Intro: How To: Define the Value of a Second
- a box from which to think outside of
( for dimensional requirements for box, see: https://www.instructables.com/member/Bananamultiverse/ )
Step 1: Understand the Nature of Time
According to the efforts of many intellectually and financially well funded individual and institutional studies, time is relative; which can be interpreted as potential variations in the rate of the passage of time across relative points in space.
The relative nature of time requires the value of a second be defined locally rather than universally.
Step 2: Establish Variables That Affect the Passage of Time
First, what do we mean by "value of a second"?
Consider the aging process. If the value of a second were greater for one person over another, then the individual living with the greater second would age more slowly relative to the other whose second is of lesser value. The relative "slowness" of time is a result of an increase in time in one point in space compared to another.
A person in the thermosphere of earth who shares all physical attributes (mass, velocity, density, etc.) of a person on the surface of earth will age more quickly floating in space than their twin on the ground.
- also -
One of those persons moving at a velocity of 2,200 mph (3,540 km/h) at an altitude of 85,000 feet (25,908 meters) will age more slowly than the other sitting static at the same altitude.
- and finally -
Those same two people occupying a similar altitude traveling at a matching velocity will age at a similar rate.
So, both the strength of the gravitational force acting on the individual and their measured velocity determine the value of that specific individual’s second relative to any other.
Gravitational force and velocity are our two variables.
Step 3: Provide, Simply, the Maths
The greater the gravitational force, the greater the value of a second.
The greater the velocity, the greater the value of a second.
So, because of the accumulative effect of velocity and gravitational force on a second, a relative second is the product of the two:
Relative Second (S) = Total Gravitational Force (G) * Velocity (V)
- or -
S = GV
- and for you space-time contractors out there -
S = m^3/s * m/s - or - m^4/s^2
Thank you - enjoy!