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<div class="book-index-columns">
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<div>
<p style="font-size: 150%; color: black;">'''Normal Science'''</p>
<p style="font-size:  100%; color: black;">(''Public Open Access''{{Tooltip|2=This section is open to all users and represents the most inclusive part of the project, offering information and resources accessible to everyone.}})</p>
----
'''[[Introduction]]'''


*[[Logic of medical language]]
<!-- ===================== -->
**[[The logic of the classical language|The logic of classical language]]
<!-- COLUMN 1              -->
**[[The logic of the probabilistic language]]
<!-- ===================== -->
**[[Fuzzy language logic]]
<div class="book-card">
**[[System logic]]
<div class="book-card-title">Normal Science</div>
*[[Complex Systems|The Complex Systems]]
<hr class="book-card-sep" />
*[[Logic of medical language: Introduction to quantum-like probability in the masticatory system]]
*[[Conclusions on the status quo in the logic of medical language regarding the masticatory system]]


'''[[Hemimasticatory spasm]]'''
<div class="bi-topic">
<div class="bi-topic-title">'''[[Introduction]]'''</div>


*[[1° Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
* [[Logic of medical language]]
**[[Encrypted code: Ephaptic transmission]]
** [[The logic of the classical language|The logic of classical language]]
** [[The logic of the probabilistic language|The logic of the probabilistic]]
** [[Fuzzy language logic]]  
** [[System logic]]
* [[Complex Systems|The Complex Systems]]
* [[Logic of medical language: Introduction to quantum-like probability in the masticatory system]]
* [[Conclusions on the status quo in the logic of medical language regarding the masticatory system]]</div>


'''[[Bruxism]]'''
<div class="bi-topic">
<div class="bi-topic-title">'''[[Hemimasticatory spasm]]'''</div>


*[[Clinical case: Pineal Cavernoma]]
* [[Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
**[[Encrypted code: Hyperexcitability of the trigeminal system]]
** [[Encrypted code: Ephaptic transmission]]
</div>


'''[[Occlusion and Posture]]'''
<div class="bi-topic">
<div class="bi-topic-title">'''[[Bruxism]]'''</div>


*[[Clinical case: Meningioma]]
* [[Clinical case: Pineal Cavernoma]]
**[[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
** [[Encrypted code: Hyperexcitability of the trigeminal system]]
</div>


'''[[Orofacial Pain]]'''
<div class="bi-topic">
<div class="bi-topic-title">'''[[Occlusion and Posture]]'''</div>


*[[4° Clinical case: Temporomandibular disorders]]
* [[3° Clinical case: Meningioma]]
*[[5° Clinical case: Spontaneous Electromyographic Activity]]
** [[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
</div>
 
<div class="bi-topic">
<div class="bi-topic-title">'''[[Orofacial Pain]]'''</div>
 
* [[4° Clinical case: Temporomandibular disorders]]
* [[5° Clinical case: Spontaneous Electromyographic Activity]]
</div>


'''[[Are we sure to know everything?]]'''
<div class="bi-topic">
<div class="bi-topic-title">'''[[Are we sure to know everything?]]'''</div>


*[[6° Clinical case: Facial onset sensory and motor neuronopathy]]
* [[6° Clinical case: Facial onset sensory and motor neuronopathy]]
*[[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
* [[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
'''[[Conclusion of the ‘Normal Science’ section]]'''
</div>
</div>
<div>
<p style="font-size: 150%; color: black;">'''Crisis of Paradigm'''</p>
<p style="font-size:  100%; color: black;">(''Members only access''{{Tooltip|2=This section is reserved exclusively for users who have received a personal invitation to register on Masticationpedia. This invitation is sent only to carefully selected colleagues, chosen for their professional value, scientific interest, and distinctive qualities. If you find the topics interesting and have not received an invitation, you can request one by submitting a request through the 'Member Account request form'. (a Google Account is needed to request the Member Account).''


