Why is time regarded as an extra dimension if it is just an effect (or property/attribute) of 3-dimensional space?

Time isn’t an effect, property or attribute of ‘3-dimensional space’. They are 2 distinct, separate dimensions.

Time is the dimension of change (hence ‘rate’…eg miles per hour…the per hour bit is time calibrating change.)

Space (in this context) is the dimension of (relative) position (hence xyz-axis). In fact, Space is the dimension of static position (because, by definition, it excludes Time).

Merge the dimension of static relative position (Space) with the dimension of change, and hey presto you get Spacetime, the dimension of changing position…aka Motion.

That makes Time a pretty important dimension in its own right. Change is what drives the universe, after all.

I am going to link below to an answer I just posted to a similar question.

I hope this helps…

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If space is absolute no matter the frame of reference but time is relative based on the frame of reference of the observer, should quantum superposition be interpreted as a particle in 2 or more places/states in time simultaneously instead of space?

Is space absolute?

Space, the word, has different meanings depending on context.

When you talk about Space and Time together you are talking in the context of dimensions.

Dimensions are abstract frameworks / models, formulated in standard units, that we overlay an aspect of reality in order to calibrate and index that particular reality.

[There are many many dimensions, many aspects of reality, that are calibrated in standard units. Dimensions of weight, mass, density, radioactivity, heat, colour, brightness, sound volume, tone, pitch etc etc.]

All dimensions are relative. And all dimensions are abstract ( eg the dimension of temperature is abstract, heat the underlying reality). And all dimensions must be, obviously, reference-frame specific.

Space (in the context of dimensions) is the dimension of relative position. The XYZ axis, the three sub-dimensions (vectors) of height, breadth and depth, simply determine relative position. And we calibrate in units of, say, miles, or centimetres etc.

And Time is the dimension of change. We calibrate change (rate) in units if time, as in xxxx PER HOUR. The ‘per hour’ or ‘per second’ etc is the calibration of change.

So Time is always used in conjuncture with another dimension to give that other dimension a ‘rate’ of change.

So, Space is the dimension of (relative) position. Time is the dimension of change. Merge the two and you get SpaceTime the dimension of changing position aka Motion.

Spacetime is the dimension of (constant) motion. [‘Constant’ motion (eg miles per hour) because dimensions are reference frame specific…for changing motion (acceleration) we need spacetime-time (miles per hour per hour) and for increasing acceleration its spacetime-time-time (eg miles per hour per hour per hour) etc]

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Does time and temperature still exist?

I’m not fully sure of the context of your question. If I assume by the word ‘exist’ that you mean that is a ‘concrete noun’ (as opposed to an abstract noun); that it has a tangible reality beyond our collective imaginations.

Temperature and Time are both abstract nouns. So they only ‘exist’ in our collective minds.

Temperature is the calibration framework based on a standard set of units, by which we measure heat. Heat is real, temperature is abstract. Temperature is the dimension of heat (a dimension being an abstract calibration framework).

So no, temperature does not exist (beyond mans collective mind), it is heat that is real, that exists.

The word Time has two core meanings, two different contexts.

In one context Time too is, like Temperature, a dimension, i.e. an abstract calibration framework. Time is the dimension of change. Time is how we calibrate and index change. We say, for instance, motion (i.e. changing position ) is calibrated as, say, miles PER HOUR. The per hour bit is the calibration of the change. Time (in this context) is the dimension of change. Time is abstract, change is real.

So in this context Time, like temperature, only exists in our collective minds.

Time has another seperate (though similar) meaning. It is also a collective noun. It is a mass noun. Mass nouns are non-specific sets of something. For example ‘Traffic’ is a mass noun. Traffic is a non-specific set of vehicles. We give Traffic physical attributes…we say it stops, it starts, it flows, for example. But in reality its the underlying vehicles that move. Fundamentally Traffic doesn’t exist, its an abstract collective noun. Only individual vehicles exist.

Simarly, Time is a mass noun. It is a non-specific set of change-events. The only evidence of ‘Time passing’ is change/change-events. Time is to Change what Traffic is to vehicles. We give Time physical attributes…it starts, it stops, it flows. But fundamentally Time doesn’t exist, its an abstract collective noun. Only individual change-events exist.

But try telling a taxi driver late for the airport that Time and Traffic don’t exist..

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