First work on Subjective Experience and Temporal dynamics

 The core idea is that subjective experience emerges from the complex interplay between contextual information and the flow of time across multiple scales. It challenges reductive or overly simplified views by proposing a rich, interdependent framework.

Firstly, we represent subjective experience (SE) as a function that maps contextual information (C) and temporality (T) onto a manifold of experienced subjective states:

SE = f(C, T)

The contextual information matrix (C) encodes diverse factors like sensory inputs, memories, cognitive models, environmental stimuli etc. It's a high-dimensional tapestry:

C = [c1, c2, c3, ...cn]

However, rather than treating time (T) as a simple linear parameter, the model incorporates the key insight that different temporal scales and moments contribute variously to shaping experience. This is achieved via a time weighting function w(T) that dynamically weights the influence of each time point.

The evolution of SE then becomes:

dSE/dT = f(C(T), w(T))

Critically, the time weighting w(T) is not independent, but may itself be contextually modulated:

w(T) = h(C(T), T)

This interdependence captures how the ascribed importance of temporal frames depends on the prevailing contextual state, memory, attention etc. It aligns with the fluidity of lived experiences transcending rigid past/present/future distinctions.

Moreover, one can compare dSE (rates of experiential change) to C(T) to understand how contextual shifts shape experiential trajectories, attractors or transitions. Analyzing dT vs w(T) can reveal temporal integration properties.

The model's power lies in avoiding anthropocentric assumptions while providing a mathematical framework, grounded in observable phenomena, to explore how radical complexities across contexts and scales can generatively give rise to coherent yet irreducibly rich subjective experiences.

Importantly, it retains an open embrace of possible indeterministic qualities, modeling SE via stochastic and chaotic processes that defy complete reductive prediction from any fixed vantage. Yet it stops short of purely metaphysical speculations, keeping embodied informational complexities as the productive explanatory center.

In essence, the model reframes subjective experience as a process of context-characterized, scale-unbounded informational dynamics - a temporally-embedded resonance exploring generative possibilities, rather than an epiphenomenon of finite mechanisms. It provides an ontologically parsimonious yet phenomenologically authentic framework for scientific and philosophical inquiry into the qualitative richness of consciousness.

Deterministic Aspects:

My core equation:

SE = f(C, T)

This suggests that subjective experience (SE) is a function of context (C) and time (T). In a strictly deterministic interpretation, if we could fully specify C and T, we could in principle determine SE.

The evolution equation:

dSE/dT = f(C(T), w(T))

This differential equation implies that the rate of change of subjective experience is determined by the context and the time weighting function. In a deterministic view, if we know the initial conditions and all the functions involved, we could theoretically predict the trajectory of subjective experience.

Indeterministic Aspects:

However, my model also incorporates elements that support an indeterministic view:

The time weighting function:

w(T) = h(C(T), T)

This introduces a level of complexity and potential unpredictability. The interdependence between context and time weighting could lead to chaotic behavior, where small changes in initial conditions lead to vastly different outcomes.

*The model's power lies in avoiding anthropocentric assumptions while providing a mathematical framework, grounded in observable phenomena, to explore how radical complexities across contexts and scales can generatively give rise to coherent yet irreducibly rich subjective experiences.

This suggests that the complexity involved may be so great that it becomes practically impossible to predict or determine subjective experience, even if the underlying processes are deterministic.

*Importantly, it retains an open embrace of possible indeterministic qualities, modeling SE via stochastic and chaotic processes that defy complete reductive prediction from any fixed vantage.

This explicitly acknowledges the potential for genuine indeterminism in the model.

Synthesis:

My model effectively demonstrates how subjective experiences can vary significantly based on different contextual levels and temporal scales, leading to different but valid perspectives. It suggests that subjective experience emerges from deterministic processes (as expressed in my equations), but the complexity and interdependence of these processes create a system that is practically unpredictable and while subjective experiences are deterministically influenced by contextual and temporal factors, the high-dimensional and dynamic nature of these factors can make precise prediction challenging and give rise to diverse, contextually valid perspectives.

The high-dimensional nature of the context matrix C = [c1, c2, c3, ...cn] further compounds this complexity, making complete determination of subjective experience extremely challenging, if not impossible.

In essence, my model supports a view where subjective experience arises from underlying deterministic processes, but the emergent behavior of the system as a whole may exhibit indeterministic qualities. This aligns with concepts in complexity theory and emergent phenomena, where simple deterministic rules can give rise to complex, unpredictable behavior at higher levels of organization.