<span class="colour-button-small" style="float: right; margin-top: 1rem;">[https://docs.google.com/forms/d/e/1FAIpQLSfNPOFCBl8twuPIzhil1frbeBrgmcTzcxkXUu_f5OktuEX4Yw/viewform?vc=0&c=0&w=1&flr=0 Member Account request]</span>}})</p>
<div class="bi-topic">
----
<div class="bi-topic-title">Section closing</div>
*'''[[Conclusion of the ‘Normal Science’ section]]'''
</div>
</div>


<div class="crisis-of-paradigm-for-all">
<!-- ===================== -->
'''[[Research Diagnostic Criteria (RDC)]]'''
<!-- COLUMN 2              -->
<!-- ===================== -->
<div class="book-card">
<div class="book-card-title">Paradigm Crisis</div>
<hr class="book-card-sep" />


* [[Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
<div class="bi-topic">
** [[Transverse Hinge Axis]]
<div class="bi-topic-title">[[Research Diagnostic Criteria (RDC)]]</div>
** [[Vertical Hinge Axis]]
*[[Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
**The Magic of the Condylar Sphere
**[[Transverse Hinge Axis|Transverse hinge axis]]
**Vertical Hinge Axis
**The magic of the condylar sphere
</div>


*'''Jaw movements analysis:Pantographic Replicator'''
<div class="bi-topic">
**Intercondylar Distance
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Pantographic replicator</div>
**Advantage and Limit of Pantography
*Intercondylar distance
*Advantages and limits of pantography
</div>


* '''Jaw movements analysis:Axiographic Replicator'''
<div class="bi-topic">
**Interfacial Distance
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Axiographic replicator</div>
**Advantage and Limit of Axiography
*Interfacial distance
*Advantages and limits of axiography
</div>


*'''[[Electromyography|Electromyography (EMG)]]'''
<div class="bi-topic">
**EMG  Interferential pattern
<div class="bi-topic-title">[[Crisis:Electromyography|Electromyography (EMG)]]</div>
**EMG at rest position
*EMG interference pattern
**Quantitative Analysis of EMG
*Resting EMG
**Fourier transform
*Quantitative EMG analysis
**Wavelett
*Fourier transform
*Wavelets
</div>


* '''[[Transcutaneous Electric Nerve Stimulation]]'''
<div class="bi-topic">
**Intraocclusal free way space
<div class="bi-topic-title">'''[[Transcutaneous Electric Nerve Stimulation]]'''</div>
***The mysterious "Muscle tone"
*Intraocclusal free space
** Closing trajectory from TENS
**The mysterious “muscle tone”
*TENS closing trajectories
</div>


'''Beyond the RDC'''
<div class="bi-topic">
<div class="bi-topic-title">Beyond the RDC</div>


* [[Clinic Electromyography|Clinical Electromyography]]
* [[Clinic Electromyography|Clinical Electromyography]]
* [[Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
* [[Crisis:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
* Trigeminal Neurophysiopathology
 
* [[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
*Trigeminal neurophysiopathology
* [[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
*[[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
* [[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
*[[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
* Pain Pathophysiology
*[[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
* [[Role of Metabotropic Glutamate Receptors in Pain]]
*Pain pathophysiology
* [[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
*[[Role of Metabotropic Glutamate Receptors in Pain]]
* Use of Functional Magnetic Resonance Imaging (fMRI) in Pain Research
*[[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
* Neuroradiology in Craniofacial Pain
*Use of functional MRI (fMRI) in pain research
*Neuroradiology in craniofacial pain
</div>


'''Conclusions to the Paradigm crisis section'''
<div class="bi-topic">
<div class="bi-topic-title">Section closing</div>
*Conclusions of the paradigm crisis section
</div>
</div>
</div>
<div class="crisis-of-paradigm-for-members">
<!-- ===================== -->
'''[[Member:Research Diagnostic Criteria (RDC)|Research Diagnostic Criteria (RDC)]]'''
<!-- COLUMN 3              -->
<!-- ===================== -->
<div class="book-card"><div class="book-card-title">Index |Ψ'''<math>\rangle</math>'''</div>
<hr class="book-card-sep" />
 
