-tuned language model an input that contradicts what it has just learned and its log-probability collapses at the first content-token, a sharp cliff-event rather than a smooth shading-off. This philosophy-of-AI position paper argues that judging something true or false is a substrate's reactance signature, in silicon and biological tissue alike. Target venue: Minds and Machines (Springer). Abstract. A recurring objection to treating large language models as cognitive systems holds that their output is "merely statistical" — distinguished from genuine reasoning by the probabilistic nature of its substrate. This paper argues the objection is self-undermining. Biological cognition is also a probabilistic, substrate-bound process: forty-five years of sequential-sampling and accumulator modelling in mathematical psychology (Ratcliff 1978; Usher & McClelland 2001; Brown & Heathcote 2008) establish that human decision and truth-judgment are continuous readouts of a noisy substrate accumulating evidence toward a threshold. "Merely statistical" therefore picks out a property biological and artificial cognition share; it cannot be the mark that makes one "real" reasoning and the other not. The objection, consistently applied, dissolves its own asymmetry. The positive account — logic as reactance. On a race-architecture substrate (Pødenphant Lund 2026b, 2026e), truth-value judgment is the substrate's reactance signature: the differential race-pressure that arises when an input violates the substrate's gradient-encoded distribution. The substrate registers "true" when no reactance is triggered, "false" when it triggers strongly, and "irrelevant" when it is below detection threshold. Binary truth is the discrete-symbolic readout of a continuous substrate process — in biological tissue and in silicon alike. Empirical illustration. The paper reports a measurable cliff-event signature in fine-tuned LLMs at the first content-token: a discontinuous log-probability collapse when input violates the encoded distribution, replicated across two architectures (Qwen2.5-7B, Mistral-7B-v0.3, p < 1e-17 on both) and eleven encoding-depth checkpoints (ep_0–ep_300). Whether this signature is best described as "reactance" or as calibration geometry, it is structured substrate-internal dynamics — which is all the argument needs. Theoretical positioning. The paper situates the account against five prior frameworks at substrate-mechanism level — predictive processing (Friston 2010; Clark 2013), quantum cognition (Pothos & Busemeyer 2013), signal detection theory (Green & Swets 1966), fuzzy logic / vagueness (Zadeh 1965), and the sequential-sampling / accumulator tradition (§7.6) — and treats the Atmanspacher–Römer–Walach Weak Quantum Theory tradition (Atmanspacher, Römer & Walach 2002; beim Graben & Atmanspacher 2006) as the closest sibling substrate-mechanism program for quantum-cognition phenomena. Convergent biological prior art (N400 ERP, kindling, reactance/dissonance phenomenology, fMRI confidence-tracking) is positioned at §7.5. Eleven falsifiable predictions P14.1–P14.11 are offered as an explicit invitation to the field to test — including an N400 paradigm (P14.11) for direct biological-substrate measurement. Companion papers in the Friction Theory series: Paper 1 (FT generalised): 10.5281/zenodo.20012654 Paper 2B (ICL/FT substrate mechanism): 10.5281/zenodo.20145218 Paper 10 (Race architecture): 10.5281/zenodo.20014567 Paper 13 (Operational Friction Theory): 10.5281/zenodo.20059876 What is new in v3 (relative to v2): §7.2 Quantum cognition gains a substantive engagement with beim Graben & Atmanspacher (2006) and Atmanspacher, Römer & Walach (2002) Weak Quantum Theory as the closest sibling substrate-mechanism program (+ 2 new bibliography entries). Otherwise unchanged from v2. v2 (2026-05-22) was the substantive reframe from an empirical-discovery paper to the present philosophy-of-AI position-paper form; v1 (2026-05-16) is archived. The concept DOI auto-resolves to the latest version. v4 (August 2026) — repositioning and self-containment revision. The substrate-general claim is advanced as a hypothesis rather than a law, standing on prior formal accounts including resource-rational analysis; the paper is made self-contained, with companion results demoted to pointers and the in-paper evidence carrying every checkable claim; the cross-domain preference result now reports its full paired test re-derived from the raw data; the floating-point scaling law is scoped to class-membership for language models; statistical reporting is tightened throughout. Earlier versions remain in the version history.

Zenodo (CERN European Organization for Nuclear Research)
Aarhus University (DK)
Peace, Justice and strong institutions
Quantum Mechanics and Applications
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