Physical (A)Causality Determinism, Randomness and Uncaused Events

The universe, as we perceive it, presents a fundamental duality: the relentless march of predetermined events, governed by immutable laws, and the sudden, inexplicable emergence of phenomena that appear to defy any known cause. This profound tension between determinism and randomness forms the very core of our understanding of reality, shaping our worldview and challenging the limits of human knowledge. Are events truly fated, or does an irreducible chance govern certain aspects of existence? This inquiry delves into the nature of physical (a)causality, exploring the boundaries of predictability and the enigmatic realm of uncaused events.

Our grasp of the cosmos is perpetually constrained by the self-reflexive nature of our own theorizing and the operational limitations of empirical observation. This leads to a critical question: how do these inherent limitations influence the models we construct to describe the universe? When does chance truly intervene in the physical world, and is this perceived randomness merely a reflection of our incomplete knowledge, an "epistemic" gap in our understanding, or does it represent a fundamental, ontological feature of reality?

The exploration introduces the concept of intrinsic, embedded observers and the notion of "provable unknowns" - observables and procedures that are certified, within specific theoretical frameworks, to be fundamentally unknowable or undoable. This perspective suggests that certain aspects of reality may be inherently beyond our predictive or manipulative capabilities, not due to a lack of technological sophistication, but due to their intrinsic nature. This challenges the traditional view that all mysteries are eventually solvable with sufficient knowledge.

A critical re-evaluation of quantum mechanics, inspired by quantum logic, unveils a realm where the very act of observation can influence outcomes, and where certain quantum properties remain undefined until measured. Postulated quantum (un-)knowables are examined, leading to the unsettling possibility that some events are genuinely random at the quantum level. Further investigations extend to more "exotic" unknowns, rooted in the assumptions of classical continua and explored through models like finite automata and generalized urn models, which, surprisingly, mimic quantum complementarity while maintaining a classical sense of value definiteness.

The journey through causality also confronts the historical and philosophical underpinnings of determinism. From ancient Greek philosophers pondering a "clockwork universe" versus "cosmic chaos" to modern debates, the human desire for either ultimate control or absolute freedom has colored our interpretations of physical laws. The emotional resonance of a predetermined fate versus a universe governed by total arbitrariness is keenly felt, influencing our beliefs about free will, miracles, and the possibility of dualistic interfaces that might bridge gaps in an otherwise deterministic existence.

A significant distinction arises between two primary sources of indeterminism: the deterministic chaos found in classical systems, where extreme sensitivity to initial conditions renders long-term prediction impossible despite underlying deterministic laws, and quantum indeterminism. Quantum indeterminism itself is further subdivided, encompassing the truly random outcomes of individual events, the principle of complementarity, and the inherent value indefiniteness of quantum properties. This suggests that randomness is not a monolithic concept but manifests in different forms across the scales of physical reality.

Ultimately, the inquiry into physical (a)causality forces a confrontation with the limits of our scientific paradigms. It posits that while certain phenomena might appear random due to our current level of description, others might possess an irreducible, fundamental randomness. This ongoing dialogue between the knowable and the unknowable, between strict causality and genuine chance, remains at the heart of our quest to comprehend the universe, continually pushing the boundaries of what we can ascertain about its deepest workings.