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      Hover over the labels above to understand <b>Open Access</b>, <b>Member</b>, and <b>Affiliate</b>.
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  <!-- OPEN ACCESS -->
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  <b>Important:</b> the financial contribution <b>does not purchase visibility</b>,
<p style="font-size: 150%; color: black;">'''Normal Science'''</p>
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<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>
  and <b>does not guarantee</b> inclusion in the Network.
----
</div>


'''[[Introduction]]'''
      </span>
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*[[Logic of medical language]]
  <!-- MEMBER -->
**[[The logic of the classical language|The logic of classical language]]
  <div class="pyr-label" style="top:24%; left:33%;">
**[[The logic of the probabilistic language]]
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**[[Fuzzy language logic]]
      Member
**[[System logic]]
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*[[Complex Systems|The Complex Systems]]
        <b>Member</b><br><br>
*[[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]]'''
        <b>Read-only</b> access to the reserved Book Index chapters,
        available to readers who identify themselves through an active LinkedIn profile.<br><br>


*[[1° Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
        <b>There is no cost.</b><br>
**[[Encrypted code: Ephaptic transmission]]
        Registration helps keep Masticationpedia focused
        on an identified and accountable scientific community.<br><br>


'''[[Bruxism]]'''
        <b>Permissions:</b>
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          <li>full reading access to reserved chapters</li>
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*[[2° Clinical case: Pineal Cavernoma]]
        <div style="text-align:center; margin-top:12px;">
**[[Encrypted code: Hyperexcitability of the trigeminal system]]
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            🔐 Apply with LinkedIn
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'''[[Occlusion and Posture]]'''
        <div style="margin-top:10px; opacity:0.9; font-size:12px; line-height:1.35;">
          After approval, reading permissions are enabled on your account.
        </div>
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    </span>
  </div>


*[[3° Clinical case: Meningioma]]
</div>
**[[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
</html>


'''[[Orofacial Pain]]'''


*[[4° Clinical case: Temporomandibular disorders]]
<!-- ===================================================== -->
*[[5° Clinical case: Spontaneous Electromyographic Activity]]
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'''[[Are we sure to know everything?]]'''
    <div style="font-size: 15px; line-height: 1.65;">
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        Masticationpedia’s Book Index <b>is not the table of contents of a finished book</b>
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The sections and chapters listed here do not represent a didactic pathway,
but the points where clinical practice reveals <b>fractures, anomalies, and paradigm limits</b>
that must be addressed without simplification.
      <blockquote>
        “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.”
      </blockquote>


*[[6° Clinical case: Facial onset sensory and motor neuronopathy]]
      <ul style="margin: 10px 0 10px 18px; padding: 0;">
*[[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
        <li style="margin: 6px 0;">Some chapters are complete, others partial; others are present as <b>conceptual nodes</b>.</li>
'''[[Conclusion of the ‘Normal Science’ section]]'''
        <li style="margin: 6px 0;">The order of the index <b>is not final</b>: it may change, be reorganized, or expanded.</li>
        <li style="margin: 6px 0;">The Book Index does not contain final answers: it contains the <b>conditions of their necessity</b>.</li>
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        Sections and chapters evolve together with the project’s clinical and methodological work.
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</div>
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<div>
<p style="font-size: 150%; color: black;">'''Crisis of Paradigm'''</p>
<div>(''Members only access''{{Tooltip|2={{#tag:html|<div style="max-width:360px;"><p style="margin:0 0 8px 0;"><strong>Access to full chapter</strong><br/>This section represents a transitional zone of Masticationpedia, where classical diagnostic models begin to show their limits and inconsistencies. Here we analyze clinical anomalies, methodological conflicts, and unresolved questions that cannot be fully explained within traditional frameworks.If you are not yet a member, you may apply via LinkedIn to request access.
If you already have an approved account, please use Member entry to continue.</p><div style="display:flex; gap:12px; align-items:center; justify-content:flex-start; flex-wrap:wrap;"><a class="hero-cta-button tooltip-trigger-expert" href="https://staging.masticationpedia.org/oauth/linkedin-login.php"><span class="hero-action__icon hero-action__icon--linkedin"></span><span class="hero-action__label">Apply via LinkedIn</span></a><a class="hero-cta-button tooltip-trigger-entry" href="/wiki/Special:UserLogin"><span class="hero-action__icon hero-action__icon--entry">👤</span><span class="hero-action__label">Member entry</span></a></div></div>}}}})


