ISHEA → EICI → Δ±1: evolution toward an energetic-informational coherence framework

PHASE 1
┌──────────────────────────────────────────┐
│ ISHEA │
│ Expanded Human Satisfaction Index │
│ │
│ - Multidimensional │
│ - Socio-economic focus │
│ - High complexity │
└──────────────────────────────────────────┘
↓
Conceptual refinement

PHASE 2
┌──────────────────────────────────────────┐
│ Energetic Transition │
│ │
│ - Energy as core constraint │
│ - Reduction of variables │
│ - Emergence of coherence │
└──────────────────────────────────────────┘
↓
Structural simplification

PHASE 3
┌──────────────────────────────────────────┐
│ EICI │
│ Energetic–Informational Coherence Index │
│ │
│ - Coherence vs Dissipation │
│ - Bio-physical grounding │
│ - System-level efficiency │
└──────────────────────────────────────────┘
↓
Abstraction

PHASE 4
┌──────────────────────────────────────────┐
│ Δ±1 Framework │
│ │
│ Δ+1 → Coherent Nodes │
│ Δ−1 → Dissipative Background │
│ │
│ - Cross-domain structure │
│ - Reduced complexity │
└──────────────────────────────────────────┘
↓
Scientific validation

PHASE 5
┌──────────────────────────────────────────┐
│ Validation Pipeline │
│ │
│ Nature Communities → Conceptual Layer │
│ OSF → Traceability & Preprints │
│ Journals → Peer Review │
│ │
│ (e.g. Scientific Reports / npj Aging) │
└──────────────────────────────────────────┘

🧠 **ISHEA → EICI → Δ±1

Energetic–Informational Coherence Research Program**

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Overview

This project documents the evolution of the ISHEA research framework, from its initial formulation as a multidimensional human-centered index toward a bio-physical and structural approach based on energetic–informational coherence.

The research progresses through three main stages:

ISHEA — descriptive, multidimensional index

EICI — bio-physical coherence framework

Δ±1 — structural abstraction across domains

The goal is to explore whether coherence concentration within dissipative environments represents a recurring organizational pattern in complex systems.

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Research Motivation

Many complex systems — biological, physical, and computational — exhibit a common feature:

A limited subset of organized structures disproportionately influences system behavior.

This observation motivates the central question:

Is this pattern domain-specific, or does it reflect a deeper structural constraint?

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Framework Evolution

Phase I — ISHEA (Expanded Human Satisfaction Index)

Multidimensional socio-economic model

Integrates needs, opportunity, progress, and institutions

High descriptive power, but limited physical grounding

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Phase II — Energetic Transition

Identification of energy as a fundamental constraint

Shift from indicators → underlying system drivers

Emergence of coherence as a central concept

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Phase III — EICI (Energetic–Informational Coherence Index)

Focus on:

energetic flow

coherence

dissipation

Reframes system performance as a balance between:

organized behavior

entropy and energy loss

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Phase IV — Δ±1 Structural Framework

Abstract representation of system organization

Conceptual definition:

Δ+1: localized coherence (organized, high influence)

Δ−1: dissipative background (noise, entropy)

This formulation aims to provide a common descriptive language across domains.

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Core Hypothesis

Across diverse systems:

Coherent structures concentrate influence, while surrounding regions remain dissipative.

The research explores whether this reflects:

a structural invariance, or

a convergent but domain-specific phenomenon

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Domains of Application

The framework is being explored across:

Fluid dynamics (turbulence, vortices)

Neural systems (synchronization hubs)

Dynamical systems (attractors)

Cellular bioenergetics (PMF, redox balance)

Plasma physics (filaments, flux tubes)

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Research Structure

This project is part of a broader research pipeline:

Conceptual layer

Posts published in Nature Communities

Intermediate layer

OSF preprints and working documents

Validation layer

Manuscripts currently under peer review

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Current Status

Ongoing work includes:

operational definition of Δ (coherence measure)

domain-specific parameterization

sensitivity and comparative analyses

preparation of peer-reviewed publications

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Methodological Direction

The research combines:

conceptual modeling

system-level analysis

bioenergetic interpretation

cross-domain comparison

Future work aims to include:

mathematical formalization

computational modeling

empirical validation

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Key Research Questions

Can coherence be defined in a domain-independent way?

Is Δ measurable across different systems?

Do coherence transitions precede system instability?

Can this framework improve prediction or control of complex systems?

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Repository Structure

This OSF project includes:

conceptual documents

framework evolution records

domain-specific analyses

preprints and working papers

links to external publications

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Epistemological Position

This work does not claim a universal physical law.

Instead, it proposes:

a recurring structural pattern that may reflect constraints in energetic organization.

The framework is exploratory and intended for progressive validation.

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Contribution and Feedback

This is an open and evolving research program.

Constructive feedback, domain-specific critique, and collaborative exploration are welcome.

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Author

Carlos Pérez Pulido
ISHEA Institute — Universal Coherence Division

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