<div class="bi-topic">
  <div class="bi-topic-title">


* [[Member:Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
Contributors to the |Ψ'''<math>\rangle</math>''' Index Paradigm:  
** [[Member:Transverse Hinge Axis|Transverse Hinge Axis]]
** Vertical Hinge Axis
**The Magic of the Condylar Sphere


*'''Jaw movements analysis:Pantographic Replicator'''
[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
**Intercondylar Distance
[[Autori:Kemal_Sitki_Türker|Kemal Sitki Türker]] ·
**Advantage and Limit of Pantography
[[Autori:Andrei_Khrennikov|Andrei Khrennikov]] ·
[[Autori:Diego_Centonze|Diego Centonze]] ·
[[Autori:Flavio_Frisardi|Flavio Frisardi]]<br><br>
<span style="font-style: italic; font-weight: 400;">
The '''<math>\mid\Psi\rangle</math>''' Index is a collaborative paradigm under continuous development.
</span>
</div>
</div>


* '''Jaw movements analysis:Axiographic Replicator'''
<div class="bi-topic">
**Interfacial Distance
  <div class="bi-topic-title">'''PART I — PREPARATION FOR THE CONCEPT OF INDEX <math>\mid\Psi\rangle</math>'''
**Advantage and Limit of Axiography
[[When Normal Science fails: a clinical anomaly that opens the problem|When Normal Science fails:<span class="bi-subtitle"> ''a clinical anomaly that opens the problem''</span>]]


*'''[[Member:Electromyography|Electromyography (EMG)]]'''
[[Levels of clinical observation: change of informational scale|'''Levels of clinical observation:''' <span class="bi-subtitle">change of informational scale</span>]]
**EMG  Interferential pattern
**EMG at rest position
**Quantitative Analysis of EMG
**Fourier transform
**Wavelett


* '''[[Member:Transcutaneous Electric Nerve Stimulation|Transcutaneous Electric Nerve Stimulation]]'''
[[Crisi del valore assoluto: instabilità del numero clinico|'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>]]
**Intraocclusal free way space
***The mysterious "Muscle tone"
** Closing trajectory from TENS


'''Beyond the RDC'''
[[Non-commutative variables in clinical practice: the order of information matters|'''Non-commutative variables in clinical practice:'''<span class="bi-subtitle"> ''the order of information matters''</span>]]


* [[Member:Clinic Electromyography|Clinic Electromyography]]
'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''
* [[Member:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
* Trigeminal Neurophysiopathology
* [[Member:Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods|Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
* [[Member:Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation|Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
* [[Member:Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery|Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
* Pain Pathophysiology
* [[Member:Role of Metabotropic Glutamate Receptors in Pain|Role of Metabotropic Glutamate Receptors in Pain]]
* [[Member:Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs|Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
* Use of Functional Magnetic Resonance Imaging (fMRI) in Pain Research
* Neuroradiology in Craniofacial Pain


'''Conclusions to the Paradigm crisis section'''  
'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span></div>
</div>
</div>


<div class="bi-topic">
  <div class="bi-topic-title">
'''PART II — THE FOUNDATIONS OF THE 'INDEX <math>\mid\Psi\rangle</math>'''<nowiki/>'
Why ∣Ψ⟩:  '''<span class="bi-subtitle">the state as a non-observable description of the clinical system</span>'''
'''Symmetry and system stability: <span class="bi-subtitle">relation as information</span>'''
'''Adimensionality: <span class="bi-subtitle"> ''why a clinical state cannot depend on units of measurement''</span>'''
'''Normalization: <span class="bi-subtitle">from individual data to system comparability</span>'''
'''The Index as a vector: <span class="bi-subtitle">why a number alone does not describe a state</span>'''
Clinical phase: '''<span class="bi-subtitle">the non-evident information that distinguishes apparently similar states</span>'''
The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
</div>
</div>
</div>
<div>
<p style="font-size: 150%;">'''Extraordinary science'''</p>
<p style="font-size:  100%; color: black;">(''in Progress'')</p>
----
<div class="extraordinary-science-for-all">