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'''[[Research Diagnostic Criteria (RDC)]]'''
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* [[Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
** [[Transverse Hinge Axis]]
** [[Vertical Hinge Axis]]
**The Magic of the Condylar Sphere


*'''Jaw movements analysis:Pantographic Replicator'''
</style>
**Intercondylar Distance
</html>
**Advantage and Limit of Pantography


* '''Jaw movements analysis:Axiographic Replicator'''
**Interfacial Distance
**Advantage and Limit of Axiography


*'''[[Electromyography|Electromyography (EMG)]]'''
<div class="book-index-columns">
**EMG  Interferential pattern
**EMG at rest position
**Quantitative Analysis of EMG
**Fourier transform
**Wavelett


* '''[[Transcutaneous Electric Nerve Stimulation]]'''
<!-- ===================== -->
**Intraocclusal free way space
<!-- COLUMN 1              -->
***The mysterious "Muscle tone"
<!-- ===================== -->
** Closing trajectory from TENS
<div class="book-card">
<div class="book-card-title">Normal Science</div>
<hr class="book-card-sep" />


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


* [[Clinic Electromyography|Clinical Electromyography]]
* [[Logic of medical language]]
* [[Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
** [[The logic of the classical language|The logic of classical language]]  
* Trigeminal Neurophysiopathology
** [[The logic of the probabilistic language|The logic of the probabilistic]]  
* [[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
** [[Fuzzy language logic]]  
* [[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
** [[System logic]]  
* [[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
* [[Complex Systems|The Complex Systems]]
* Pain Pathophysiology
* [[Logic of medical language: Introduction to quantum-like probability in the masticatory system]]  
* [[Role of Metabotropic Glutamate Receptors in Pain]]
* [[Conclusions on the status quo in the logic of medical language regarding the masticatory system]]</div>
* [[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
 
* Use of Functional Magnetic Resonance Imaging (fMRI) in Pain Research
<div class="bi-topic">
* Neuroradiology in Craniofacial Pain
<div class="bi-topic-title">'''[[Hemimasticatory spasm]]'''</div>


'''Conclusions to the Paradigm crisis section'''
* [[1° Clinical case: Hemimasticatory spasm|1° Clinical case: Emimasticatory spasm]]
** [[Encrypted code: Ephaptic transmission]]
</div>
</div>
<div class="crisis-of-paradigm-for-members">
'''[[Member:Research Diagnostic Criteria (RDC)|Research Diagnostic Criteria (RDC)]]'''


* [[Member:Jaw movements analysis. Part 1: Electrognathographic Replicator|Jaw movements analysis: Electrognathographic Replicator]]
<div class="bi-topic">
** [[Member:Transverse Hinge Axis|Transverse Hinge Axis]]
<div class="bi-topic-title">'''[[Bruxism]]'''</div>
** Vertical Hinge Axis
**The Magic of the Condylar Sphere


*'''Jaw movements analysis:Pantographic Replicator'''
* [[2° Clinical case: Pineal Cavernoma]]
**Intercondylar Distance
** [[Encrypted code: Hyperexcitability of the trigeminal system]]
**Advantage and Limit of Pantography
</div>


* '''Jaw movements analysis:Axiographic Replicator'''
<div class="bi-topic">
**Interfacial Distance
<div class="bi-topic-title">'''[[Occlusion and Posture]]'''</div>
**Advantage and Limit of Axiography


*'''[[Member:Electromyography|Electromyography (EMG)]]'''
* [[3° Clinical case: Meningioma]]
**EMG  Interferential pattern
** [[Encrypted code: Bilateral Motor Evoked Potentials of trigeminal root]]
**EMG at rest position
</div>
**Quantitative Analysis of EMG
**Fourier transform
**Wavelett


