Space, Time, and an Objective Now

On relativity · Space · Time

Space, Time &
an Objective Now

My argument is that a shared reality underlies our different measurements of it. Local clocks can disagree without erasing an objective present.

General Relativity describes how gravity, matter, and spacetime interact. I distinguish that descriptive success from the claim that it exhausts reality. Our instruments belong to the universe they measure; their readings need not reveal its complete underlying structure.

01 / My central claim

Different durations. A shared present.

I hold that events have an objective ordering. Differences in local elapsed time describe how matter and clocks participate in that reality. If every relevant effect could be accounted for, those local histories would map to a common underlying time.

Time is not simply another spatial direction. My model separates their roles: mass and energy shape space, while motion affects local time. Its central distinction is between the underlying order and the processes that measure it.

A diagram of my proposed model

Different local durations within one objective intervalTwo vertical boundaries mark the same underlying interval T zero to T one. Three rows show illustrative clock readings of half a second, one second, and two seconds within those boundaries. This depicts the author’s proposed model. T₀T₁Local clock ALocal clock BLocal clock C 0.5 s1 s2 s ONE UNDERLYING INTERVAL · DIFFERENT LOCAL DURATIONS
Illustrative clock readings show my argument; they are not experimental predictions.

02 / The light-speed example

One pulse. Two measurements.

Take a rocket following light at 0.75c. In Earth’s frame, their separation grows by 0.25 light-seconds each second. The rocket still measures the light at c, using its own distances and synchronized clocks.

My objection concerns the interpretation: a consistent account of local measurements does not, by itself, settle whether a deeper objective framework exists.

Special relativity · Velocity

\[u’=\frac{u-v}{1-uv/c^2}\]
\[u=c,\quad v=0.75c\;\Longrightarrow\;u’=c\]

Here c is light’s vacuum speed; u and v are the light and rocket velocities in Earth’s frame.

Light and a rocket after one Earth-frame secondStarting together at zero, the rocket reaches 0.75 light-seconds while the light pulse reaches 1 light-second. The gap is 0.25 light-seconds. EARTH FRAME · AFTER 1 SECOND Gap: 0.25 light-seconds StartRocket · 0.75cLight · c 00.75 light-seconds1 light-second
These distances use Earth’s coordinates. The rocket’s measured light speed remains c.

03 / Giving the argument a mathematical form

Local time and underlying time

Established relation · Flat spacetime

\[d\tau=dt\sqrt{1-\frac{v^2}{c^2}}\]

Proper time τ is what the moving clock records. Coordinate time t belongs to a chosen inertial frame. At v = 0.75c, dτ ≈ 0.661dt.

My proposed relationship

\[d\tau_i=F_i(T)\,dT\]

T represents objective time. Fᵢ(T) represents a positive local clock-rate factor. This expresses my proposed mapping; it does not yet specify a physical law for Fᵢ.

Standard relativity does not select my universal present, and relative motion alone is not spacetime curvature. My argument adds an underlying order. Defining its clock-rate factors and reference for motion is the work required to turn that argument into a predictive theory.

Differences in measurement do not erase the reality being measured.
Physics references

For the established relations: University of Pittsburgh — velocity addition; UNSW — time dilation; Einstein Online — spacetime. The objective-time model above presents my own argument.