'''Module 1 – Introduction to the New Paradigm'''{{Tooltip|2=🔮 '''Fondamento del nuovo paradigma diagnostico'''<br/><br/>🔹 Per decenni la diagnosi nel sistema masticatorio è stata ancorata quasi esclusivamente all’osservazione macroscopica, assumendo che la forma visibile (lo ''stato occlusale'') riflettesse fedelmente la funzione profonda (lo ''stato neurofunzionale'').<br/>
Tuttavia, i casi clinici presentati nella sezione ''Normal Science'' dimostrano l’opposto: la realtà macroscopica può risultare completamente disaccoppiata dallo stato neurofisiologico del sistema trigeminale.<br/><br/>🔀 Una presunta “malocclusione” può rivelare un sistema neurologicamente simmetrico e funzionalmente stabile;<br/>
mentre una “normocclusione” ottenuta per via ortodontica e/o chirurgica può celare un danno funzionale severo, invisibile alla valutazione clinica convenzionale.<br/><br/>🐱‍👤 In questo contesto, il paradosso di Schrödinger diventa un’analogia clinica concreta: il paziente può essere simultaneamente “sano” e “malato” finché non viene effettuata una misurazione mesoscopica neurofisiologica capace di far collassare lo ''stato del sistema'', rivelandone la reale configurazione strutturale e funzionale.<br/><br/>👉 Possiamo dunque parlare, a pieno titolo, di una '''sovrapposizione dinamica di fasi funzionali''' all’interno del sistema masticatorio.<br/><br/>‼️ Per approfondire:<br/><nowiki [[Conclusions_on_the_status_quo_in_the_logic_of_medical_language_regarding_the_masticatory_system#Introduction_to_quantum-like_diagnostics|Introduction to quantum–like diagnostics]]</nowiki><br/><br/>🧪 La misurazione stessa — dipendente da osservatore, strumento e contesto — modifica ciò che viene osservato. Questo mette in luce i limiti strutturali della diagnostica classica, basata su logiche linguistiche ambigue e su modelli probabilistici frequentisti (P-value) o bayesiani, inadatti a descrivere fenomeni complessi, non lineari e temporalmente dinamici come quelli generati dai sistemi neurofisiologici.<br/><br/>🧩 Nella diagnostica tradizionale si attribuisce fiducia quasi assoluta ai segni clinici e alla sintomatologia — elementi appartenenti al linguaggio naturale e non a un linguaggio formale. Diversa è la natura dei '''segnali criptati neurocognitivi''', non immediatamente traducibili nel linguaggio clinico convenzionale.<br/><br/>💠 Come mostrato nei casi della sezione ''Normal Science'', un segnale criptato di bruxismo — comunemente interpretato come fenomeno meccanico-odontoiatrico — può essere correttamente decriptato solo attraverso una misurazione mesoscopica elettrofisiologica trigeminale, come il '''ciclo di recupero del periodo silente masseterino (rcMIR)'''.<br/>
Questa misurazione permette di rilevare un danno neurologico strutturale anche in pazienti trattati per anni con terapie sintomatiche (es. biteplane) senza alcuna comprensione della causa primaria.<br/><br/>‼️ Per un approfondimento sul rcMIR:<br/>