* '''[[Member:Transcutaneous Electric Nerve Stimulation|Transcutaneous Electric Nerve Stimulation]]'''
<div class="bi-topic">
**Intraocclusal free way space
<div class="bi-topic-title">'''[[Orofacial Pain]]'''</div>
***The mysterious "Muscle tone"
** Closing trajectory from TENS


'''Beyond the RDC'''
* [[4° Clinical case: Temporomandibular disorders]]
* [[5° Clinical case: Spontaneous Electromyographic Activity]]
</div>


* [[Member:Clinic Electromyography|Clinic Electromyography]]
<div class="bi-topic">
* [[Member:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
<div class="bi-topic-title">'''[[Are we sure to know everything?]]'''</div>
* 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'''
* [[6° Clinical case: Facial onset sensory and motor neuronopathy]]
* [[7° Clinical case: Brainstem neoplasm in Orofacial pain]]
</div>
</div>


<div class="bi-topic">
<div class="bi-topic-title">Section closing</div>
*'''[[Conclusion of the ‘Normal Science’ section]]'''
</div>
</div>
</div>
</div>


<div>
<!-- ===================== -->
<p style="font-size: 150%;">'''Extraordinary science'''</p><div>(''Affiliate only access''{{Tooltip|
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1=<span style="color:#c00;font-weight:bold;">Affiliate access</span>|
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2=<div style="max-width:340px; line-height:1.45;">
<div class="book-card">
<div class="book-card-title">Paradigm Crisis</div>
<hr class="book-card-sep" />


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


This section is part of a collaborative scientific project that goes beyond routine clinical education.<br><br>
<div class="bi-topic">
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Pantographic replicator</div>
*Intercondylar distance
*Advantages and limits of pantography
</div>


Access is reserved to <strong>Affiliates</strong>: professionals who support Masticationpedia through a <strong>monthly subscription</strong> and actively participate in an advanced scientific environment.
<div class="bi-topic">
<div class="bi-topic-title">'''Jaw movements a'''nalysis: Axiographic replicator</div>
*Interfacial distance
*Advantages and limits of axiography
</div>


<hr style="margin:10px 0;">
<div class="bi-topic">
<div class="bi-topic-title">[[Crisis:Electromyography|Electromyography (EMG)]]</div>
*EMG interference pattern
*Resting EMG
*Quantitative EMG analysis
*Fourier transform
*Wavelets
</div>


<strong>Affiliate benefits include:</strong>
<div class="bi-topic">
<ul style="margin:6px 0 8px 18px;">
<div class="bi-topic-title">'''[[Transcutaneous Electric Nerve Stimulation]]'''</div>
  <li>full access to Extraordinary Science chapters</li>
*Intraocclusal free space
  <li>participation in discussions and revisions</li>
**The mysterious “muscle tone”
  <li>editorial contribution and co-authorship recognition</li>
*TENS closing trajectories
  <li>access to future educational and training programs</li>
</div>
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<hr style="margin:10px 0;">
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<div class="bi-topic-title">Beyond the RDC</div>


<strong>Subscription & fiscal note</strong><br>
* [[Clinic Electromyography|Clinical Electromyography]]
The affiliation requires a <strong>€50 monthly subscription</strong>.<br>
* [[Crisis:Artificial Neural Networks: Automatic Neuromuscular Diagnostic|Artificial Neural Networks: Automatic Neuromuscular Diagnostic]]
A regular invoice can be issued, making the subscription <strong>tax-deductible as professional training</strong>, according to local regulations.


<hr style="margin:10px 0;">
*Trigeminal neurophysiopathology
*[[Trigeminal Nociceptive Evaluation in TMD Patients by studying CO2-Laser Evoked Potentials and Masseter Laser Silent Periods]]
*[[Electrical and Magnetic Stimulation of the Central and Peripheral Nervous System:Modeling of Generated Fields and Data Interpretation]]
*[[Transcranial Magnetic Stimulation and Brain Plasticity in Post-Stroke Recovery]]
*Pain pathophysiology
*[[Role of Metabotropic Glutamate Receptors in Pain]]
*[[Neuronal Basis of Neuropathic Pain and Neuroprotective Mechanisms of Antiepileptic Drugs]]
*Use of functional MRI (fMRI) in pain research
*Neuroradiology in craniofacial pain
</div>


