User:Idozur03/sandbox

Subjective Time
Subjective time is the individual's personal perception of time. It is the way that time is experienced and perceived by a person, and can be influenced by various factors such as emotion, attention, and memory.

Subjective time can differ from objective time, which is the measurable, physical time that is tracked using traditional clock s and other devices.

Retrospective and Prospective Time
Retrospective Time and Prospective Time are both types of Subjective Time.

Retrospective time refers to the way that individuals perceive and remember past events, While Prospective time refers to the individual's perception of an event while it's happening.

==== Examples for prospective and retrospective time : ==== The Swiss geologist Albert Heim published one of the first scholarly works on the effect of the feeling of slow-motion and subjective experiences of time in 1892. To accomplish this, he collected accounts of near-death experience s from the members of the Swiss Alpine club. Heim noted that 95% of the group reported:

"a dominant mental quickness and sense of surety. Mental activity became enormous, rising to a hundred-fold velocity or intensity. . . . Time became greatly expanded. The individual acted with lightning-quickness in accord with accurate judgment of his situation."

This seems to describe the prospecrive perception of time, as the members experienced during those near-death events.

A good example for the division of an event to prospective and retrospective times presented with the “holiday paradox”.

The holiday paradox states that In general, a time filled with varied and interesting experiences seems short in passing, but long as we look back. On the other hand, a tract of time empty of experiences seems long in passing, but in retrospect short. A week of travel and sight-seeing may subtend an angle more like three weeks in the memory; and a month of sickness hardly yields more memories than a day.

Subjective Clocks
Subjective clock intended to be a tool for measuring subjective time. The measurement will be based on an individual's perception of time, hence will be influenced from many humanize factors other than objective time.

Retrospective and Prospective Clocks
It suggested that we have two different biological mechanisms for measuring the two types of subjective time - prospective and retrospective:

Prospective clocks - $$C_P(t)$$ measure time throught events, i.e., during class lessons, parties, sleep, etc.

Retrospective clocks - $$C_R(t)$$ measures the time which occurs after events happen in the form of a narrative of our lives.

Transformation between Retrospective and Prospective Clocks:
$$C_P(x) = \int_{\tau_b}^x \tfrac{1}{\tfrac{\partial C_R(t)}{\partial t}} \,dt$$

And from prospective to retrospective (in a similiar way):

$$C_R(x) = \int_{\tau_b}^x \tfrac{1}{\tfrac{\partial C_P(t)}{\partial t}} \,dt$$