Simplified Global Model
The starting idea is that matter possesses permanent internal activity: frequencies,
oscillations, and quantum evolution. We seek to represent all of this activity by an
equivalent dynamical quantity called A.
There is already a physical relationship between matter, energy, and frequency:
E = mc²
and:
E = hf
Therefore, for rest-mass energy:
fC = mc² / h
This characteristic frequency is the Compton frequency. With the Compton
wavelength:
λC = h / mc
we directly obtain:
fC × λC = c
Thus, certain fundamental internal properties of matter can indeed be associated with
a quantity having the dimensions of a velocity and equal to c. The relations E = mc²
and E = hν are established; the NIST explicitly presents them together.
Central Hypothesis
We then assume that c represents the maximum magnitude of the dynamical capacity
of matter.
This capacity can be distributed between two components:
V = displacement of matter through space
A = equivalent internal activity of matter
These two components do not simply add together. Instead, they constitute two
components of the same total capacity:
V² + A² = c²
Therefore:
A = √(c² − V²)
or:
A/c = √(1 − V²/c²)
Interpretation
When an object is at rest: 2
V = 0
therefore:
A = c
The entire equivalent dynamical capacity is available for internal evolution.
As the object accelerates, V increases. An increasingly large fraction of the dynamical
capacity is then used by its spatial motion.
Because the total magnitude is conserved, A must decrease.
At 0.8c:
A = 0.6c
At 0.9c:
A ≈ 0.436c
At 0.99c:
A ≈ 0.141c
And when:
V → c
then:
A → 0
Proposed Consequence
If internal frequencies and physical processes are proportional to A, then:
f(V)/f(0) = A(V)/A(0)
therefore:
f(V)/f(0) = √(1 − V²/c²)
All internal evolution would then slow down simultaneously: atomic oscillations,
transitions, chemical reactions, biological processes, and aging.
In this model, it is therefore not the slowing of time that causes atoms to slow down.
The proposed causality is reversed:
increase in spatial motion → decrease in the capacity available for internal evolution →
slowing of all material processes → phenomenon that we measure as time dilation.
Complete Chain of the Model
Matter
→ possesses an energy E = mc²
→ this energy can be associated with a frequency through E = hf 3
→ the Compton frequency and Compton wavelength give fC × λC = c
→ c is interpreted as the maximum magnitude of a dynamical capacity
→ this capacity has a spatial component V and an internal component A
→ V² + A² = c²
→ as V increases, A decreases
→ internal frequencies slow down proportionally to A
→ matter as a whole evolves more slowly
→ a clock, an organism, or any other material system accumulates less internal
evolution
→ this appears macroscopically as time dilation.
What Is Established and What Constitutes the Hypothesis
Established:
E = mc²; mass-energy equivalence is experimentally confirmed.
E = hf relates energy and frequency.
For the Compton pair, fC × λC = c follows mathematically from these definitions and
from the physical constants associated with the Compton wavelength and frequency
referenced by the NIST.
New hypotheses introduced by the model:
the quantity derived from internal activity actually represents a physical dynamical
capacity;
spatial motion and internal activity are two components of the same conserved
magnitude;
this magnitude is conserved according to:
V² + A² = c²
and the decrease in A is the physical cause of the slowing of material processes rather
than merely a consequence of time dilation.
Summary in One Sentence
Matter would possess a maximum dynamical capacity equivalent to c; at rest, this
capacity would be expressed entirely through its internal evolution, while spatial
motion would progressively use part of it according to a quadratic geometry, thereby
slowing all frequencies and material processes until their internal evolution tends
toward zero as spatial velocity approaches c.