<div style="text-align:center; margin-top:8px;">
<div class="bi-topic">
  <a class="hero-cta-button"
<div class="bi-topic-title">Section closing</div>
    href="INSERISCI_QUI_IL_LINK_PAYPAL"
*Conclusions of the paradigm crisis section
    target="_blank" rel="noopener">
    <span class="hero-action__icon">💳</span>
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<!-- ===================== -->
<!-- COLUMN 3              -->
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<div class="book-card"><div class="book-card-title">Index |Ψ'''<math>\rangle</math>'''</div>
<hr class="book-card-sep" />


<small style="display:block;margin-top:8px;">
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Subscription represents a request for affiliation.<br>
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Contributors to the |Ψ'''<math>\rangle</math>''' Index Paradigm:
[[Autori:Gianni_Frisardi|Gianni Frisardi]] ·
[[Autori:Kemal_Sitki_Türker|Kemal Sitki Türker]] ·
[[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>
</div>
}}


----
<div class="bi-topic">
  <div class="bi-topic-title">'''PART I — PREPARATION FOR THE CONCEPT OF INDEX <math>\mid\Psi\rangle</math>'''
[[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>]]


[[Levels of clinical observation: change of informational scale|'''Levels of clinical observation:''' <span class="bi-subtitle">change of informational scale</span>]]


'''[[Introduction to the New Paradigm]]'''<p>
[[Crisi del valore assoluto: instabilità del numero clinico|'''Crisis of the absolute value:'''<span class="bi-subtitle"> ''instability of the clinical number''</span>]]
<small>Authors: Gianni Frisadi</small><p>
Functional Variability and the Limits of Structural Determinism in the Masticatory System<p>
Contextual Probability, Interference and the Limits of Classical Diagnostic Reasoning<p>
'''Module 2 – Quantum-like Framework for Biological and Clinical Systems'''{{TooltipWide|2=🧬 '''Quantum-like Framework for Biological and Clinical Systems'''<br/><br/>🔹 Secondo Khrennikov, i sistemi biologici e cognitivi non seguono la probabilità classica, ma generano '''pattern non-classici''' dovuti a:<br/>
• dipendenza dal contesto di osservazione,<br/>
• dipendenza sequenziale delle misure (order effects),<br/>
• interferenza informativa tra stati potenziali.<br/><br/>🧠 In questi sistemi, lo ''stato'' non è un valore singolo, ma una '''distribuzione contestuale''' che cambia quando cambia la domanda clinica o l’ordine delle osservazioni. 
Questa proprietà è perfettamente coerente con il comportamento del sistema trigeminale nei nostri casi clinici: ciò che osserviamo dipende dall’ordine con cui lo misuriamo.<br/><br/>⚛️ Khrennikov introduce il modello di '''probabilità quantum-like''' non come fisica quantistica, ma come matematica più adatta a descrivere:<br/>
• sistemi aperti e non-lineari,<br/>
• rumore biologico non-gaussiano,<br/>
• misure non-commutative,<br/>
• stati sovrapposti che collassano solo al momento della misurazione.<br/><br/>
📌 '''Perché è rilevante per il nostro progetto?'''<br/>
Il sistema trigeminale è un sistema aperto, influenzato da input periferici, corticali, emotivi e motori. La sua risposta clinica non può essere descritta solo da media, deviazioni standard o modelli deterministici — necessita di una struttura probabilistica contestuale, esattamente come proposto da Khrennikov.<br/><br/>🔧 '''Road map per la collaborazione con Khrennikov'''<br/>
Per costruire un linguaggio comune tra matematica e neurofisiologia, proponiamo tre obiettivi chiave:<br/>1️⃣ **Formalizzare i concetti clinici in termini di variabili non-commutative**(A prima di B ≠ B prima di A), per descrivere l’effetto dell’ordine diagnostico.<br/>2️⃣ **Definire uno spazio degli stati (Hilbert-like) per i sistemi neurofisiologici**dove le misure cliniche diventano proiezioni di un vettore di stato.<br/>3️⃣ **Proporre un modello di interferenza clinica**per spiegare perché due diagnosi apparentemente simili possono produrre esiti completamente diversi in base al contesto.<br/><br/> Tutti concetti che possono essere rappresentati in due o tre capitoli descrittivi, provvisoriamente elencati nell'indice sottostante.<br/>
💡 '''Finalizzazione del Modulo 2'''<br/>
Il contributo di Khrennikov non deve essere un esercizio astratto di matematica, ma la costruzione del ''lessico comune'' necessario per permettere a tutti noi (clinici e matematici) di descrivere gli stessi fenomeni con le stesse parole. 
Solo così la futura costruzione dell’'''Indice Ψ''' potrà poggiare su basi concettuali solide e condivise.}}


