Soumendra Nath Thakur
ORCiD: 0000-0003-1871-7803
July 15, 2025
The relativistic idea of “time dilation” erroneously suggests that time itself stretches, without acknowledging the reciprocal possibility of contraction, or the physical causes underlying measurable deviations in clock rates. This abstraction is divorced from the material behaviour of oscillators, which are inherently sensitive to their environment.
In Extended Classical Mechanics (ECM), what is often misinterpreted as time dilation is more accurately understood as time distortion — a phenomenon driven by phase disruption in local oscillatory systems, not an alteration in the "scale" of time itself.
In ECM, such time distortion is quantifiable through the phase–frequency–time relation:
Tdeg = x°/(360° f ) = ∆t
Here, Tdeg denotes the time distortion derived from a phase shift in the oscillator, expressed in degrees.
x° is the accumulated phase shift, f is the oscillator’s frequency, and 360° reflects ECM’s fundamental phase loop for one complete energetic cycle.
The resulting ∆t gives the precise time distortion arising from external phase interference — whether thermal, gravitational, or kinematic.
Practical systems like GPS demonstrate this distinction clearly. They do not correct for any supposed transformation of time’s fabric; rather, they apply synchronization adjustments to account for oscillator drift, gravitational potential differences, and signal propagation delays. If time were literally “dilated,” such systems would require a fundamental rescaling of temporal units, not merely corrections for measurable physical influences.
To conflate redshift/blueshift in propagating electromagnetic waves with phase distortion in bounded oscillatory systems is a categorical error. Redshift reflects an energy-frequency shift in transit, while phase distortion arises from external influence on an oscillator’s internal dynamics — such as heat, motion, or gravitational field gradients.
In summary:
• Redshift affects frequency during wave propagation.
• Phase distortion affects timing within localized oscillatory systems.
ECM distinguishes these with precision. Confusing the two leads to fundamental misconceptions about the nature of motion, energy, and time.