<nowiki>[[Encrypted_code:_Hyperexcitability_of_the_trigeminal_system#2nd Step: Recovery cycle of the Inhibitory Masseter Reflex|2nd Step: Recovery cycle of the Inhibitory Masseter Reflex]]</nowiki><br/><br/>🔹 Questi tre aspetti — sovrapposizione di fasi funzionali, decriptaggio di segnali subliminali e ritardo dell’informazione clinica — mettono in luce una profonda anomalia epistemologica.<br/><br/>
Nella pratica clinica moderna si considera ancora il binomio “osservazioni cliniche + test di laboratorio” come un insieme commutativo, cioè indipendente dall’ordine di esecuzione.<br/>
La realtà biofisica e neurognatologica mostra invece l’opposto:<br/><br/>👉 '''Le variabili diagnostiche sono non-commutative.'''<br/>
'''AB ≠ BA'''<br/><br/> Ogni misurazione:<br/>
• seleziona un sotto-spazio di possibilità interpretative,<br/>
• altera il contesto diagnostico,<br/>
• influenza il significato delle misurazioni successive.<br/><br/>Questa è una forma di '''non-commutatività epistemica''', perfettamente coerente con i modelli “quantum-like” applicati ai sistemi cognitivi e biologici.<br/><br/>📌 '''Esempio clinico (formalizzato correttamente):'''<br/>
Un paziente classificato per 10 anni come affetto da “bruxismo odontoiatrico” (misurazione A) ha ricevuto trattamenti coerenti con tale frame interpretativo.<br/>
Solo dopo una valutazione mesoscopica tramite rcMIR (misurazione B) è emerso un pattern di ipereccitabilità compatibile con una lesione centrale (es. cavernoma pineale).<br/><br/> Se si fosse invertito l’ordine delle misurazioni:<br/>
• '''BA (rcMIR → valutazione clinica)''' avrebbe permesso di sospettare subito una patologia neurologica.<br/>
• '''AB (valutazione odontoiatrica → rcMIR)''' ha ritardato la diagnosi di 10 anni.<br/><br/>👉 La non-commutatività diagnostica è dunque un fatto clinico, non solo teorico.<br/>Non è il tempo il vero problema, ma la '''sequenza''' delle misurazioni, che determina il frame cognitivo entro cui le successive vengono interpretate.<br/><br/>In questo senso, il modello quantum-like — basato su variabili non-commutative, aggiornamento contestuale dell’informazione e dipendenza dal percorso di misura — risulta più aderente alla clinica reale rispetto ai modelli statistici classici.<br/><br/>‼️ Per un approfondimento vedi:<br/>
<nowiki>[[Conclusion of the ‘Normal Science’ section#Non-commutative Variables|Non-commutative Variables]]</nowiki><br/><br/>🔥 Di conseguenza, la ''normal science'' entra in crisi: i modelli classici non riescono più a spiegare le anomalie cliniche ricorrenti.<br/><br/>🔧 Il nuovo paradigma richiede un modello diagnostico non-classico, capace di gestire:<br/>
• la coesistenza di stati funzionali multipli,<br/>
• l’incertezza epistemica,<br/>
• le dinamiche emergenti del sistema.<br/><br/>Questo costituisce il fondamento concettuale per la costruzione dell’'''Indice Ψ''', il primo indicatore quantum-like dello stato masticatorio.
}}