<small>Authors: Andrei Khrennikov</small>
[[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>]]


* Introduction to Contextual Probability in Biological Systems
'''Magnitude and phase without anchoring: <span class="bi-subtitle">''why any generic index fails''</span>'''
* 'Non-commutative Measurements in Neurophysiology
* Toward a Clinical Hilbert Space


----
'''Noise, encrypted signal and clinical phase''':<span class="bi-subtitle"> ''non-evident information''</span></div>
'''Module 3 – Trigeminal Electrophysiology and Reflexes''' {{Tooltip|2=La letteratura di Turker è uno dei riferimenti più solidi sulla fisiologia dei motoneuroni trigeminali e sul controllo dei riflessi orofacciali.<br/>Il suo contributo è essenziale per comprendere come latenza, ampiezza, soglia e modulazione corticale/fusimotoria definiscano lo stato funzionale del sistema masticatorio.<br/><br/>🧠 Secondo Turker, il sistema trigeminale presenta: integrazione multisorgente (propriocettiva, nocicettiva, periodontale, muscolare); modulazione centrale dinamica dei motoneuroni α e γ; riflessi altamente adattivi e non-lineari; plasticità funzionale anche in condizioni cliniche apparentemente normali.<br/><br/>⚡ Questo dimostra che la risposta muscolare non è un semplice output meccanico, ma un vero e proprio codice neurofisiologico dipendente dal contesto, dall’attenzione, dal carico emotivo e dalla storia funzionale del paziente.<br/><br/>📌 Perché Turker è cruciale per il nostro paradigma? Perché dimostra che variazioni minime nei circuiti trigeminali possono generare asimmetrie funzionali, instabilità motoria, cambiamenti del tono basale e alterazioni riflessogene non percepibili clinicamente.<br/><br/>👉 Questo crea il ponte tra neurofisiologia classica e modello quantum-like: le risposte muscolari non sono valori fissi, ma osservabili contestuali che cambiano in base all’ordine delle misurazioni (non-commutatività).<br/><br/>📌 Esempio clinico: una asimmetria nel Jaw Jerk porta verso una diagnosi occlusale → intervento meccanico. Se invece prima si esegue un test di Root-MEPs trigeminale e si rileva una asimmetria organica, l’interpretazione del Jaw Jerk cambia completamente e il percorso terapeutico si ribalta.<br/><br/>🎯 Roadmap proposta per il contributo di Turker: 1) Motoneuroni trigeminali come sistema non-lineare: comportamento adattivo, modulazione corticale/fusimotoria, instabilità come pattern diagnostico. 2) Riflessi orofacciali: latenza, soglia e ampiezza come osservabili diagnostiche: perché non sono parametri statici, dipendenza dal contesto della misura, implicazioni cliniche per stati funzionali multipli. 3) Codice neurofisiologico e ritardo dell’informazione clinica: differenza tra segnale neurofisiologico e sintomo, perché la clinica convenzionale vede troppo tardi, base neurofisiologica della futura definizione dell’Indice Ψ.}}
</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>'''
'''Module 3 – Trigeminal Electrophysiology and Reflex Circuits'''<br/>
<small>Authors: Kemal S. Türker</small>  


* Masseter reflexes and silent periods
'''Symmetry and system stability: <span class="bi-subtitle">relation as information</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/>
'''Adimensionality: <span class="bi-subtitle"> ''why a clinical state cannot depend on units of measurement''</span>'''
<small>Authors: Gianni Frisardi, Kemal S. Türker</small>


