I just wanted to provide some more technical justification in the cosmology area on why 24 hour creation days and the speculated variation in the speed of light would have catastrophic impacts on the universe we hold dear to us. I would love to get a good technical reply on this if anything I have stated in the cosmology area is incorrect.
There is a lot of physics connected to the speed of light, so scientists get very nervous about changing it for one reason or another. Most of the understanding that mankind has built up during the past century has been built on the foundation that the speed of light in a vacuum does not change. This characteristic of the universe that has been extensively measured gives mankind the scientific theories that we depend on today for engineering, astronomical observations, cosmological theories, and performing high energy particle physics, so a change in this one parameter would produce a fatal flaw in much of theoretical edifice of modern science and our understanding of the universe. Consequently, many scientists believe that the speed of light in a vacuum is a fundamental natural constant in this universe. It has been measured many times in many labs and has shown great consistency among the measurements. As we look back through time by our astronomical observations of extremely distant objects, we see the same consistency by measuring the absorption lines of hydrogen and other elements and match them to the same elements that we can measure on earth in this day and age. Of course these absorption lines are red shifted based on the Hubble constant which has shown the entire universe is stretching out like a tent, but very slowly when compared against early inflation. This stretching has been measured to be around a factor of 1000 from hydrogen recombination when the earth was 300,000 years old to the modern era about 13.7 billion years later.
Relativity LawsThe theory of special relativity is based on this consistency in the speed of light and shows no variation as we travel one direction or another in space or back in time. General Relativity also is based upon this view in an accelerating frame of reference except that the general relativity equation allows for a cosmological constant (or in other words accelerating space time expansion) that permits separated points in space to eventually separate faster than the speed of light after an extremely long time. The Cosmological Constant is extremely small and has been measured to be 10^-
120 which permits this anthropic compatible universe to exist. Otherwise it would have quickly collapsed or exploded into a vapor at the Big Bang if much bigger or smaller. Because the cosmological constant is this very small value and positive, it permitted our wonderful universe to come into existence and also permits us to view over 99.99% of the universe at this day and age. Relativity theories are based on the concept that the speed of light is a symmetry of Nature and is the same in all moving reference frames. The special and general relativity theories absolutely demand that the speed of light in a vacuum doesn't change, if it did vary in different reference frames that are traveling at different speeds relative to each other, then the physical processes or laws in each would be different causing a breakdown in relationships between chemistry, nuclear physics, and gravity. It is a wonderful thing that the law of general relativity exists otherwise we would decompose as we traveled at faster and faster rate relative to light speed or as light varied in speed relative to the other constants in nature.
Quantum TheoryThe reason for this decomposition of matter is related to quantum effects and physical forces related to the electron's charge and mass. The electron is held in orbit by electrostatic attraction. The radius of an atomic electron shell is based on balancing centripetal force with the Coulomb force.
m
eυ ^2/r=k
e e /r^2
where m
e is the electron mass, υ is the velocity of the electron, e is the charge of the electron and ke is Coulomb’s constant.
The energy of the n-th level is determined by the radius:
E= - k
e e^2/2rn = - (k
e e^2)^2 m
e/2(ħ^2)(n^2) = -13.6 eV/n^2
where:
• ħ is h/2π is the reduced Planck Constant;
• n is an integer
• ^2 indicates the preceding value is squared
The combination of natural constants in the energy formula is called the Rydberg energy (R
E):
R
E = ((k
eе^2)^2)m
e/2ħ^2
This expression is clarified by interpreting it in combinations which form more natural units:
m
ec^2 is the rest mass energy of the electron (511 keV/c)
((k
eе^2 /ħc = α ≈ 1/137 is the fine structure constant
R
E = ½(m
ec^2)α^2
where:
• c is the speed of light in a vacuum;
Also, complete De Broglie wavelengths must be achieved as the electron orbits the nucleus; the energies of electron orbits are therefore quantized based on these wavelengths. The electron is described by a wave and a whole number of wavelengths must fit along the circumference of the electron's orbit:
nλ= 2πr
When the electron wavelength increases to the next integer value a new stable orbit is available. When a photon is absorbed by the electron at the exact energy value that permits the transition, the electron can move into the next allowed state in the atom. Each permitted orbit depends on the other fixed constants of nature such as Planck’s Constant, the charge of the electron, the electric constant, pi and the speed of light (c). If one of these constants change in value relative to the others, the geometry of the atom changes. The forces between atoms would also change and consequently the chemistry between atoms and molecular characteristics would also change.
The wavelength of the electron as it orbits is equal to the Planck constant (h) divided by its momentum. The de Broglie equations relate the wavelength λ and frequency f to the momentum p and energy E, respectively, as
λ = h/p and f = E/h
where h is Planck’s constant. The two equations are often written as
p = ħk
E = ħω
where ħ = h/2π is the reduced Planck’s constant, pronounced "h-bar"), k is the angular wavenumber, and ω is the angular frequency.
Using results from special relativity, the equations can be written as
λ = h/γmυ = h/mυ √(1-υ^2/c^2) and f = γmc^2/ħ = (mc^2/ h) / √(1-υ^2/c^2)∙
Energy is related to momentum by the Einstein Energy Momentum Equation: (E/c)^2 – p^ 2 = (m
ec)^2. Notice that if the speed of light changes, the relationship between momentum and energy also changes as the square root of (E/c)^2 – (m
ec)^2 where in this case for orbiting atoms, m
e is the rest mass of the electron in its reference frame. Therefore, m
e always measures the same in any reference frame and because m
e and c don’t change, neither does the physics of the atom. This is the fundamental local symmetry of the universe first explained by Einstein and proven many times by observing natural events.