<div class="bi-topic">
  <div class="bi-topic-title">'''PART III – TOWARDS EXTRAORDINARY SCIENCE'''


<small>Authors: Gianni Frisardi</small>
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* Why a paradigm shift in masticatory science
<span style="font-style: italic; font-weight: 400;">
* From “occlusion only” to neuro–gnathological systems
Note to the reader
* Normal Science – Crisis – Extraordinary Science in the masticatory field
</span><br/>
* Positioning of Masticationpedia within this paradigm


'''Module 2 – Quantum-like Framework for Biological and Clinical Systems'''<br/><small>Authors: Andrei Khrennikov</small>  
<span style="font-weight: 400;">
This section does not present a completed model.<br/>
It presents the construction pathway of the Index '''<math>\mid\Psi\rangle</math>'''.<br/>
Each section is open to revision, discussion, and critical contributions.
</span>


* Classical vs quantum(-like) probability in medicine
</div>
* Open quantum systems and biological functions
* Quantum instruments and self-measurement in biosystems
* From cognitive models to trigeminal diagnostics


'''Module 3 – Trigeminal Electrophysiology and Reflex Circuits'''<br/>
Instrumental framework: '''<span class="bi-subtitle">''from signals to states''</span>'''
<small>Authors: Kemal S. Türker</small>


* Masseter reflexes and silent periods
Foundational decision: '''<span class="bi-subtitle">''why absolute data are not sufficient''</span>'''
* Cutaneous and nociceptive stimulation of trigeminal system
* Single motor unit vs surface EMG analysis
* Reliability and clinical meaning of trigeminal reflex measures


'''Module 4 – Structural Connectivity (SC) of the Trigeminal System'''<br/>
The trigeminal biological constant:'''<span class="bi-subtitle"> ''a physiological scale in which only the last decimals move''</span>'''
<small>Authors: Gianni Frisardi, Kemal S. Türker</small>


* Definition of Structural Connectivity in the masticatory system
Symmetry:'''<span class="bi-subtitle"> ''defined as system error''</span>'''
* Trigeminal Root Motor Evoked Potentials (R-MEPs)
* Protocols, latency, amplitude and symmetry indices
* SC markers for complex rehabilitative planning


'''Module 5 – Functional Connectivity (FC) of the Trigeminal System'''<br/>
Elementary asymmetries:'''<span class="bi-subtitle"> ''construction and clinical meaning''</span>'''
<small>Authors: Kemal S. Türker, Gianni Frisardi;</small>


* Definition of Functional Connectivity in the masticatory system
<sub>b</sub>Root-MEPs → <math>\alpha</math>:''' <span class="bi-subtitle"> ''structural normalizer of the system''</span>'''
* Jaw jerk
* Masseter tendon silent period
* Masseter electrical silent period
* Recovery cycle of the masseter inhibitory reflex
* H-wave and related polysynaptic responses
* FC markers in health and pathology


'''Module 6 – From SC/FC to Emergent Behaviour in Mastication'''<br/>
Masticatory reflexes → <math>\beta_i</math>:'''<span class="bi-subtitle"> ''aggregation as clinical observables''</span>'''
<small>Authors: Gianni Frisardi (lead); Kemal S. Türker; Ali Esquembre</small>


* Separation and interaction between SC and FC
Error → Order:'''<span class="bi-subtitle"> ''logarithmic transformation (Neperian)''</span>'''
* Emergent patterns in complex masticatory tasks
* Network perspective on neuro-gnathological dysfunctions
* Conceptual bridge toward a synthetic index of system state


'''Module 7 – Index <math>\Psi</math>: Quantum-like Diagnostic Model'''<br/>
Decimals:'''<span class="bi-subtitle"> ''control of <math>\tau</math> and <math>\kappa</math>''</span>'''
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>


* Model description
Excitability state→ <math>\chi</math>:'''<span class="bi-subtitle"> ''insertion as a state variable''</span>'''
** Role of trigeminal motor evoked potentials (R-MEPs) in evaluating SC
** Role of trigeminal reflexes in evaluating FC
** Integration of SC and FC in a single state variable
** Emergent Behaviour encoded in the index <math>\Psi</math>
* Quantum modelling of the Index '''<math>\Psi</math>'''
** Quantum Bayes Theorem (QBayes)
** Interference term and differences from the classical approach
* Expectation value and mathematical formalism
** Operator form of the diagnostic model
** Cosine of <math>\psi</math> as a measure of overlap between concomitant pathologies


</div>
Index <math>\mid\Psi\rangle</math>:'''<span class="bi-subtitle"> ''interpretation as a clinical state''</span>'''