* Definition of Structural Connectivity in the masticatory system
'''Normalization: <span class="bi-subtitle">from individual data to system comparability</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/>
'''The Index as a vector: <span class="bi-subtitle">why a number alone does not describe a state</span>'''
<small>Authors: Kemal S. Türker, Gianni Frisardi;</small>  


* Definition of Functional Connectivity in the masticatory system
Clinical phase: '''<span class="bi-subtitle">the non-evident information that distinguishes apparently similar states</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/>
The trigeminal biological constant: '''<span class="bi-subtitle">a physiological scale in which only the last decimals move</span>'''
<small>Authors: Gianni Frisardi (lead); Kemal S. Türker; Ali Esquembre</small>
</div>
</div>


* Separation and interaction between SC and FC
* 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/>
<div class="bi-topic">
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>
  <div class="bi-topic-title">'''PART III TOWARDS EXTRAORDINARY SCIENCE'''


* Model description
<div style="
** Role of trigeminal motor evoked potentials (R-MEPs) in evaluating SC
  max-width: 760px;
** Role of trigeminal reflexes in evaluating FC
  margin: 14px auto 18px;
** Integration of SC and FC in a single state variable
  padding: 14px 18px;
** Emergent Behaviour encoded in the index <math>\Psi</math>
  background: #fafafa;
* Quantum modelling of the Index '''<math>\Psi</math>'''
  border: 1px solid rgba(0,0,0,0.12);
** Quantum Bayes Theorem (QBayes)
  border-left: 4px solid #c9a24d;
** Interference term and differences from the classical approach
  border-radius: 10px;
* Expectation value and mathematical formalism
  font-size: 92%;
** Operator form of the diagnostic model
  line-height: 1.5;
** Cosine of <math>\psi</math> as a measure of overlap between concomitant pathologies
  color: #555;
  font-weight: 400;
">
 
<span style="font-style: italic; font-weight: 400;">
Note to the reader
</span><br/>
 
<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>


</div>
</div>


<div class="extraordinary-science-for-affiliates">
Instrumental framework: '''<span class="bi-subtitle">''from signals to states''</span>'''
 
Foundational decision: '''<span class="bi-subtitle">''why absolute data are not sufficient''</span>'''
 
The trigeminal biological constant:'''<span class="bi-subtitle"> ''a physiological scale in which only the last decimals move''</span>'''
 
Symmetry:'''<span class="bi-subtitle"> ''defined as system error''</span>'''
 
Elementary asymmetries:'''<span class="bi-subtitle"> ''construction and clinical meaning''</span>'''
 
<sub>b</sub>Root-MEPs → <math>\alpha</math>:''' <span class="bi-subtitle"> ''structural normalizer of the system''</span>'''
 
Masticatory reflexes → <math>\beta_i</math>:'''<span class="bi-subtitle"> ''aggregation as clinical observables''</span>'''


'''Module 1 – Introduction to the New Paradigm'''<br/>
Error → Order:'''<span class="bi-subtitle"> ''logarithmic transformation (Neperian)''</span>'''
<small>Authors: Gianni Frisardi (lead); Andrei Khrennikov; Kemal S. Türker; Ali Esquembre</small>


* Why a paradigm shift in masticatory science
Decimals:'''<span class="bi-subtitle"> ''control of <math>\tau</math> and <math>\kappa</math>''</span>'''
* From “occlusion only” to neuro–gnathological systems
* Normal Science – Crisis – Extraordinary Science in the masticatory field
* [Errore Traduzione]


'''
Excitability state→ <math>\chi</math>:'''<span class="bi-subtitle"> ''insertion as a state variable''</span>'''
 
Index <math>\mid\Psi\rangle</math>:'''<span class="bi-subtitle"> ''interpretation as a clinical state''</span>'''
 
Phase:'''<span class="bi-subtitle"> ''state transfer and the role of semantic AI''</span>'''
 
Logical closure:'''<span class="bi-subtitle"> ''internal coherence of the model''</span>'''
</div>
</div>
 
</div>

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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.”

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       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