A Unified Scientific Computational Framework: Entropy-Driven GUT & Heat Unification, Model Recursive Field Evolution and Emergent Gravity
ORAL
Abstract
In this work, we propose an entropy-driven model of unification that describes the recursive evolution of fundamental fields, including electromagnetic and plasma fields, under the influence of heat generation. The model encapsulates the dynamical interplay between field interactions and thermodynamic feedback, with heat generation driving entropy growth. This feedback ultimately leads to the unification of forces as entropy increases, with gravitational effects emerging naturally due to energy concentration. The governing equation for the evolution of the fields is given by:
\[
\frac{d F_i(t)}{dt} = \sum_{j \neq i} \frac{w_{ij}(S(t))}{1 + \alpha E} F_j(t) + \frac{1}{1 - C_d(B(S(t)))} \cdot \Delta F_i(t) + \gamma_{\text{heat}} Q_{\text{heat}}(t)
\]
where \( F_i(t) \) represents the amplitude of field \( i \) at time \( t \), \( w_{ij}(S(t)) \) is the feedback strength between fields modulated by the system's entropy \( S(t) \), and \( Q_{\text{heat}}(t) \) is the heat generation term driving entropy growth. The recursive nature of this equation establishes a framework where **gravity** emerges as an emergent force from the **feedback dynamics** between fields. By analogizing the recursive structure of field evolution to **graph theory correlations**, we propose that this framework also has implications for understanding **cognitive processes**, where fields evolve in a way that emulates **cognitive functions** such as learning and decision-making. Specifically, the recursive feedback loops described here mirror the recursive processes underlying **symbolic cognition**, suggesting a potential bridge between **physical field theory** and **neuroscience**. The model provides a novel perspective on **unification theory**, with connections to **high-energy physics** and the **emulation of cognitive systems** through the mathematical formalism of **graph theory**.
We apply an entropy-feedback model to classical mechanics problems, yielding velocity evolution that bounds energy, enhances dissipation, and suppresses blow-up. With smooth data, it ensures \( \vec{u}(t) \in H^s \) for all \( s \geq 1 \), preserving global regularity. We validate cosmological observations (via n-d models), confirming self-consistency and enabling the emergence of physical structures internally.
\[
\frac{d F_i(t)}{dt} = \sum_{j \neq i} \frac{w_{ij}(S(t))}{1 + \alpha E} F_j(t) + \frac{1}{1 - C_d(B(S(t)))} \cdot \Delta F_i(t) + \gamma_{\text{heat}} Q_{\text{heat}}(t)
\]
where \( F_i(t) \) represents the amplitude of field \( i \) at time \( t \), \( w_{ij}(S(t)) \) is the feedback strength between fields modulated by the system's entropy \( S(t) \), and \( Q_{\text{heat}}(t) \) is the heat generation term driving entropy growth. The recursive nature of this equation establishes a framework where **gravity** emerges as an emergent force from the **feedback dynamics** between fields. By analogizing the recursive structure of field evolution to **graph theory correlations**, we propose that this framework also has implications for understanding **cognitive processes**, where fields evolve in a way that emulates **cognitive functions** such as learning and decision-making. Specifically, the recursive feedback loops described here mirror the recursive processes underlying **symbolic cognition**, suggesting a potential bridge between **physical field theory** and **neuroscience**. The model provides a novel perspective on **unification theory**, with connections to **high-energy physics** and the **emulation of cognitive systems** through the mathematical formalism of **graph theory**.
We apply an entropy-feedback model to classical mechanics problems, yielding velocity evolution that bounds energy, enhances dissipation, and suppresses blow-up. With smooth data, it ensures \( \vec{u}(t) \in H^s \) for all \( s \geq 1 \), preserving global regularity. We validate cosmological observations (via n-d models), confirming self-consistency and enabling the emergence of physical structures internally.
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Presenters
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Madison J Newell
Embry-Riddle Aeronautical University, Daytona Beach
Authors
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Madison J Newell
Embry-Riddle Aeronautical University, Daytona Beach