<div class="extraordinary-science-for-affiliates">
Phase:'''<span class="bi-subtitle"> ''state transfer and the role of semantic AI''</span>'''


'''Module 1 – Introduction to the New Paradigm'''<br/>
Logical closure:'''<span class="bi-subtitle"> ''internal coherence of the model''</span>'''
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>
</div>
</div>


* Why a paradigm shift in masticatory science
</div>
* From “occlusion only” to neuro–gnathological systems
* Normal Science – Crisis – Extraordinary Science in the masticatory field
* [Errore Traduzione]
 
'''

Versione attuale delle 16:00, 24 gen 2026

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       The Book Index as a working map

Masticationpedia’s Book Index is not the table of contents of a finished book nor the final structure of a manual. It is a continuously evolving editorial and scientific working map.

The sections and chapters listed here do not represent a didactic pathway, but the points where clinical practice reveals fractures, anomalies, and paradigm limits that must be addressed without simplification.

“The Ψ Index is a clinical criterion, but it is born within a paradigm crisis: it does not only measure data, it reorganizes their interpretation.”

  • Some chapters are complete, others partial; others are present as conceptual nodes.
  • The order of the index is not final: it may change, be reorganized, or expanded.
  • The Book Index does not contain final answers: it contains the conditions of their necessity.
       Sections and chapters evolve together with the project’s clinical and methodological work.



Paradigm Crisis

Jaw movements analysis: Pantographic replicator
  • Intercondylar distance
  • Advantages and limits of pantography
Jaw movements analysis: Axiographic replicator
  • Interfacial distance
  • Advantages and limits of axiography
  • EMG interference pattern
  • Resting EMG
  • Quantitative EMG analysis
  • Fourier transform
  • Wavelets
  • Intraocclusal free space
    • The mysterious “muscle tone”
  • TENS closing trajectories
Section closing
  • Conclusions of the paradigm crisis section
Index |Ψ

Contributors to the |Ψ Index Paradigm:

Gianni Frisardi · Kemal Sitki Türker · Andrei Khrennikov · Diego Centonze · Flavio Frisardi

The Ψ Index is a collaborative paradigm under continuous development.

PART I — PREPARATION FOR THE CONCEPT OF INDEX Ψ

When Normal Science fails: a clinical anomaly that opens the problem

Levels of clinical observation: change of informational scale

Crisis of the absolute value: instability of the clinical number

Non-commutative variables in clinical practice: the order of information matters

Magnitude and phase without anchoring: why any generic index fails

Noise, encrypted signal and clinical phase: non-evident information


PART II — THE FOUNDATIONS OF THE 'INDEX Ψ'

Why ∣Ψ⟩: the state as a non-observable description of the clinical system

Symmetry and system stability: relation as information

Adimensionality: why a clinical state cannot depend on units of measurement

Normalization: from individual data to system comparability

The Index as a vector: why a number alone does not describe a state

Clinical phase: the non-evident information that distinguishes apparently similar states

The trigeminal biological constant: a physiological scale in which only the last decimals move


PART III – TOWARDS EXTRAORDINARY SCIENCE

Note to the reader

This section does not present a completed model.
It presents the construction pathway of the Index Ψ.
Each section is open to revision, discussion, and critical contributions.

Instrumental framework: from signals to states

Foundational decision: why absolute data are not sufficient

The trigeminal biological constant: a physiological scale in which only the last decimals move

Symmetry: defined as system error

Elementary asymmetries: construction and clinical meaning

bRoot-MEPs → α: structural normalizer of the system

Masticatory reflexes → βi: aggregation as clinical observables

Error → Order: logarithmic transformation (Neperian)

Decimals: control of τ and κ

Excitability state→ χ: insertion as a state variable

Index Ψ: interpretation as a clinical state

Phase: state transfer and the role of semantic AI

Logical closure: internal coherence of the model