The Rules of Cosmological Eternal Recurrence

∃Δ>0∀t(P(t)→s(t)=s(t+Δ))

The formula states: "There exists a positive time interval Δ such that for all times t, if the universe is in a state P(t) at time t, then the complete state of the universe at time t is identical to its complete state at time t+Δ."


Cosmological Eternal Recurrence posits a closed universe characterized by perfect repetition. Time functions as a closed loop. After a fixed interval, the entire cosmos returns to an identical state. All atomic positions are restored. All events are replayed. Individuals reiterate actions and experiences. The principles governing this recurrence permit no divergence or deviation. All entities within the universe recur. Conflicts reignite. Achievements are re-established. Errors are repeated. Causality also resets, ensuring each effect is consistently linked to its original cause. This framework permits no actual growth or evolution, only the reiteration of identical states.


Possible Improvements to the Formula

  • Clarifying P(t): The formula could be improved by explicitly defining what the predicate P(t) represents. An alternative improvement would be to remove P(t) if it is intended to consistently represent the entire state of the universe, thereby simplifying the expression.
  • Specifying State s(t): An enhancement to the formula involves detailing the nature of the state s(t), specifically by clarifying whether it includes all physical and informational aspects of the universe.
  • Uniqueness of Δ: The formula's precision could be improved by addressing whether Δ represents the minimal positive recurrence period.
  • Incorporating Causality: Adding conditions within the formula that reflect the resetting of causal chains would enhance its comprehensiveness.
  • Time Continuity/Discreteness: The model's underlying temporal framework could be clarified by specifying whether time is continuous or discrete.

Philosophical Implications

The concept of eternal recurrence prompts questions regarding free will, the purpose of existence, and the nature of time. If all events are predetermined to repeat infinitely, this may impact interpretations of individual agency and the significance of each moment.


Further reading

Wicks, R. (2022). Friedrich Nietzsche. In E. N. Zalta & U. Nodelman (Eds.), The Stanford Encyclopedia of Philosophy (Fall 2022 ed.). Stanford University. Retrieved from https://plato.stanford.edu/archives/fall2022/entries/nietzsche/

FILE INFO
Filename The Rules of Cosmological Eternal Recurrence
Duration 1:15 minutes
Author Dr. Michael Anderson, Social Historian and Philosopher
Type VHS-to-Digital Conversion
Source Legacy Media Preservation Institute
Description The video presents the concept of Cosmological Eternal Recurrence, a philosophical and cosmological theory positing that the entire universe and all events within it reset and replay exactly the same way, infinitely and universally