Speed Change ImpactsNow if the speed of light changes, the only way to maintain the wavelength of the electron is for the mass of the electron to change reciprocally as well as the total energy. This of course would break another law of nature, conservation of energy. Since this cannot happen the geometry must change. If the speed of light increased by a factor of 1000 then the rest mass and the total energy must be reduced by a factor of 1000 for the wavelength to not change. However, a reduced total energy of 1000 for the electron and a reduced total mass for the electron would result in an increase of 1000 times in the radius of the atom to permit balance of the centripetal force and the Coulomb force. This would result in a complete geometry change for all atoms and impact molecular structures and energy levels. In summary, if we decrease the energy by a thousand and increase the radius by a thousand the atoms fly apart. All chemistry and physics as we know it would change if the speed of light differed by any significant amount.
Historical Evidence of Speed ChangesBut there is no historical evidence that any significant change in the speed of light has ever occurred, and as shown by the measurements described below and the limits imposed by the measurement, large changes in the speed of light in the last few billion years have never occurred.
So the bottom line is that if you change the speed of light, energy or momentum or any of the physical constants, you are dreaming up a whole new set of physical relationships that have never been observed and likely cannot come close to matching existing processes used to create life, move continents, establish an atmosphere and produce a water cycle.
God has good reasons to make a covenant with the laws of Heaven and earth. I ask you, how is it conceivable that the 24 hour hyperinflation hypothesis allows the processes of nature to continue unaffected while simultaneously changing the speed of light. Light would have to travel nearly a trillion times faster to complete the stretching of the universe to make it look like the universe in 13.7 billion years old. We need to carefully look at any new physical equations postulated and determine if they are rational. In any case these changes would violate the Biblical statement in Je 33:25 that the laws are fixed.
The Relationships Among Forces of NatureThere are four fundamental force 'constants' in nature that 'hold all things together' according to fundamental scientific theories. If any of these change by an ever so slight amount the world becomes unglued (literally). Science has identified these fine tuning constants of nature that govern the relative force between each: electro-magnetic, strong, weak and gravity. All of chemistry is based on the electromagnetic force with a dimensionless value (alpha) of approximately 1/137. It represents the force between two electrically charged particles when compared to the strong force dimensionless number of 1. The electric fine structure constant is:
α = е^2 /ħc4πє
o = е^2cμ
o/2h = k
eе^2 /ħc
where:
• e is the elementary charge;
• ħ is h/2π is the reduced Planck constant;
• c is the speed of light in a vacuum;
• є
0 is the electric constant;
• μ
0 is the magnetic constant or vacuum permeability, a defined conversion factor;
• k
е is the constant of Coulomb's law.
You can see the value for the speed of light (c) in the denominator of the equation. This indicates that a change in the value of c will inversely impact the force relationship relative to the strong force as well as the weak force and gravitational force. All of the forces of nature are fined tuned on a razor's edge which permits life to exist. Vary any one by even a portion of a percent and significant impacts to processes, such as chemistry, begin to occur. If alpha changed by 4% no carbon would be produced in stellar reactions. As the variation increases larger impacts result. If alpha increased to .1 or larger (about a 10 times increase) no stellar fusion would be possible and stars would not exist with the universe dying a cold death.
Fortunately this has not occurred. Scientists have wondered if this parameter has changed over the life of the universe and performed measurements to see how much it has varied. They have now determined that if it is changing, it is a very small negative variation based on data collected from atomic clocks in the present era. Scientists have also made measurements of 128 quasars that occurred early in the universe. The data collected showed that the change over the past 10 to 12 billion years is limited to one part in 100,000:
Δα/α = (α
then – α
now)/ α
now = (-0.57 ±0.10) x 10^-5
For more details, please see
http://en.wikipedia.org/wiki/Fine-structure_constant. ConclusionsSo then, what should we take from all of this detail? First we find that any variability of the speed of light would be harmful to any atomic structure or molecule and consequently all forms of matter in the universe as it begins to accelerate or slow down since it's atomic geometry changes with acceleration or over time due to the slowly changing cosmological constant. Therefore, God in his infinite wisdom, set physical laws in place that would not vary with space-time variation in order to create a stable universe.
Secondly, the physical laws that God made knowable to mankind, show us how processes would vary by changes in one or more of the fine tuned constants of nature. Information provided from certain types of historical events can be used to determine how much these constants could have changed over time. By observing similar processes occurring presently with those happening at great distances or the extreme past and comparing, we can determine the extent of the constant variation. These measurements have been made and show us that if there was any variation in the speed of light, it was extremely small or zero over the past 13 billion years.
We can count our serendipitous stars for the thoughtfulness and planning our Creator used in designing our livable home with an invariant speed for light. You may have drawn the conclusion by now from the last few posts on the characteristics of the universe that long time periods are needed for 1) gravity to shape the heavens, and 2) to reverse the effects of early inflation that would on its own only blow up the universe. You hopefully have come to understand in this last segment that 3) the constants in nature cannot vary, especially the speed of light, without everything flying apart or collapsing into matter with new characteristics. If you have reached this conclusion, you would be also be correct and perfectly consistent with the Bible and Nature.
Warmest Regards Brothers and Sisters
Lee